id sid tid token lemma pos american_scientific_journal-2734 1 1 138 138 NUM american_scientific_journal-2734 1 2 american american ADJ american_scientific_journal-2734 1 3 scientific scientific ADJ american_scientific_journal-2734 1 4 research research NOUN american_scientific_journal-2734 1 5 journal journal NOUN american_scientific_journal-2734 1 6 for for ADP american_scientific_journal-2734 1 7 engineering engineering NOUN american_scientific_journal-2734 1 8 , , PUNCT american_scientific_journal-2734 1 9 technology technology NOUN american_scientific_journal-2734 1 10 , , PUNCT american_scientific_journal-2734 1 11 and and CCONJ american_scientific_journal-2734 1 12 sciences science NOUN american_scientific_journal-2734 1 13 ( ( PUNCT american_scientific_journal-2734 1 14 asrjets asrjet NOUN american_scientific_journal-2734 1 15 ) ) PUNCT american_scientific_journal-2734 1 16 issn issn PROPN american_scientific_journal-2734 1 17 ( ( PUNCT american_scientific_journal-2734 1 18 print print NOUN american_scientific_journal-2734 1 19 ) ) PUNCT american_scientific_journal-2734 1 20 2313 2313 NUM american_scientific_journal-2734 1 21 - - SYM american_scientific_journal-2734 1 22 4410 4410 NUM american_scientific_journal-2734 1 23 , , PUNCT american_scientific_journal-2734 1 24 issn issn PROPN american_scientific_journal-2734 1 25 ( ( PUNCT american_scientific_journal-2734 1 26 online online ADJ american_scientific_journal-2734 1 27 ) ) PUNCT american_scientific_journal-2734 1 28 2313 2313 NUM american_scientific_journal-2734 1 29 - - SYM american_scientific_journal-2734 1 30 4402 4402 NUM american_scientific_journal-2734 1 31 Β© Β© PROPN american_scientific_journal-2734 1 32 global global ADJ american_scientific_journal-2734 1 33 society society NOUN american_scientific_journal-2734 1 34 of of ADP american_scientific_journal-2734 1 35 scientific scientific ADJ american_scientific_journal-2734 1 36 research research NOUN american_scientific_journal-2734 1 37 and and CCONJ american_scientific_journal-2734 1 38 researchers researcher NOUN american_scientific_journal-2734 1 39 http://asrjetsjournal.org/ http://asrjetsjournal.org/ NOUN american_scientific_journal-2734 1 40 new new ADJ american_scientific_journal-2734 1 41 bayesian bayesian NOUN american_scientific_journal-2734 1 42 lasso lasso NOUN american_scientific_journal-2734 1 43 composite composite ADJ american_scientific_journal-2734 1 44 quantile quantile ADJ american_scientific_journal-2734 1 45 regression regression PROPN american_scientific_journal-2734 1 46 fadel fadel PROPN american_scientific_journal-2734 1 47 hamid hamid PROPN american_scientific_journal-2734 1 48 hadi hadi PROPN american_scientific_journal-2734 1 49 alhusseini alhusseini PROPN american_scientific_journal-2734 1 50 * * PROPN american_scientific_journal-2734 1 51 department department PROPN american_scientific_journal-2734 1 52 of of ADP american_scientific_journal-2734 1 53 statistics statistic NOUN american_scientific_journal-2734 1 54 and and CCONJ american_scientific_journal-2734 1 55 economic economic ADJ american_scientific_journal-2734 1 56 informatics informatic NOUN american_scientific_journal-2734 1 57 , , PUNCT american_scientific_journal-2734 1 58 university university PROPN american_scientific_journal-2734 1 59 of of ADP american_scientific_journal-2734 1 60 craiova craiova PROPN american_scientific_journal-2734 1 61 , , PUNCT american_scientific_journal-2734 1 62 romania romania PROPN american_scientific_journal-2734 1 63 university university PROPN american_scientific_journal-2734 1 64 of of ADP american_scientific_journal-2734 1 65 al al PROPN american_scientific_journal-2734 1 66 - - PUNCT american_scientific_journal-2734 1 67 qadiseya qadiseya PROPN american_scientific_journal-2734 1 68 , , PUNCT american_scientific_journal-2734 1 69 iraq iraq PROPN american_scientific_journal-2734 1 70 email email NOUN american_scientific_journal-2734 1 71 : : PUNCT american_scientific_journal-2734 1 72 fadhelfadhel222@yahoo.com fadhelfadhel222@yahoo.com X american_scientific_journal-2734 1 73 abstract abstract NOUN american_scientific_journal-2734 1 74 in in ADP american_scientific_journal-2734 1 75 this this DET american_scientific_journal-2734 1 76 paper paper NOUN american_scientific_journal-2734 1 77 , , PUNCT american_scientific_journal-2734 1 78 we we PRON american_scientific_journal-2734 1 79 propose propose VERB american_scientific_journal-2734 1 80 a a DET american_scientific_journal-2734 1 81 new new ADJ american_scientific_journal-2734 1 82 bayesian bayesian NOUN american_scientific_journal-2734 1 83 lasso lasso NOUN american_scientific_journal-2734 1 84 inference inference NOUN american_scientific_journal-2734 1 85 scheme scheme NOUN american_scientific_journal-2734 1 86 for for ADP american_scientific_journal-2734 1 87 variable variable ADJ american_scientific_journal-2734 1 88 selection selection NOUN american_scientific_journal-2734 1 89 in in ADP american_scientific_journal-2734 1 90 composite composite ADJ american_scientific_journal-2734 1 91 quantile quantile ADJ american_scientific_journal-2734 1 92 regression regression NOUN american_scientific_journal-2734 1 93 model model NOUN american_scientific_journal-2734 1 94 ( ( PUNCT american_scientific_journal-2734 1 95 c c PROPN american_scientific_journal-2734 1 96 quantile quantile NOUN american_scientific_journal-2734 1 97 reg reg NOUN american_scientific_journal-2734 1 98 ) ) PUNCT american_scientific_journal-2734 1 99 . . PUNCT american_scientific_journal-2734 2 1 the the DET american_scientific_journal-2734 2 2 suggested suggest VERB american_scientific_journal-2734 2 3 approach approach NOUN american_scientific_journal-2734 2 4 is be AUX american_scientific_journal-2734 2 5 to to PART american_scientific_journal-2734 2 6 construct construct VERB american_scientific_journal-2734 2 7 a a DET american_scientific_journal-2734 2 8 hierarchical hierarchical ADJ american_scientific_journal-2734 2 9 structure structure NOUN american_scientific_journal-2734 2 10 within within ADP american_scientific_journal-2734 2 11 the the DET american_scientific_journal-2734 2 12 gibbs gibbs PROPN american_scientific_journal-2734 2 13 sampling sample VERB american_scientific_journal-2734 2 14 under under ADP american_scientific_journal-2734 2 15 the the DET american_scientific_journal-2734 2 16 assumption assumption NOUN american_scientific_journal-2734 2 17 that that SCONJ american_scientific_journal-2734 2 18 the the DET american_scientific_journal-2734 2 19 residual residual ADJ american_scientific_journal-2734 2 20 term term NOUN american_scientific_journal-2734 2 21 comes come VERB american_scientific_journal-2734 2 22 from from ADP american_scientific_journal-2734 2 23 skew skew ADJ american_scientific_journal-2734 2 24 laplace laplace NOUN american_scientific_journal-2734 2 25 distribution distribution NOUN american_scientific_journal-2734 2 26 ( ( PUNCT american_scientific_journal-2734 2 27 asymmetric asymmetric ADJ american_scientific_journal-2734 2 28 laplace laplace NOUN american_scientific_journal-2734 2 29 distribution distribution NOUN american_scientific_journal-2734 2 30 ) ) PUNCT american_scientific_journal-2734 2 31 and and CCONJ american_scientific_journal-2734 2 32 assign assign NOUN american_scientific_journal-2734 2 33 scale scale NOUN american_scientific_journal-2734 2 34 mixture mixture NOUN american_scientific_journal-2734 2 35 uniform uniform NOUN american_scientific_journal-2734 2 36 ( ( PUNCT american_scientific_journal-2734 2 37 smu smu NOUN american_scientific_journal-2734 2 38 ) ) PUNCT american_scientific_journal-2734 2 39 as as ADP american_scientific_journal-2734 2 40 prior prior ADJ american_scientific_journal-2734 2 41 distributions distribution NOUN american_scientific_journal-2734 2 42 on on ADP american_scientific_journal-2734 2 43 the the DET american_scientific_journal-2734 2 44 coefficients coefficient NOUN american_scientific_journal-2734 2 45 of of ADP american_scientific_journal-2734 2 46 composite composite ADJ american_scientific_journal-2734 2 47 quantile quantile ADJ american_scientific_journal-2734 2 48 regression regression NOUN american_scientific_journal-2734 2 49 model model NOUN american_scientific_journal-2734 2 50 . . PUNCT american_scientific_journal-2734 3 1 our our PRON american_scientific_journal-2734 3 2 proposed propose VERB american_scientific_journal-2734 3 3 method method NOUN american_scientific_journal-2734 3 4 was be AUX american_scientific_journal-2734 3 5 compared compare VERB american_scientific_journal-2734 3 6 to to ADP american_scientific_journal-2734 3 7 some some DET american_scientific_journal-2734 3 8 other other ADJ american_scientific_journal-2734 3 9 existing exist VERB american_scientific_journal-2734 3 10 methods method NOUN american_scientific_journal-2734 3 11 by by ADP american_scientific_journal-2734 3 12 testing test VERB american_scientific_journal-2734 3 13 the the DET american_scientific_journal-2734 3 14 performance performance NOUN american_scientific_journal-2734 3 15 of of ADP american_scientific_journal-2734 3 16 these these DET american_scientific_journal-2734 3 17 methods method NOUN american_scientific_journal-2734 3 18 through through ADP american_scientific_journal-2734 3 19 simulation simulation NOUN american_scientific_journal-2734 3 20 studies study NOUN american_scientific_journal-2734 3 21 and and CCONJ american_scientific_journal-2734 3 22 real real ADJ american_scientific_journal-2734 3 23 data datum NOUN american_scientific_journal-2734 3 24 examples example NOUN american_scientific_journal-2734 3 25 . . PUNCT american_scientific_journal-2734 4 1 keywords keyword NOUN american_scientific_journal-2734 4 2 : : PUNCT american_scientific_journal-2734 4 3 new new ADJ american_scientific_journal-2734 4 4 bayesian bayesian NOUN american_scientific_journal-2734 4 5 lasso lasso NOUN american_scientific_journal-2734 4 6 ; ; PUNCT american_scientific_journal-2734 4 7 posterior posterior ADJ american_scientific_journal-2734 4 8 distributions distribution NOUN american_scientific_journal-2734 4 9 ; ; PUNCT american_scientific_journal-2734 4 10 composite composite ADJ american_scientific_journal-2734 4 11 quantile quantile ADJ american_scientific_journal-2734 4 12 regression regression NOUN american_scientific_journal-2734 4 13 ; ; PUNCT american_scientific_journal-2734 4 14 scale scale NOUN american_scientific_journal-2734 4 15 mixture mixture NOUN american_scientific_journal-2734 4 16 of of ADP american_scientific_journal-2734 4 17 uniform uniform NOUN american_scientific_journal-2734 4 18 . . PUNCT american_scientific_journal-2734 5 1 1 1 X american_scientific_journal-2734 5 2 . . X american_scientific_journal-2734 5 3 introduction introduction NOUN american_scientific_journal-2734 5 4 since since SCONJ american_scientific_journal-2734 5 5 the the DET american_scientific_journal-2734 5 6 seminal seminal ADJ american_scientific_journal-2734 5 7 pioneering pioneering ADJ american_scientific_journal-2734 5 8 work work NOUN american_scientific_journal-2734 5 9 of of ADP american_scientific_journal-2734 5 10 [ [ X american_scientific_journal-2734 5 11 11 11 NUM american_scientific_journal-2734 5 12 ] ] PUNCT american_scientific_journal-2734 5 13 , , PUNCT american_scientific_journal-2734 5 14 quantile quantile ADJ american_scientific_journal-2734 5 15 regression regression NOUN american_scientific_journal-2734 5 16 ( ( PUNCT american_scientific_journal-2734 5 17 q q NOUN american_scientific_journal-2734 5 18 reg reg NOUN american_scientific_journal-2734 5 19 ) ) PUNCT american_scientific_journal-2734 5 20 has have AUX american_scientific_journal-2734 5 21 become become VERB american_scientific_journal-2734 5 22 more more ADV american_scientific_journal-2734 5 23 and and CCONJ american_scientific_journal-2734 5 24 more more ADV american_scientific_journal-2734 5 25 popular popular ADJ american_scientific_journal-2734 5 26 in in ADP american_scientific_journal-2734 5 27 numerous numerous ADJ american_scientific_journal-2734 5 28 fields field NOUN american_scientific_journal-2734 5 29 of of ADP american_scientific_journal-2734 5 30 science science NOUN american_scientific_journal-2734 5 31 , , PUNCT american_scientific_journal-2734 5 32 for for ADP american_scientific_journal-2734 5 33 instance instance NOUN american_scientific_journal-2734 5 34 , , PUNCT american_scientific_journal-2734 5 35 the the DET american_scientific_journal-2734 5 36 microarray microarray NOUN american_scientific_journal-2734 5 37 study study NOUN american_scientific_journal-2734 5 38 [ [ X american_scientific_journal-2734 5 39 25 25 NUM american_scientific_journal-2734 5 40 ] ] PUNCT american_scientific_journal-2734 5 41 , , PUNCT american_scientific_journal-2734 5 42 agricultural agricultural ADJ american_scientific_journal-2734 5 43 economics economic NOUN american_scientific_journal-2734 5 44 [ [ X american_scientific_journal-2734 5 45 10 10 NUM american_scientific_journal-2734 5 46 ] ] PUNCT american_scientific_journal-2734 5 47 , , PUNCT american_scientific_journal-2734 5 48 ecological ecological ADJ american_scientific_journal-2734 5 49 studies study NOUN american_scientific_journal-2734 5 50 [ [ X american_scientific_journal-2734 5 51 8 8 NUM american_scientific_journal-2734 5 52 ] ] PUNCT american_scientific_journal-2734 5 53 , , PUNCT american_scientific_journal-2734 5 54 growth growth NOUN american_scientific_journal-2734 5 55 chart chart NOUN american_scientific_journal-2734 6 1 [ [ X american_scientific_journal-2734 6 2 26 26 NUM american_scientific_journal-2734 6 3 ] ] PUNCT american_scientific_journal-2734 6 4 , , PUNCT american_scientific_journal-2734 6 5 etc etc X american_scientific_journal-2734 6 6 . . X american_scientific_journal-2734 7 1 in in ADP american_scientific_journal-2734 7 2 addition addition NOUN american_scientific_journal-2734 7 3 , , PUNCT american_scientific_journal-2734 7 4 the the DET american_scientific_journal-2734 7 5 quantile quantile ADJ american_scientific_journal-2734 7 6 regression regression NOUN american_scientific_journal-2734 7 7 has have VERB american_scientific_journal-2734 7 8 good good ADJ american_scientific_journal-2734 7 9 properties property NOUN american_scientific_journal-2734 7 10 and and CCONJ american_scientific_journal-2734 7 11 it it PRON american_scientific_journal-2734 7 12 is be AUX american_scientific_journal-2734 7 13 a a DET american_scientific_journal-2734 7 14 suitable suitable ADJ american_scientific_journal-2734 7 15 regression regression NOUN american_scientific_journal-2734 7 16 model model NOUN american_scientific_journal-2734 7 17 to to ADP american_scientific_journal-2734 7 18 non non ADJ american_scientific_journal-2734 7 19 - - ADJ american_scientific_journal-2734 7 20 normal normal ADJ american_scientific_journal-2734 7 21 errors error NOUN american_scientific_journal-2734 7 22 , , PUNCT american_scientific_journal-2734 7 23 as as SCONJ american_scientific_journal-2734 7 24 quantile quantile ADJ american_scientific_journal-2734 7 25 regression regression NOUN american_scientific_journal-2734 7 26 is be AUX american_scientific_journal-2734 7 27 more more ADV american_scientific_journal-2734 7 28 robust robust ADJ american_scientific_journal-2734 7 29 compared compare VERB american_scientific_journal-2734 7 30 to to ADP american_scientific_journal-2734 7 31 ordinary ordinary ADJ american_scientific_journal-2734 7 32 least least ADJ american_scientific_journal-2734 7 33 - - PUNCT american_scientific_journal-2734 7 34 square square NOUN american_scientific_journal-2734 7 35 ( ( PUNCT american_scientific_journal-2734 7 36 ols ol NOUN american_scientific_journal-2734 7 37 ) ) PUNCT american_scientific_journal-2734 7 38 regression regression NOUN american_scientific_journal-2734 7 39 [ [ X american_scientific_journal-2734 7 40 12 12 NUM american_scientific_journal-2734 7 41 ] ] PUNCT american_scientific_journal-2734 7 42 . . PUNCT american_scientific_journal-2734 8 1 qreg qreg PROPN american_scientific_journal-2734 8 2 is be AUX american_scientific_journal-2734 8 3 more more ADV american_scientific_journal-2734 8 4 flexible flexible ADJ american_scientific_journal-2734 8 5 , , PUNCT american_scientific_journal-2734 8 6 thus thus ADV american_scientific_journal-2734 8 7 , , PUNCT american_scientific_journal-2734 8 8 it it PRON american_scientific_journal-2734 8 9 offers offer VERB american_scientific_journal-2734 8 10 an an DET american_scientific_journal-2734 8 11 extensive extensive ADJ american_scientific_journal-2734 8 12 coverage coverage NOUN american_scientific_journal-2734 8 13 of of ADP american_scientific_journal-2734 8 14 the the DET american_scientific_journal-2734 8 15 response response NOUN american_scientific_journal-2734 8 16 variable variable NOUN american_scientific_journal-2734 8 17 and and CCONJ american_scientific_journal-2734 8 18 its its PRON american_scientific_journal-2734 8 19 covariates covariate NOUN american_scientific_journal-2734 8 20 correlations correlation NOUN american_scientific_journal-2734 8 21 qreg qreg NOUN american_scientific_journal-2734 8 22 operates operate VERB american_scientific_journal-2734 8 23 without without ADP american_scientific_journal-2734 8 24 an an DET american_scientific_journal-2734 8 25 assumption assumption NOUN american_scientific_journal-2734 8 26 about about ADP american_scientific_journal-2734 8 27 the the DET american_scientific_journal-2734 8 28 random random ADJ american_scientific_journal-2734 8 29 error error NOUN american_scientific_journal-2734 8 30 , , PUNCT american_scientific_journal-2734 8 31 providing provide VERB american_scientific_journal-2734 8 32 greater great ADJ american_scientific_journal-2734 8 33 statistical statistical ADJ american_scientific_journal-2734 8 34 efficiency efficiency NOUN american_scientific_journal-2734 8 35 than than ADP american_scientific_journal-2734 8 36 traditional traditional ADJ american_scientific_journal-2734 8 37 regression regression NOUN american_scientific_journal-2734 8 38 models model NOUN american_scientific_journal-2734 8 39 when when SCONJ american_scientific_journal-2734 8 40 the the DET american_scientific_journal-2734 8 41 error error NOUN american_scientific_journal-2734 8 42 is be AUX american_scientific_journal-2734 8 43 non non ADJ american_scientific_journal-2734 8 44 - - ADJ american_scientific_journal-2734 8 45 normal normal ADJ american_scientific_journal-2734 8 46 . . PUNCT american_scientific_journal-2734 9 1 so so ADV american_scientific_journal-2734 9 2 far far ADV american_scientific_journal-2734 9 3 , , PUNCT american_scientific_journal-2734 9 4 qreg qreg NOUN american_scientific_journal-2734 9 5 has have AUX american_scientific_journal-2734 9 6 proven prove VERB american_scientific_journal-2734 9 7 to to PART american_scientific_journal-2734 9 8 be be AUX american_scientific_journal-2734 9 9 an an DET american_scientific_journal-2734 9 10 enhanced enhanced ADJ american_scientific_journal-2734 9 11 model model NOUN american_scientific_journal-2734 9 12 of of ADP american_scientific_journal-2734 9 13 the the DET american_scientific_journal-2734 9 14 conventional conventional ADJ american_scientific_journal-2734 9 15 regression regression NOUN american_scientific_journal-2734 9 16 model model NOUN american_scientific_journal-2734 9 17 . . PUNCT american_scientific_journal-2734 10 1 ----------------------------------------------------------------------- ----------------------------------------------------------------------- PUNCT american_scientific_journal-2734 11 1 * * PUNCT american_scientific_journal-2734 11 2 corresponding correspond VERB american_scientific_journal-2734 11 3 author author NOUN american_scientific_journal-2734 11 4 . . PUNCT american_scientific_journal-2734 12 1 http://asrjetsjournal.org/ http://asrjetsjournal.org/ PROPN american_scientific_journal-2734 12 2 american american PROPN american_scientific_journal-2734 12 3 scientific scientific PROPN american_scientific_journal-2734 12 4 research research NOUN american_scientific_journal-2734 12 5 journal journal NOUN american_scientific_journal-2734 12 6 for for ADP american_scientific_journal-2734 12 7 engineering engineering NOUN american_scientific_journal-2734 12 8 , , PUNCT american_scientific_journal-2734 12 9 technology technology NOUN american_scientific_journal-2734 12 10 , , PUNCT american_scientific_journal-2734 12 11 and and CCONJ american_scientific_journal-2734 12 12 sciences science NOUN american_scientific_journal-2734 12 13 ( ( PUNCT american_scientific_journal-2734 12 14 asrjets asrjet NOUN american_scientific_journal-2734 12 15 ) ) PUNCT american_scientific_journal-2734 12 16 ( ( PUNCT american_scientific_journal-2734 12 17 2017 2017 NUM american_scientific_journal-2734 12 18 ) ) PUNCT american_scientific_journal-2734 12 19 volume volume NOUN american_scientific_journal-2734 12 20 29 29 NUM american_scientific_journal-2734 12 21 , , PUNCT american_scientific_journal-2734 12 22 no no DET american_scientific_journal-2734 12 23 1 1 NUM american_scientific_journal-2734 12 24 , , PUNCT american_scientific_journal-2734 12 25 pp pp ADV american_scientific_journal-2734 12 26 138 138 NUM american_scientific_journal-2734 12 27 - - SYM american_scientific_journal-2734 12 28 152 152 NUM american_scientific_journal-2734 12 29 139 139 NUM american_scientific_journal-2734 12 30 the the DET american_scientific_journal-2734 12 31 linear linear PROPN american_scientific_journal-2734 12 32 quantile quantile ADJ american_scientific_journal-2734 12 33 regression regression NOUN american_scientific_journal-2734 12 34 model model NOUN american_scientific_journal-2734 12 35 assumes assume VERB american_scientific_journal-2734 12 36 that that SCONJ american_scientific_journal-2734 12 37 the the DET american_scientific_journal-2734 12 38 response response NOUN american_scientific_journal-2734 12 39 variable variable NOUN american_scientific_journal-2734 12 40 π’šπ’šπ’Šπ’Š π’šπ’šπ’Šπ’Š X american_scientific_journal-2734 12 41 written write VERB american_scientific_journal-2734 12 42 as as ADP american_scientific_journal-2734 12 43 𝑦𝑦𝑖𝑖 𝑦𝑦𝑖𝑖 NOUN american_scientific_journal-2734 12 44 = = SYM american_scientific_journal-2734 12 45 π›Όπ›Όπœƒπœƒ π›Όπ›Όπœƒπœƒ NOUN american_scientific_journal-2734 12 46 + + CCONJ american_scientific_journal-2734 12 47 π‘₯π‘₯π‘–π‘–π‘‡π‘‡π›½π›½πœƒπœƒ π‘₯π‘₯π‘–π‘–π‘‡π‘‡π›½π›½πœƒπœƒ X american_scientific_journal-2734 13 1 + + CCONJ american_scientific_journal-2734 13 2 𝑒𝑒𝑖𝑖 𝑒𝑒𝑖𝑖 X american_scientific_journal-2734 13 3 𝑖𝑖 𝑖𝑖 NOUN american_scientific_journal-2734 13 4 = = NOUN american_scientific_journal-2734 13 5 1,2 1,2 NUM american_scientific_journal-2734 13 6 , , PUNCT american_scientific_journal-2734 13 7 … … PUNCT american_scientific_journal-2734 13 8 , , PUNCT american_scientific_journal-2734 13 9 𝑛𝑛 𝑛𝑛 NOUN american_scientific_journal-2734 13 10 ( ( PUNCT american_scientific_journal-2734 13 11 1 1 X american_scientific_journal-2734 13 12 ) ) PUNCT american_scientific_journal-2734 13 13 where where SCONJ american_scientific_journal-2734 13 14 𝑦𝑦𝑖𝑖 𝑦𝑦𝑖𝑖 NOUN american_scientific_journal-2734 13 15 [ [ X american_scientific_journal-2734 13 16 𝑖𝑖 𝑖𝑖 X american_scientific_journal-2734 13 17 = = SYM american_scientific_journal-2734 13 18 1,2 1,2 NUM american_scientific_journal-2734 13 19 , , PUNCT american_scientific_journal-2734 13 20 … … PUNCT american_scientific_journal-2734 13 21 . . PUNCT american_scientific_journal-2734 13 22 .𝑛𝑛 .𝑛𝑛 PUNCT american_scientific_journal-2734 13 23 ] ] PUNCT american_scientific_journal-2734 13 24 is be AUX american_scientific_journal-2734 13 25 response response NOUN american_scientific_journal-2734 13 26 variable variable NOUN american_scientific_journal-2734 13 27 πœƒπœƒ πœƒπœƒ PROPN american_scientific_journal-2734 13 28 is be AUX american_scientific_journal-2734 13 29 level level NOUN american_scientific_journal-2734 13 30 quantile quantile NOUN american_scientific_journal-2734 13 31 , , PUNCT american_scientific_journal-2734 13 32 and and CCONJ american_scientific_journal-2734 13 33 πœƒπœƒ πœƒπœƒ PROPN american_scientific_journal-2734 13 34 belongs belong VERB american_scientific_journal-2734 13 35 to to ADP american_scientific_journal-2734 13 36 the the DET american_scientific_journal-2734 13 37 open open ADJ american_scientific_journal-2734 13 38 interval interval NOUN american_scientific_journal-2734 13 39 ( ( PUNCT american_scientific_journal-2734 13 40 0,1 0,1 NUM american_scientific_journal-2734 13 41 ) ) PUNCT american_scientific_journal-2734 13 42 . . PUNCT american_scientific_journal-2734 14 1 πœƒπœƒ πœƒπœƒ PROPN american_scientific_journal-2734 14 2 ∈ ∈ PROPN american_scientific_journal-2734 14 3 ( ( PUNCT american_scientific_journal-2734 14 4 0,1 0,1 NUM american_scientific_journal-2734 14 5 ) ) PUNCT american_scientific_journal-2734 14 6 π›Όπ›Όπœƒπœƒ π›Όπ›Όπœƒπœƒ NOUN american_scientific_journal-2734 14 7 is be AUX american_scientific_journal-2734 14 8 the the DET american_scientific_journal-2734 14 9 intercept intercept PROPN american_scientific_journal-2734 14 10 . . PUNCT american_scientific_journal-2734 15 1 π›½π›½πœƒπœƒ π›½π›½πœƒπœƒ PROPN american_scientific_journal-2734 15 2 is be AUX american_scientific_journal-2734 15 3 vector vector NOUN american_scientific_journal-2734 15 4 of of ADP american_scientific_journal-2734 15 5 unknown unknown ADJ american_scientific_journal-2734 15 6 parameters parameter NOUN american_scientific_journal-2734 15 7 π‘₯π‘₯𝑖𝑖𝑇𝑇 π‘₯π‘₯𝑖𝑖𝑇𝑇 ADJ american_scientific_journal-2734 15 8 is be AUX american_scientific_journal-2734 15 9 vector vector NOUN american_scientific_journal-2734 15 10 of of ADP american_scientific_journal-2734 15 11 covariates covariate NOUN american_scientific_journal-2734 15 12 𝑒𝑒𝑖𝑖 𝑒𝑒𝑖𝑖 VERB american_scientific_journal-2734 15 13 is be AUX american_scientific_journal-2734 15 14 the the DET american_scientific_journal-2734 15 15 random random ADJ american_scientific_journal-2734 15 16 error error NOUN american_scientific_journal-2734 15 17 term term NOUN american_scientific_journal-2734 15 18 with with ADP american_scientific_journal-2734 15 19 πœƒπœƒ-th πœƒπœƒ-th ADP american_scientific_journal-2734 15 20 quantile quantile NOUN american_scientific_journal-2734 15 21 equal equal ADJ american_scientific_journal-2734 15 22 to to ADP american_scientific_journal-2734 15 23 zero zero NUM american_scientific_journal-2734 15 24 the the DET american_scientific_journal-2734 15 25 parameters parameter NOUN american_scientific_journal-2734 15 26 π›Όπ›Όπœƒπœƒ π›Όπ›Όπœƒπœƒ PROPN american_scientific_journal-2734 15 27 and and CCONJ american_scientific_journal-2734 15 28 π›½π›½πœƒπœƒ π›½π›½πœƒπœƒ VERB american_scientific_journal-2734 15 29 to to ADP american_scientific_journal-2734 15 30 the the DET american_scientific_journal-2734 15 31 quantile quantile ADJ american_scientific_journal-2734 15 32 regression regression NOUN american_scientific_journal-2734 15 33 model model NOUN american_scientific_journal-2734 15 34 are be AUX american_scientific_journal-2734 15 35 estimated estimate VERB american_scientific_journal-2734 15 36 by by ADP american_scientific_journal-2734 15 37 solving solve VERB american_scientific_journal-2734 15 38 the the DET american_scientific_journal-2734 15 39 following follow VERB american_scientific_journal-2734 15 40 equation equation NOUN american_scientific_journal-2734 15 41 : : PUNCT american_scientific_journal-2734 15 42 οΏ½ οΏ½ PROPN american_scientific_journal-2734 15 43 πœŒπœŒπœƒπœƒ πœŒπœŒπœƒπœƒ ADV american_scientific_journal-2734 15 44 𝑛𝑛 𝑛𝑛 AUX american_scientific_journal-2734 15 45 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 15 46 π›Όπ›Όπœƒπœƒ,π›½π›½πœƒπœƒ π›Όπ›Όπœƒπœƒ,π›½π›½πœƒπœƒ ADJ american_scientific_journal-2734 15 47 π‘šπ‘šπ‘–π‘–π‘›π‘› π‘šπ‘šπ‘–π‘–π‘›π‘› ADJ american_scientific_journal-2734 15 48 ( ( PUNCT american_scientific_journal-2734 15 49 𝑦𝑦𝑖𝑖 𝑦𝑦𝑖𝑖 NOUN american_scientific_journal-2734 15 50 βˆ’ βˆ’ PROPN american_scientific_journal-2734 15 51 π›Όπ›Όπœƒπœƒ π›Όπ›Όπœƒπœƒ NOUN american_scientific_journal-2734 15 52 βˆ’ βˆ’ PROPN american_scientific_journal-2734 15 53 π‘₯π‘₯π‘–π‘–π‘‡π‘‡π›½π›½πœƒπœƒ π‘₯π‘₯π‘–π‘–π‘‡π‘‡π›½π›½πœƒπœƒ NOUN american_scientific_journal-2734 15 54 ) ) PUNCT american_scientific_journal-2734 15 55 ( ( PUNCT american_scientific_journal-2734 15 56 2 2 X american_scientific_journal-2734 15 57 ) ) PUNCT american_scientific_journal-2734 15 58 where where SCONJ american_scientific_journal-2734 15 59 πœŒπœŒπœƒπœƒ(𝑒𝑒 πœŒπœŒπœƒπœƒ(𝑒𝑒 NOUN american_scientific_journal-2734 15 60 ) ) PUNCT american_scientific_journal-2734 15 61 is be AUX american_scientific_journal-2734 15 62 the the DET american_scientific_journal-2734 15 63 check check NOUN american_scientific_journal-2734 15 64 ( ( PUNCT american_scientific_journal-2734 15 65 loss loss NOUN american_scientific_journal-2734 15 66 ) ) PUNCT american_scientific_journal-2734 15 67 function function NOUN american_scientific_journal-2734 15 68 πœŒπœŒπœƒπœƒ(𝑒𝑒 πœŒπœŒπœƒπœƒ(𝑒𝑒 NOUN american_scientific_journal-2734 15 69 ) ) PUNCT american_scientific_journal-2734 15 70 = = SYM american_scientific_journal-2734 15 71 οΏ½ οΏ½ PROPN american_scientific_journal-2734 15 72 πœƒπœƒπ‘’π‘’ πœƒπœƒπ‘’π‘’ NOUN american_scientific_journal-2734 15 73 𝑖𝑖𝑖𝑖 𝑖𝑖𝑖𝑖 ADV american_scientific_journal-2734 15 74 𝑒𝑒 𝑒𝑒 PROPN american_scientific_journal-2734 15 75 β‰₯ β‰₯ NOUN american_scientific_journal-2734 15 76 0 0 NUM american_scientific_journal-2734 16 1 βˆ’(1 βˆ’(1 NOUN american_scientific_journal-2734 16 2 βˆ’ βˆ’ PROPN american_scientific_journal-2734 16 3 πœƒπœƒ)𝑒𝑒 πœƒπœƒ)𝑒𝑒 PUNCT american_scientific_journal-2734 16 4 𝑖𝑖𝑖𝑖 𝑖𝑖𝑖𝑖 ADJ american_scientific_journal-2734 17 1 𝑒𝑒 𝑒𝑒 ADP american_scientific_journal-2734 17 2 < < X american_scientific_journal-2734 17 3 0 0 PUNCT american_scientific_journal-2734 18 1 ( ( PUNCT american_scientific_journal-2734 18 2 3 3 NUM american_scientific_journal-2734 18 3 ) ) PUNCT american_scientific_journal-2734 18 4 since since SCONJ american_scientific_journal-2734 18 5 equation equation NOUN american_scientific_journal-2734 18 6 ( ( PUNCT american_scientific_journal-2734 18 7 2 2 X american_scientific_journal-2734 18 8 ) ) PUNCT american_scientific_journal-2734 18 9 is be AUX american_scientific_journal-2734 18 10 not not PART american_scientific_journal-2734 18 11 differentiable differentiable ADJ american_scientific_journal-2734 18 12 at at ADP american_scientific_journal-2734 18 13 the the DET american_scientific_journal-2734 18 14 origin origin NOUN american_scientific_journal-2734 18 15 , , PUNCT american_scientific_journal-2734 18 16 there there PRON american_scientific_journal-2734 18 17 is be VERB american_scientific_journal-2734 18 18 no no DET american_scientific_journal-2734 18 19 exact exact ADJ american_scientific_journal-2734 18 20 form form NOUN american_scientific_journal-2734 18 21 of of ADP american_scientific_journal-2734 18 22 the the DET american_scientific_journal-2734 18 23 solution solution NOUN american_scientific_journal-2734 18 24 for for ADP american_scientific_journal-2734 18 25 equation equation NOUN american_scientific_journal-2734 18 26 ( ( PUNCT american_scientific_journal-2734 18 27 2 2 X american_scientific_journal-2734 18 28 ) ) PUNCT american_scientific_journal-2734 19 1 [ [ X american_scientific_journal-2734 19 2 15 15 NUM american_scientific_journal-2734 19 3 ] ] PUNCT american_scientific_journal-2734 19 4 . . PUNCT american_scientific_journal-2734 20 1 the the DET american_scientific_journal-2734 20 2 minimization minimization NOUN american_scientific_journal-2734 20 3 of of ADP american_scientific_journal-2734 20 4 equation equation NOUN american_scientific_journal-2734 20 5 ( ( PUNCT american_scientific_journal-2734 20 6 2 2 X american_scientific_journal-2734 20 7 ) ) PUNCT american_scientific_journal-2734 20 8 can can AUX american_scientific_journal-2734 20 9 be be AUX american_scientific_journal-2734 20 10 achieved achieve VERB american_scientific_journal-2734 20 11 by by ADP american_scientific_journal-2734 20 12 a a DET american_scientific_journal-2734 20 13 linear linear ADJ american_scientific_journal-2734 20 14 programming programming NOUN american_scientific_journal-2734 20 15 algorithm algorithm NOUN american_scientific_journal-2734 20 16 [ [ X american_scientific_journal-2734 20 17 13 13 NUM american_scientific_journal-2734 20 18 ] ] PUNCT american_scientific_journal-2734 20 19 . . PUNCT american_scientific_journal-2734 21 1 a a DET american_scientific_journal-2734 21 2 bayesian bayesian NOUN american_scientific_journal-2734 21 3 approach approach NOUN american_scientific_journal-2734 21 4 enables enable VERB american_scientific_journal-2734 21 5 the the DET american_scientific_journal-2734 21 6 exact exact ADJ american_scientific_journal-2734 21 7 estimation estimation NOUN american_scientific_journal-2734 21 8 of of ADP american_scientific_journal-2734 21 9 quantile quantile ADJ american_scientific_journal-2734 21 10 regression regression NOUN american_scientific_journal-2734 21 11 parameters parameter NOUN american_scientific_journal-2734 21 12 . . PUNCT american_scientific_journal-2734 22 1 one one NUM american_scientific_journal-2734 22 2 important important ADJ american_scientific_journal-2734 22 3 thing thing NOUN american_scientific_journal-2734 22 4 in in ADP american_scientific_journal-2734 22 5 building build VERB american_scientific_journal-2734 22 6 a a DET american_scientific_journal-2734 22 7 regression regression NOUN american_scientific_journal-2734 22 8 model model NOUN american_scientific_journal-2734 22 9 is be AUX american_scientific_journal-2734 22 10 the the DET american_scientific_journal-2734 22 11 selection selection NOUN american_scientific_journal-2734 22 12 of of ADP american_scientific_journal-2734 22 13 the the DET american_scientific_journal-2734 22 14 active active ADJ american_scientific_journal-2734 22 15 covariates covariate NOUN american_scientific_journal-2734 22 16 . . PUNCT american_scientific_journal-2734 23 1 the the DET american_scientific_journal-2734 23 2 selection selection NOUN american_scientific_journal-2734 23 3 process process NOUN american_scientific_journal-2734 23 4 aims aim VERB american_scientific_journal-2734 23 5 to to PART american_scientific_journal-2734 23 6 increase increase VERB american_scientific_journal-2734 23 7 the the DET american_scientific_journal-2734 23 8 prediction prediction NOUN american_scientific_journal-2734 23 9 accuracy accuracy NOUN american_scientific_journal-2734 23 10 and and CCONJ american_scientific_journal-2734 23 11 to to PART american_scientific_journal-2734 23 12 get get VERB american_scientific_journal-2734 23 13 high high ADJ american_scientific_journal-2734 23 14 interpretation interpretation NOUN american_scientific_journal-2734 23 15 [ [ X american_scientific_journal-2734 23 16 4 4 NUM american_scientific_journal-2734 23 17 ] ] PUNCT american_scientific_journal-2734 23 18 . . PUNCT american_scientific_journal-2734 24 1 recently recently ADV american_scientific_journal-2734 24 2 , , PUNCT american_scientific_journal-2734 24 3 there there PRON american_scientific_journal-2734 24 4 has have AUX american_scientific_journal-2734 24 5 been be AUX american_scientific_journal-2734 24 6 considerable considerable ADJ american_scientific_journal-2734 24 7 attention attention NOUN american_scientific_journal-2734 24 8 on on ADP american_scientific_journal-2734 24 9 regression regression NOUN american_scientific_journal-2734 24 10 models model NOUN american_scientific_journal-2734 24 11 that that PRON american_scientific_journal-2734 24 12 include include VERB american_scientific_journal-2734 24 13 all all DET american_scientific_journal-2734 24 14 covariates covariate NOUN american_scientific_journal-2734 24 15 and and CCONJ american_scientific_journal-2734 24 16 use use VERB american_scientific_journal-2734 24 17 informative informative ADJ american_scientific_journal-2734 24 18 priors prior NOUN american_scientific_journal-2734 24 19 to to PART american_scientific_journal-2734 24 20 shrink shrink VERB american_scientific_journal-2734 24 21 inactive inactive ADJ american_scientific_journal-2734 24 22 regression regression NOUN american_scientific_journal-2734 24 23 coefficients coefficient NOUN american_scientific_journal-2734 24 24 toward toward ADP american_scientific_journal-2734 24 25 zero zero NUM american_scientific_journal-2734 24 26 exactly exactly ADV american_scientific_journal-2734 24 27 , , PUNCT american_scientific_journal-2734 24 28 for for ADP american_scientific_journal-2734 24 29 instance instance NOUN american_scientific_journal-2734 24 30 , , PUNCT american_scientific_journal-2734 24 31 the the DET american_scientific_journal-2734 24 32 lasso lasso NOUN american_scientific_journal-2734 24 33 method method NOUN american_scientific_journal-2734 24 34 [ [ X american_scientific_journal-2734 24 35 23 23 NUM american_scientific_journal-2734 24 36 ] ] PUNCT american_scientific_journal-2734 24 37 , , PUNCT american_scientific_journal-2734 24 38 the the DET american_scientific_journal-2734 24 39 adaptive adaptive ADJ american_scientific_journal-2734 24 40 lasso lasso NOUN american_scientific_journal-2734 24 41 , , PUNCT american_scientific_journal-2734 24 42 proposed propose VERB american_scientific_journal-2734 24 43 by by ADP american_scientific_journal-2734 24 44 [ [ X american_scientific_journal-2734 24 45 26 26 NUM american_scientific_journal-2734 24 46 ] ] PUNCT american_scientific_journal-2734 24 47 , , PUNCT american_scientific_journal-2734 24 48 dantzig dantzig NOUN american_scientific_journal-2734 24 49 selector selector NOUN american_scientific_journal-2734 24 50 [ [ X american_scientific_journal-2734 24 51 7 7 NUM american_scientific_journal-2734 24 52 ] ] PUNCT american_scientific_journal-2734 24 53 , , PUNCT american_scientific_journal-2734 24 54 lasso lasso NOUN american_scientific_journal-2734 24 55 qreg qreg VERB american_scientific_journal-2734 25 1 [ [ X american_scientific_journal-2734 25 2 17 17 NUM american_scientific_journal-2734 25 3 ] ] PUNCT american_scientific_journal-2734 25 4 and and CCONJ american_scientific_journal-2734 25 5 adaptive adaptive ADJ american_scientific_journal-2734 25 6 lasso lasso NOUN american_scientific_journal-2734 25 7 qreg qreg NOUN american_scientific_journal-2734 26 1 [ [ X american_scientific_journal-2734 26 2 28 28 NUM american_scientific_journal-2734 26 3 ] ] PUNCT american_scientific_journal-2734 26 4 . . PUNCT american_scientific_journal-2734 27 1 a a DET american_scientific_journal-2734 27 2 comprehensive comprehensive ADJ american_scientific_journal-2734 27 3 account account NOUN american_scientific_journal-2734 27 4 of of ADP american_scientific_journal-2734 27 5 these these DET american_scientific_journal-2734 27 6 and and CCONJ american_scientific_journal-2734 27 7 other other ADJ american_scientific_journal-2734 27 8 recent recent ADJ american_scientific_journal-2734 27 9 methods method NOUN american_scientific_journal-2734 27 10 can can AUX american_scientific_journal-2734 27 11 be be AUX american_scientific_journal-2734 27 12 found find VERB american_scientific_journal-2734 27 13 in in ADP american_scientific_journal-2734 27 14 the the DET american_scientific_journal-2734 27 15 work work NOUN american_scientific_journal-2734 27 16 of of ADP american_scientific_journal-2734 27 17 [ [ X american_scientific_journal-2734 27 18 24 24 NUM american_scientific_journal-2734 27 19 ] ] PUNCT american_scientific_journal-2734 27 20 . . PUNCT american_scientific_journal-2734 28 1 similarly similarly ADV american_scientific_journal-2734 28 2 , , PUNCT american_scientific_journal-2734 28 3 from from ADP american_scientific_journal-2734 28 4 a a DET american_scientific_journal-2734 28 5 bayesian bayesian NOUN american_scientific_journal-2734 28 6 framework framework NOUN american_scientific_journal-2734 28 7 , , PUNCT american_scientific_journal-2734 28 8 [ [ X american_scientific_journal-2734 28 9 20 20 NUM american_scientific_journal-2734 28 10 ] ] PUNCT american_scientific_journal-2734 28 11 proposed propose VERB american_scientific_journal-2734 28 12 bayesian bayesian NOUN american_scientific_journal-2734 28 13 lasso lasso NOUN american_scientific_journal-2734 28 14 for for ADP american_scientific_journal-2734 28 15 traditional traditional ADJ american_scientific_journal-2734 28 16 linear linear NOUN american_scientific_journal-2734 28 17 regression regression NOUN american_scientific_journal-2734 28 18 models model NOUN american_scientific_journal-2734 28 19 by by ADP american_scientific_journal-2734 28 20 specifying specify VERB american_scientific_journal-2734 28 21 scale scale NOUN american_scientific_journal-2734 28 22 mixture mixture NOUN american_scientific_journal-2734 28 23 of of ADP american_scientific_journal-2734 28 24 normal normal ADJ american_scientific_journal-2734 28 25 ( ( PUNCT american_scientific_journal-2734 28 26 smn smn PROPN american_scientific_journal-2734 28 27 ) ) PUNCT american_scientific_journal-2734 28 28 prior prior ADJ american_scientific_journal-2734 28 29 distributions distribution NOUN american_scientific_journal-2734 28 30 . . PUNCT american_scientific_journal-2734 29 1 reference reference NOUN american_scientific_journal-2734 29 2 [ [ X american_scientific_journal-2734 29 3 21 21 NUM american_scientific_journal-2734 29 4 ] ] PUNCT american_scientific_journal-2734 29 5 proposed propose VERB american_scientific_journal-2734 29 6 bayesian bayesian NOUN american_scientific_journal-2734 29 7 adaptive adaptive ADJ american_scientific_journal-2734 29 8 lasso lasso NOUN american_scientific_journal-2734 29 9 by by ADP american_scientific_journal-2734 29 10 using use VERB american_scientific_journal-2734 29 11 different different ADJ american_scientific_journal-2734 29 12 shrinkage shrinkage NOUN american_scientific_journal-2734 29 13 parameters parameter NOUN american_scientific_journal-2734 29 14 . . PUNCT american_scientific_journal-2734 30 1 in in ADP american_scientific_journal-2734 30 2 later later ADJ american_scientific_journal-2734 30 3 approaches approach NOUN american_scientific_journal-2734 30 4 , , PUNCT american_scientific_journal-2734 30 5 reference reference NOUN american_scientific_journal-2734 30 6 [ [ X american_scientific_journal-2734 30 7 18 18 NUM american_scientific_journal-2734 30 8 ] ] PUNCT american_scientific_journal-2734 30 9 suggested suggest VERB american_scientific_journal-2734 30 10 bayesian bayesian NOUN american_scientific_journal-2734 30 11 lasso lasso NOUN american_scientific_journal-2734 30 12 qreg qreg NOUN american_scientific_journal-2734 30 13 and and CCONJ american_scientific_journal-2734 31 1 [ [ X american_scientific_journal-2734 31 2 4 4 NUM american_scientific_journal-2734 31 3 ] ] PUNCT american_scientific_journal-2734 31 4 proposed propose VERB american_scientific_journal-2734 31 5 bayesian bayesian NOUN american_scientific_journal-2734 31 6 adaptive adaptive ADJ american_scientific_journal-2734 31 7 lasso lasso NOUN american_scientific_journal-2734 31 8 qreg qreg NOUN american_scientific_journal-2734 31 9 . . PUNCT american_scientific_journal-2734 32 1 some some DET american_scientific_journal-2734 32 2 further further ADJ american_scientific_journal-2734 32 3 extensions extension NOUN american_scientific_journal-2734 32 4 of of ADP american_scientific_journal-2734 32 5 the the DET american_scientific_journal-2734 32 6 lasso lasso NOUN american_scientific_journal-2734 32 7 qreg qreg NOUN american_scientific_journal-2734 32 8 models model NOUN american_scientific_journal-2734 32 9 have have AUX american_scientific_journal-2734 32 10 also also ADV american_scientific_journal-2734 32 11 been be AUX american_scientific_journal-2734 32 12 suggested suggest VERB american_scientific_journal-2734 32 13 by by ADP american_scientific_journal-2734 32 14 [ [ X american_scientific_journal-2734 32 15 5,1,27,29,2 5,1,27,29,2 PROPN american_scientific_journal-2734 32 16 ] ] PUNCT american_scientific_journal-2734 32 17 , , PUNCT american_scientific_journal-2734 32 18 among among ADP american_scientific_journal-2734 32 19 others other NOUN american_scientific_journal-2734 32 20 . . PUNCT american_scientific_journal-2734 33 1 all all DET american_scientific_journal-2734 33 2 aforementioned aforementioned ADJ american_scientific_journal-2734 33 3 methods method NOUN american_scientific_journal-2734 33 4 were be AUX american_scientific_journal-2734 33 5 focused focus VERB american_scientific_journal-2734 33 6 on on ADP american_scientific_journal-2734 33 7 a a DET american_scientific_journal-2734 33 8 single single ADJ american_scientific_journal-2734 33 9 quantile quantile ADJ american_scientific_journal-2734 33 10 level level NOUN american_scientific_journal-2734 33 11 and and CCONJ american_scientific_journal-2734 33 12 scale scale NOUN american_scientific_journal-2734 33 13 mixture mixture NOUN american_scientific_journal-2734 33 14 of of ADP american_scientific_journal-2734 33 15 normal normal ADJ american_scientific_journal-2734 33 16 ( ( PUNCT american_scientific_journal-2734 33 17 smn smn NOUN american_scientific_journal-2734 33 18 ) ) PUNCT american_scientific_journal-2734 33 19 priors prior NOUN american_scientific_journal-2734 33 20 . . PUNCT american_scientific_journal-2734 34 1 [ [ X american_scientific_journal-2734 34 2 30,6 30,6 X american_scientific_journal-2734 34 3 ] ] PUNCT american_scientific_journal-2734 34 4 . . PUNCT american_scientific_journal-2734 34 5 ; ; PUNCT american_scientific_journal-2734 34 6 proposed propose VERB american_scientific_journal-2734 34 7 methods method NOUN american_scientific_journal-2734 34 8 that that PRON american_scientific_journal-2734 34 9 focused focus VERB american_scientific_journal-2734 34 10 on on ADP american_scientific_journal-2734 34 11 composite composite ADJ american_scientific_journal-2734 34 12 quantile quantile ADJ american_scientific_journal-2734 34 13 regression regression NOUN american_scientific_journal-2734 34 14 model model NOUN american_scientific_journal-2734 34 15 . . PUNCT american_scientific_journal-2734 35 1 [ [ X american_scientific_journal-2734 35 2 9 9 NUM american_scientific_journal-2734 35 3 ] ] PUNCT american_scientific_journal-2734 35 4 proposed propose VERB american_scientific_journal-2734 35 5 a a DET american_scientific_journal-2734 35 6 bayesian bayesian NOUN american_scientific_journal-2734 35 7 approach approach NOUN american_scientific_journal-2734 35 8 of of ADP american_scientific_journal-2734 35 9 composite composite ADJ american_scientific_journal-2734 35 10 quantile quantile ADJ american_scientific_journal-2734 35 11 regression regression NOUN american_scientific_journal-2734 35 12 by by ADP american_scientific_journal-2734 35 13 using use VERB american_scientific_journal-2734 35 14 scale scale NOUN american_scientific_journal-2734 35 15 mixture mixture NOUN american_scientific_journal-2734 35 16 of of ADP american_scientific_journal-2734 35 17 normal normal ADJ american_scientific_journal-2734 35 18 ( ( PUNCT american_scientific_journal-2734 35 19 smn smn NOUN american_scientific_journal-2734 35 20 ) ) PUNCT american_scientific_journal-2734 35 21 priors prior NOUN american_scientific_journal-2734 35 22 . . PUNCT american_scientific_journal-2734 36 1 in in ADP american_scientific_journal-2734 36 2 this this DET american_scientific_journal-2734 36 3 paper paper NOUN american_scientific_journal-2734 36 4 our our PRON american_scientific_journal-2734 36 5 proposed propose VERB american_scientific_journal-2734 36 6 method method NOUN american_scientific_journal-2734 36 7 develops develop VERB american_scientific_journal-2734 36 8 a a DET american_scientific_journal-2734 36 9 american american ADJ american_scientific_journal-2734 36 10 scientific scientific ADJ american_scientific_journal-2734 36 11 research research NOUN american_scientific_journal-2734 36 12 journal journal NOUN american_scientific_journal-2734 36 13 for for ADP american_scientific_journal-2734 36 14 engineering engineering NOUN american_scientific_journal-2734 36 15 , , PUNCT american_scientific_journal-2734 36 16 technology technology NOUN american_scientific_journal-2734 36 17 , , PUNCT american_scientific_journal-2734 36 18 and and CCONJ american_scientific_journal-2734 36 19 sciences science NOUN american_scientific_journal-2734 36 20 ( ( PUNCT american_scientific_journal-2734 36 21 asrjets asrjet NOUN american_scientific_journal-2734 36 22 ) ) PUNCT american_scientific_journal-2734 36 23 ( ( PUNCT american_scientific_journal-2734 36 24 2017 2017 NUM american_scientific_journal-2734 36 25 ) ) PUNCT american_scientific_journal-2734 36 26 volume volume NOUN american_scientific_journal-2734 36 27 29 29 NUM american_scientific_journal-2734 36 28 , , PUNCT american_scientific_journal-2734 36 29 no no DET american_scientific_journal-2734 36 30 1 1 NUM american_scientific_journal-2734 36 31 , , PUNCT american_scientific_journal-2734 36 32 pp pp ADV american_scientific_journal-2734 36 33 138 138 NUM american_scientific_journal-2734 36 34 - - SYM american_scientific_journal-2734 36 35 152 152 NUM american_scientific_journal-2734 36 36 140 140 NUM american_scientific_journal-2734 36 37 bayesian bayesian NOUN american_scientific_journal-2734 36 38 approach approach NOUN american_scientific_journal-2734 36 39 for for ADP american_scientific_journal-2734 36 40 regularization regularization NOUN american_scientific_journal-2734 36 41 in in ADP american_scientific_journal-2734 36 42 linear linear ADJ american_scientific_journal-2734 36 43 composite composite ADJ american_scientific_journal-2734 36 44 qreg qreg NOUN american_scientific_journal-2734 36 45 by by ADP american_scientific_journal-2734 36 46 assigning assign VERB american_scientific_journal-2734 36 47 the the DET american_scientific_journal-2734 36 48 scale scale NOUN american_scientific_journal-2734 36 49 mixture mixture NOUN american_scientific_journal-2734 36 50 of of ADP american_scientific_journal-2734 36 51 uniform uniform NOUN american_scientific_journal-2734 36 52 ( ( PUNCT american_scientific_journal-2734 36 53 smu smu NOUN american_scientific_journal-2734 36 54 ) ) PUNCT american_scientific_journal-2734 36 55 formulation formulation NOUN american_scientific_journal-2734 36 56 of of ADP american_scientific_journal-2734 36 57 the the DET american_scientific_journal-2734 36 58 laplace laplace NOUN american_scientific_journal-2734 36 59 density density NOUN american_scientific_journal-2734 36 60 . . PUNCT american_scientific_journal-2734 37 1 this this DET american_scientific_journal-2734 37 2 approach approach NOUN american_scientific_journal-2734 37 3 was be AUX american_scientific_journal-2734 37 4 provided provide VERB american_scientific_journal-2734 37 5 by by ADP american_scientific_journal-2734 37 6 [ [ X american_scientific_journal-2734 37 7 19 19 NUM american_scientific_journal-2734 37 8 ] ] PUNCT american_scientific_journal-2734 37 9 . . PUNCT american_scientific_journal-2734 38 1 in in ADP american_scientific_journal-2734 38 2 other other ADJ american_scientific_journal-2734 38 3 word word NOUN american_scientific_journal-2734 38 4 , , PUNCT american_scientific_journal-2734 38 5 in in ADP american_scientific_journal-2734 38 6 this this DET american_scientific_journal-2734 38 7 paper paper NOUN american_scientific_journal-2734 38 8 , , PUNCT american_scientific_journal-2734 38 9 we we PRON american_scientific_journal-2734 38 10 propose propose VERB american_scientific_journal-2734 38 11 a a DET american_scientific_journal-2734 38 12 new new ADJ american_scientific_journal-2734 38 13 formulation formulation NOUN american_scientific_journal-2734 38 14 for for ADP american_scientific_journal-2734 38 15 bayesian bayesian NOUN american_scientific_journal-2734 38 16 lasso lasso NOUN american_scientific_journal-2734 38 17 composite composite ADJ american_scientific_journal-2734 38 18 qreg qreg NOUN american_scientific_journal-2734 38 19 by by ADP american_scientific_journal-2734 38 20 using use VERB american_scientific_journal-2734 38 21 the the DET american_scientific_journal-2734 38 22 scale scale NOUN american_scientific_journal-2734 38 23 mixture mixture NOUN american_scientific_journal-2734 38 24 of of ADP american_scientific_journal-2734 38 25 uniform uniform NOUN american_scientific_journal-2734 38 26 ( ( PUNCT american_scientific_journal-2734 38 27 smu smu NOUN american_scientific_journal-2734 38 28 ) ) PUNCT american_scientific_journal-2734 38 29 formulation formulation NOUN american_scientific_journal-2734 38 30 . . PUNCT american_scientific_journal-2734 39 1 the the DET american_scientific_journal-2734 39 2 following follow VERB american_scientific_journal-2734 39 3 sections section NOUN american_scientific_journal-2734 39 4 of of ADP american_scientific_journal-2734 39 5 this this DET american_scientific_journal-2734 39 6 paper paper NOUN american_scientific_journal-2734 39 7 are be AUX american_scientific_journal-2734 39 8 arranged arrange VERB american_scientific_journal-2734 39 9 in in ADP american_scientific_journal-2734 39 10 the the DET american_scientific_journal-2734 39 11 following follow VERB american_scientific_journal-2734 39 12 order order NOUN american_scientific_journal-2734 39 13 : : PUNCT american_scientific_journal-2734 39 14 section section NOUN american_scientific_journal-2734 39 15 2 2 NUM american_scientific_journal-2734 39 16 presents present VERB american_scientific_journal-2734 39 17 new new ADJ american_scientific_journal-2734 39 18 bayesian bayesian NOUN american_scientific_journal-2734 39 19 lasso lasso NOUN american_scientific_journal-2734 39 20 composite composite ADJ american_scientific_journal-2734 39 21 qreg qreg NOUN american_scientific_journal-2734 39 22 . . PUNCT american_scientific_journal-2734 40 1 in in ADP american_scientific_journal-2734 40 2 section section NOUN american_scientific_journal-2734 40 3 3 3 NUM american_scientific_journal-2734 40 4 , , PUNCT american_scientific_journal-2734 40 5 we we PRON american_scientific_journal-2734 40 6 perform perform VERB american_scientific_journal-2734 40 7 simulation simulation NOUN american_scientific_journal-2734 40 8 studies study NOUN american_scientific_journal-2734 40 9 . . PUNCT american_scientific_journal-2734 41 1 in in ADP american_scientific_journal-2734 41 2 section section NOUN american_scientific_journal-2734 41 3 4 4 NUM american_scientific_journal-2734 41 4 , , PUNCT american_scientific_journal-2734 41 5 we we PRON american_scientific_journal-2734 41 6 show show VERB american_scientific_journal-2734 41 7 a a DET american_scientific_journal-2734 41 8 real real ADJ american_scientific_journal-2734 41 9 data datum NOUN american_scientific_journal-2734 41 10 example example NOUN american_scientific_journal-2734 41 11 , , PUNCT american_scientific_journal-2734 41 12 and and CCONJ american_scientific_journal-2734 41 13 the the DET american_scientific_journal-2734 41 14 conclusions conclusion NOUN american_scientific_journal-2734 41 15 and and CCONJ american_scientific_journal-2734 41 16 recommendations recommendation NOUN american_scientific_journal-2734 41 17 are be AUX american_scientific_journal-2734 41 18 included include VERB american_scientific_journal-2734 41 19 in in ADP american_scientific_journal-2734 41 20 section section NOUN american_scientific_journal-2734 41 21 5 5 NUM american_scientific_journal-2734 41 22 . . NOUN american_scientific_journal-2734 42 1 2 2 NUM american_scientific_journal-2734 42 2 . . X american_scientific_journal-2734 42 3 new new ADJ american_scientific_journal-2734 42 4 bayesian bayesian NOUN american_scientific_journal-2734 42 5 lasso lasso NOUN american_scientific_journal-2734 42 6 composite composite NOUN american_scientific_journal-2734 42 7 qreg qreg VERB american_scientific_journal-2734 42 8 2.1 2.1 NUM american_scientific_journal-2734 42 9 . . PUNCT american_scientific_journal-2734 43 1 bayesian bayesian NOUN american_scientific_journal-2734 43 2 composite composite NOUN american_scientific_journal-2734 43 3 qreg qreg VERB american_scientific_journal-2734 43 4 the the DET american_scientific_journal-2734 43 5 quantile quantile ADJ american_scientific_journal-2734 43 6 regression regression NOUN american_scientific_journal-2734 43 7 model model NOUN american_scientific_journal-2734 43 8 is be AUX american_scientific_journal-2734 43 9 focused focus VERB american_scientific_journal-2734 43 10 on on ADP american_scientific_journal-2734 43 11 modeling model VERB american_scientific_journal-2734 43 12 the the DET american_scientific_journal-2734 43 13 relationship relationship NOUN american_scientific_journal-2734 43 14 between between ADP american_scientific_journal-2734 43 15 the the DET american_scientific_journal-2734 43 16 response response NOUN american_scientific_journal-2734 43 17 variable variable NOUN american_scientific_journal-2734 43 18 and and CCONJ american_scientific_journal-2734 43 19 a a DET american_scientific_journal-2734 43 20 set set NOUN american_scientific_journal-2734 43 21 of of ADP american_scientific_journal-2734 43 22 covariates covariate NOUN american_scientific_journal-2734 43 23 by by ADP american_scientific_journal-2734 43 24 single single ADJ american_scientific_journal-2734 43 25 quantile quantile ADJ american_scientific_journal-2734 43 26 level level NOUN american_scientific_journal-2734 43 27 . . PUNCT american_scientific_journal-2734 44 1 from from ADP american_scientific_journal-2734 44 2 known know VERB american_scientific_journal-2734 44 3 , , PUNCT american_scientific_journal-2734 44 4 there there PRON american_scientific_journal-2734 44 5 are be VERB american_scientific_journal-2734 44 6 infinite infinite ADJ american_scientific_journal-2734 44 7 quantile quantile ADJ american_scientific_journal-2734 44 8 regression regression NOUN american_scientific_journal-2734 44 9 lines line NOUN american_scientific_journal-2734 44 10 within within ADP american_scientific_journal-2734 44 11 πœƒπœƒ πœƒπœƒ PROPN american_scientific_journal-2734 44 12 ∈ ∈ PROPN american_scientific_journal-2734 44 13 ( ( PUNCT american_scientific_journal-2734 44 14 0,1 0,1 NOUN american_scientific_journal-2734 44 15 ) ) PUNCT american_scientific_journal-2734 44 16 or or CCONJ american_scientific_journal-2734 44 17 0 0 NUM american_scientific_journal-2734 44 18 < < X american_scientific_journal-2734 44 19 πœƒπœƒ1,πœƒπœƒ2 πœƒπœƒ1,πœƒπœƒ2 X american_scientific_journal-2734 44 20 , , PUNCT american_scientific_journal-2734 44 21 … … PUNCT american_scientific_journal-2734 44 22 . . PUNCT american_scientific_journal-2734 44 23 .πœƒπœƒπ»π» .πœƒπœƒπ»π» PUNCT american_scientific_journal-2734 45 1 < < X american_scientific_journal-2734 45 2 1 1 NUM american_scientific_journal-2734 45 3 where where SCONJ american_scientific_journal-2734 45 4 h h NOUN american_scientific_journal-2734 45 5 represents represent VERB american_scientific_journal-2734 45 6 different different ADJ american_scientific_journal-2734 45 7 quantiles quantile NOUN american_scientific_journal-2734 45 8 . . PUNCT american_scientific_journal-2734 46 1 but but CCONJ american_scientific_journal-2734 46 2 choosing choose VERB american_scientific_journal-2734 46 3 the the DET american_scientific_journal-2734 46 4 informative informative ADJ american_scientific_journal-2734 46 5 quantile quantile ADJ american_scientific_journal-2734 46 6 line line NOUN american_scientific_journal-2734 46 7 is be AUX american_scientific_journal-2734 46 8 challenging challenge VERB american_scientific_journal-2734 46 9 and and CCONJ american_scientific_journal-2734 46 10 to to PART american_scientific_journal-2734 46 11 overcome overcome VERB american_scientific_journal-2734 46 12 this this DET american_scientific_journal-2734 46 13 problem problem NOUN american_scientific_journal-2734 46 14 , , PUNCT american_scientific_journal-2734 46 15 the the DET american_scientific_journal-2734 46 16 information information NOUN american_scientific_journal-2734 46 17 is be AUX american_scientific_journal-2734 46 18 used use VERB american_scientific_journal-2734 46 19 over over ADP american_scientific_journal-2734 46 20 all all DET american_scientific_journal-2734 46 21 quantile quantile ADJ american_scientific_journal-2734 46 22 lines line NOUN american_scientific_journal-2734 46 23 . . PUNCT american_scientific_journal-2734 47 1 [ [ X american_scientific_journal-2734 47 2 30 30 NUM american_scientific_journal-2734 47 3 ] ] PUNCT american_scientific_journal-2734 47 4 introduced introduce VERB american_scientific_journal-2734 47 5 the the DET american_scientific_journal-2734 47 6 mathematical mathematical ADJ american_scientific_journal-2734 47 7 formula formula NOUN american_scientific_journal-2734 47 8 to to ADP american_scientific_journal-2734 47 9 composite composite ADJ american_scientific_journal-2734 47 10 quantile quantile ADJ american_scientific_journal-2734 47 11 regression regression NOUN american_scientific_journal-2734 47 12 model model NOUN american_scientific_journal-2734 47 13 , , PUNCT american_scientific_journal-2734 47 14 as as SCONJ american_scientific_journal-2734 47 15 follows follow VERB american_scientific_journal-2734 47 16 : : PUNCT american_scientific_journal-2734 47 17 π›Όπ›Όπœƒπœƒ1 π›Όπ›Όπœƒπœƒ1 NOUN american_scientific_journal-2734 47 18 , , PUNCT american_scientific_journal-2734 47 19 π›Όπ›Όπœƒπœƒ2 π›Όπ›Όπœƒπœƒ2 X american_scientific_journal-2734 47 20 , , PUNCT american_scientific_journal-2734 47 21 … … PUNCT american_scientific_journal-2734 47 22 … … PUNCT american_scientific_journal-2734 47 23 , , PUNCT american_scientific_journal-2734 47 24 π›Όπ›Όπœƒπœƒβ„Ž π›Όπ›Όπœƒπœƒβ„Ž NOUN american_scientific_journal-2734 47 25 , , PUNCT american_scientific_journal-2734 47 26 𝛽𝛽 𝛽𝛽 ADP american_scientific_journal-2734 47 27 = = SYM american_scientific_journal-2734 47 28 οΏ½ οΏ½ PROPN american_scientific_journal-2734 47 29 οΏ½ οΏ½ PROPN american_scientific_journal-2734 47 30 πœŒπœŒπœƒπœƒβ„Ž(𝑦𝑦𝑖𝑖 πœŒπœŒπœƒπœƒβ„Ž(𝑦𝑦𝑖𝑖 PROPN american_scientific_journal-2734 47 31 βˆ’ βˆ’ PROPN american_scientific_journal-2734 47 32 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž VERB american_scientific_journal-2734 47 33 𝑛𝑛 𝑛𝑛 ADP american_scientific_journal-2734 47 34 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 47 35 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-2734 47 36 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 47 37 π›Όπ›Όπœƒπœƒ1 π›Όπ›Όπœƒπœƒ1 NOUN american_scientific_journal-2734 47 38 , , PUNCT american_scientific_journal-2734 47 39 π›Όπ›Όπœƒπœƒ2 π›Όπ›Όπœƒπœƒ2 X american_scientific_journal-2734 47 40 , , PUNCT american_scientific_journal-2734 47 41 … … PUNCT american_scientific_journal-2734 47 42 … … PUNCT american_scientific_journal-2734 47 43 , , PUNCT american_scientific_journal-2734 47 44 π›Όπ›Όπœƒπœƒβ„Ž π›Όπ›Όπœƒπœƒβ„Ž NOUN american_scientific_journal-2734 48 1 𝑀𝑀𝑖𝑖𝑛𝑛 𝑀𝑀𝑖𝑖𝑛𝑛 PROPN american_scientific_journal-2734 48 2 βˆ’ βˆ’ PROPN american_scientific_journal-2734 48 3 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 NOUN american_scientific_journal-2734 48 4 ) ) PUNCT american_scientific_journal-2734 48 5 ( ( PUNCT american_scientific_journal-2734 48 6 4 4 X american_scientific_journal-2734 48 7 ) ) PUNCT american_scientific_journal-2734 48 8 where where SCONJ american_scientific_journal-2734 48 9 β„Ž β„Ž X american_scientific_journal-2734 48 10 = = SYM american_scientific_journal-2734 48 11 1,2 1,2 NUM american_scientific_journal-2734 48 12 , , PUNCT american_scientific_journal-2734 48 13 … … PUNCT american_scientific_journal-2734 48 14 . . PUNCT american_scientific_journal-2734 49 1 , , PUNCT american_scientific_journal-2734 49 2 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-2734 49 3 π‘Žπ‘Žπ‘›π‘›π‘Žπ‘Ž π‘Žπ‘Žπ‘›π‘›π‘Žπ‘Ž NOUN american_scientific_journal-2734 49 4 𝑖𝑖 𝑖𝑖 X american_scientific_journal-2734 49 5 = = SYM american_scientific_journal-2734 49 6 1,2 1,2 NUM american_scientific_journal-2734 49 7 , , PUNCT american_scientific_journal-2734 49 8 … … PUNCT american_scientific_journal-2734 49 9 … … PUNCT american_scientific_journal-2734 49 10 , , PUNCT american_scientific_journal-2734 49 11 𝑛𝑛 𝑛𝑛 NOUN american_scientific_journal-2734 49 12 hence hence ADV american_scientific_journal-2734 49 13 , , PUNCT american_scientific_journal-2734 49 14 the the DET american_scientific_journal-2734 49 15 check(loss check(loss PROPN american_scientific_journal-2734 49 16 ) ) PUNCT american_scientific_journal-2734 49 17 function function NOUN american_scientific_journal-2734 49 18 of of ADP american_scientific_journal-2734 49 19 composite composite ADJ american_scientific_journal-2734 49 20 different different ADJ american_scientific_journal-2734 49 21 quantiles quantile NOUN american_scientific_journal-2734 49 22 takes take VERB american_scientific_journal-2734 49 23 the the DET american_scientific_journal-2734 49 24 following follow VERB american_scientific_journal-2734 49 25 form form NOUN american_scientific_journal-2734 49 26 : : PUNCT american_scientific_journal-2734 49 27 πœŒπœŒπœƒπœƒβ„Ž(𝑒𝑒 πœŒπœŒπœƒπœƒβ„Ž(𝑒𝑒 NOUN american_scientific_journal-2734 49 28 ) ) PUNCT american_scientific_journal-2734 49 29 = = SYM american_scientific_journal-2734 49 30 οΏ½ οΏ½ PROPN american_scientific_journal-2734 49 31 πœƒπœƒβ„Žπ‘’π‘’ πœƒπœƒβ„Žπ‘’π‘’ VERB american_scientific_journal-2734 49 32 𝑖𝑖𝑖𝑖 𝑖𝑖𝑖𝑖 ADV american_scientific_journal-2734 49 33 𝑒𝑒 𝑒𝑒 PROPN american_scientific_journal-2734 49 34 β‰₯ β‰₯ NOUN american_scientific_journal-2734 49 35 0 0 NUM american_scientific_journal-2734 50 1 βˆ’(1 βˆ’(1 NOUN american_scientific_journal-2734 50 2 βˆ’ βˆ’ PROPN american_scientific_journal-2734 50 3 πœƒπœƒβ„Ž)𝑒𝑒 πœƒπœƒβ„Ž)𝑒𝑒 VERB american_scientific_journal-2734 50 4 𝑖𝑖𝑖𝑖 𝑖𝑖𝑖𝑖 ADV american_scientific_journal-2734 50 5 𝑒𝑒 𝑒𝑒 ADP american_scientific_journal-2734 50 6 < < X american_scientific_journal-2734 50 7 0 0 PUNCT american_scientific_journal-2734 51 1 ( ( PUNCT american_scientific_journal-2734 51 2 5 5 NUM american_scientific_journal-2734 51 3 ) ) PUNCT american_scientific_journal-2734 51 4 the the DET american_scientific_journal-2734 51 5 equation equation NOUN american_scientific_journal-2734 51 6 ( ( PUNCT american_scientific_journal-2734 51 7 4 4 X american_scientific_journal-2734 51 8 ) ) PUNCT american_scientific_journal-2734 51 9 is be AUX american_scientific_journal-2734 51 10 also also ADV american_scientific_journal-2734 51 11 not not PART american_scientific_journal-2734 51 12 differentiable differentiable ADJ american_scientific_journal-2734 51 13 at at ADP american_scientific_journal-2734 51 14 0 0 NUM american_scientific_journal-2734 51 15 , , PUNCT american_scientific_journal-2734 51 16 and and CCONJ american_scientific_journal-2734 51 17 the the DET american_scientific_journal-2734 51 18 minimization minimization NOUN american_scientific_journal-2734 51 19 of of ADP american_scientific_journal-2734 51 20 ( ( PUNCT american_scientific_journal-2734 51 21 4 4 NUM american_scientific_journal-2734 51 22 ) ) PUNCT american_scientific_journal-2734 51 23 can can AUX american_scientific_journal-2734 51 24 be be AUX american_scientific_journal-2734 51 25 achieved achieve VERB american_scientific_journal-2734 51 26 by by ADP american_scientific_journal-2734 51 27 a a DET american_scientific_journal-2734 51 28 linear linear ADJ american_scientific_journal-2734 51 29 programming programming NOUN american_scientific_journal-2734 51 30 algorithm algorithm NOUN american_scientific_journal-2734 51 31 [ [ X american_scientific_journal-2734 51 32 14 14 NUM american_scientific_journal-2734 51 33 ] ] PUNCT american_scientific_journal-2734 51 34 . . PUNCT american_scientific_journal-2734 52 1 it it PRON american_scientific_journal-2734 52 2 is be AUX american_scientific_journal-2734 52 3 possible possible ADJ american_scientific_journal-2734 52 4 to to PART american_scientific_journal-2734 52 5 estimate estimate VERB american_scientific_journal-2734 52 6 the the DET american_scientific_journal-2734 52 7 parameters parameter NOUN american_scientific_journal-2734 52 8 of of ADP american_scientific_journal-2734 52 9 composite composite ADJ american_scientific_journal-2734 52 10 quantile quantile ADJ american_scientific_journal-2734 52 11 regression regression NOUN american_scientific_journal-2734 52 12 by by ADP american_scientific_journal-2734 52 13 using use VERB american_scientific_journal-2734 52 14 a a DET american_scientific_journal-2734 52 15 bayesian bayesian NOUN american_scientific_journal-2734 52 16 approach approach NOUN american_scientific_journal-2734 52 17 through through ADP american_scientific_journal-2734 52 18 a a DET american_scientific_journal-2734 52 19 new new ADJ american_scientific_journal-2734 52 20 gibbs gibbs PROPN american_scientific_journal-2734 52 21 sampler sampler NOUN american_scientific_journal-2734 52 22 and and CCONJ american_scientific_journal-2734 52 23 this this PRON american_scientific_journal-2734 52 24 is be AUX american_scientific_journal-2734 52 25 our our PRON american_scientific_journal-2734 52 26 proposed propose VERB american_scientific_journal-2734 52 27 method method NOUN american_scientific_journal-2734 52 28 to to ADP american_scientific_journal-2734 52 29 posterior posterior ADJ american_scientific_journal-2734 52 30 distributions distribution NOUN american_scientific_journal-2734 52 31 . . PUNCT american_scientific_journal-2734 53 1 [ [ X american_scientific_journal-2734 53 2 28 28 NUM american_scientific_journal-2734 53 3 ] ] PUNCT american_scientific_journal-2734 53 4 noted note VERB american_scientific_journal-2734 53 5 that that SCONJ american_scientific_journal-2734 53 6 the the DET american_scientific_journal-2734 53 7 random random ADJ american_scientific_journal-2734 53 8 error error NOUN american_scientific_journal-2734 53 9 of of ADP american_scientific_journal-2734 53 10 quantile quantile NOUN american_scientific_journal-2734 53 11 is be AUX american_scientific_journal-2734 53 12 close close ADJ american_scientific_journal-2734 53 13 to to ADP american_scientific_journal-2734 53 14 asymmetric asymmetric ADJ american_scientific_journal-2734 53 15 laplace laplace NOUN american_scientific_journal-2734 53 16 distribution distribution NOUN american_scientific_journal-2734 53 17 ( ( PUNCT american_scientific_journal-2734 53 18 ald ald PROPN american_scientific_journal-2734 53 19 ) ) PUNCT american_scientific_journal-2734 53 20 . . PUNCT american_scientific_journal-2734 54 1 𝑖𝑖𝐴𝐴𝐴𝐴𝐴𝐴(𝑒𝑒|πœƒπœƒβ„Ž 𝑖𝑖𝐴𝐴𝐴𝐴𝐴𝐴(𝑒𝑒|πœƒπœƒβ„Ž X american_scientific_journal-2734 54 2 ) ) PUNCT american_scientific_journal-2734 55 1 = = SYM american_scientific_journal-2734 55 2 πœƒπœƒβ„Ž(1 πœƒπœƒβ„Ž(1 NOUN american_scientific_journal-2734 55 3 βˆ’ βˆ’ NUM american_scientific_journal-2734 55 4 πœƒπœƒβ„Ž πœƒπœƒβ„Ž NOUN american_scientific_journal-2734 55 5 ) ) PUNCT american_scientific_journal-2734 55 6 𝜎𝜎 𝜎𝜎 ADP american_scientific_journal-2734 55 7 exp exp NOUN american_scientific_journal-2734 55 8 οΏ½ οΏ½ PROPN american_scientific_journal-2734 55 9 πœŽπœŽβˆ’1πœŒπœŒπœƒπœƒβ„Ž(𝑒𝑒 πœŽπœŽβˆ’1πœŒπœŒπœƒπœƒβ„Ž(𝑒𝑒 NOUN american_scientific_journal-2734 55 10 ) ) PUNCT american_scientific_journal-2734 55 11 οΏ½ οΏ½ PROPN american_scientific_journal-2734 55 12 βˆ’βˆž βˆ’βˆž ADP american_scientific_journal-2734 55 13 < < X american_scientific_journal-2734 55 14 π‘₯π‘₯ π‘₯π‘₯ ADP american_scientific_journal-2734 55 15 < < X american_scientific_journal-2734 55 16 ∞ ∞ PROPN american_scientific_journal-2734 55 17 ( ( PUNCT american_scientific_journal-2734 55 18 6 6 NUM american_scientific_journal-2734 55 19 ) ) PUNCT american_scientific_journal-2734 55 20 the the DET american_scientific_journal-2734 55 21 function function NOUN american_scientific_journal-2734 55 22 of of ADP american_scientific_journal-2734 55 23 asymmetric asymmetric ADJ american_scientific_journal-2734 55 24 laplace laplace NOUN american_scientific_journal-2734 55 25 distribution distribution NOUN american_scientific_journal-2734 55 26 with with ADP american_scientific_journal-2734 55 27 a a DET american_scientific_journal-2734 55 28 scale scale NOUN american_scientific_journal-2734 55 29 parameter parameter NOUN american_scientific_journal-2734 55 30 equal equal ADJ american_scientific_journal-2734 55 31 to to ADP american_scientific_journal-2734 55 32 1 1 NUM american_scientific_journal-2734 55 33 is be AUX american_scientific_journal-2734 55 34 american american ADJ american_scientific_journal-2734 55 35 scientific scientific ADJ american_scientific_journal-2734 55 36 research research NOUN american_scientific_journal-2734 55 37 journal journal NOUN american_scientific_journal-2734 55 38 for for ADP american_scientific_journal-2734 55 39 engineering engineering NOUN american_scientific_journal-2734 55 40 , , PUNCT american_scientific_journal-2734 55 41 technology technology NOUN american_scientific_journal-2734 55 42 , , PUNCT american_scientific_journal-2734 55 43 and and CCONJ american_scientific_journal-2734 55 44 sciences science NOUN american_scientific_journal-2734 55 45 ( ( PUNCT american_scientific_journal-2734 55 46 asrjets asrjet NOUN american_scientific_journal-2734 55 47 ) ) PUNCT american_scientific_journal-2734 55 48 ( ( PUNCT american_scientific_journal-2734 55 49 2017 2017 NUM american_scientific_journal-2734 55 50 ) ) PUNCT american_scientific_journal-2734 55 51 volume volume NOUN american_scientific_journal-2734 55 52 29 29 NUM american_scientific_journal-2734 55 53 , , PUNCT american_scientific_journal-2734 55 54 no no DET american_scientific_journal-2734 55 55 1 1 NUM american_scientific_journal-2734 55 56 , , PUNCT american_scientific_journal-2734 55 57 pp pp ADV american_scientific_journal-2734 55 58 138 138 NUM american_scientific_journal-2734 55 59 - - SYM american_scientific_journal-2734 55 60 152 152 NUM american_scientific_journal-2734 55 61 141 141 NUM american_scientific_journal-2734 55 62 𝑖𝑖𝐴𝐴𝐴𝐴𝐴𝐴(𝑒𝑒|𝜎𝜎,πœƒπœƒβ„Ž 𝑖𝑖𝐴𝐴𝐴𝐴𝐴𝐴(𝑒𝑒|𝜎𝜎,πœƒπœƒβ„Ž NUM american_scientific_journal-2734 55 63 ) ) PUNCT american_scientific_journal-2734 56 1 = = SYM american_scientific_journal-2734 56 2 πœƒπœƒβ„Ž(1 πœƒπœƒβ„Ž(1 NOUN american_scientific_journal-2734 56 3 βˆ’ βˆ’ NUM american_scientific_journal-2734 56 4 πœƒπœƒβ„Ž πœƒπœƒβ„Ž NOUN american_scientific_journal-2734 56 5 ) ) PUNCT american_scientific_journal-2734 56 6 exp exp NOUN american_scientific_journal-2734 56 7 οΏ½ οΏ½ PROPN american_scientific_journal-2734 56 8 πœŒπœŒπœƒπœƒβ„Ž(𝑒𝑒 πœŒπœŒπœƒπœƒβ„Ž(𝑒𝑒 NOUN american_scientific_journal-2734 56 9 ) ) PUNCT american_scientific_journal-2734 56 10 οΏ½ οΏ½ PROPN american_scientific_journal-2734 56 11 βˆ’βˆž βˆ’βˆž ADP american_scientific_journal-2734 56 12 < < X american_scientific_journal-2734 56 13 π‘₯π‘₯ π‘₯π‘₯ ADP american_scientific_journal-2734 56 14 < < X american_scientific_journal-2734 56 15 ∞ ∞ PROPN american_scientific_journal-2734 56 16 ( ( PUNCT american_scientific_journal-2734 56 17 7 7 NUM american_scientific_journal-2734 56 18 ) ) PUNCT american_scientific_journal-2734 56 19 with with ADP american_scientific_journal-2734 56 20 mean mean NOUN american_scientific_journal-2734 56 21 𝐸𝐸(𝑒𝑒 𝐸𝐸(𝑒𝑒 PROPN american_scientific_journal-2734 56 22 ) ) PUNCT american_scientific_journal-2734 57 1 = = PUNCT american_scientific_journal-2734 57 2 ( ( PUNCT american_scientific_journal-2734 57 3 1βˆ’2πœƒπœƒβ„Ž 1βˆ’2πœƒπœƒβ„Ž NUM american_scientific_journal-2734 57 4 ) ) PUNCT american_scientific_journal-2734 57 5 πœƒπœƒβ„Ž(1βˆ’πœƒπœƒβ„Ž πœƒπœƒβ„Ž(1βˆ’πœƒπœƒβ„Ž PROPN american_scientific_journal-2734 57 6 ) ) PUNCT american_scientific_journal-2734 57 7 and and CCONJ american_scientific_journal-2734 57 8 the the DET american_scientific_journal-2734 57 9 variance variance NOUN american_scientific_journal-2734 57 10 π‘£π‘£π‘Žπ‘Žπ‘£π‘£ π‘£π‘£π‘Žπ‘Žπ‘£π‘£ NOUN american_scientific_journal-2734 57 11 ( ( PUNCT american_scientific_journal-2734 57 12 𝑒𝑒 𝑒𝑒 X american_scientific_journal-2734 57 13 ) ) PUNCT american_scientific_journal-2734 57 14 = = SYM american_scientific_journal-2734 57 15 οΏ½ οΏ½ PROPN american_scientific_journal-2734 57 16 1βˆ’2πœƒπœƒβ„Ž 1βˆ’2πœƒπœƒβ„Ž NUM american_scientific_journal-2734 57 17 βˆ’2πœƒπœƒβ„Ž βˆ’2πœƒπœƒβ„Ž ADP american_scientific_journal-2734 57 18 2 2 NUM american_scientific_journal-2734 57 19 οΏ½ οΏ½ PROPN american_scientific_journal-2734 57 20 πœƒπœƒβ„Ž(1βˆ’πœƒπœƒβ„Ž πœƒπœƒβ„Ž(1βˆ’πœƒπœƒβ„Ž PROPN american_scientific_journal-2734 57 21 ) ) PUNCT american_scientific_journal-2734 57 22 the the DET american_scientific_journal-2734 57 23 joint joint ADJ american_scientific_journal-2734 57 24 distribution distribution NOUN american_scientific_journal-2734 57 25 of of ADP american_scientific_journal-2734 57 26 response response NOUN american_scientific_journal-2734 57 27 variable variable NOUN american_scientific_journal-2734 57 28 = = SYM american_scientific_journal-2734 57 29 ( ( PUNCT american_scientific_journal-2734 57 30 𝑦𝑦1,𝑦𝑦2 𝑦𝑦1,𝑦𝑦2 PROPN american_scientific_journal-2734 57 31 , , PUNCT american_scientific_journal-2734 57 32 … … PUNCT american_scientific_journal-2734 57 33 … … PUNCT american_scientific_journal-2734 57 34 , , PUNCT american_scientific_journal-2734 57 35 𝑦𝑦𝑛𝑛)𝑇𝑇 𝑦𝑦𝑛𝑛)𝑇𝑇 PROPN american_scientific_journal-2734 57 36 , , PUNCT american_scientific_journal-2734 57 37 given give VERB american_scientific_journal-2734 57 38 𝑋𝑋 𝑋𝑋 PROPN american_scientific_journal-2734 57 39 = = SYM american_scientific_journal-2734 57 40 ( ( PUNCT american_scientific_journal-2734 57 41 π‘₯π‘₯1 π‘₯π‘₯1 PROPN american_scientific_journal-2734 57 42 , , PUNCT american_scientific_journal-2734 57 43 π‘₯π‘₯2 π‘₯π‘₯2 ADV american_scientific_journal-2734 57 44 , , PUNCT american_scientific_journal-2734 57 45 … … PUNCT american_scientific_journal-2734 57 46 . . PUNCT american_scientific_journal-2734 58 1 , , PUNCT american_scientific_journal-2734 58 2 π‘₯π‘₯𝑛𝑛)𝑇𝑇 π‘₯π‘₯𝑛𝑛)𝑇𝑇 PROPN american_scientific_journal-2734 58 3 , , PUNCT american_scientific_journal-2734 58 4 𝛼𝛼 𝛼𝛼 ADP american_scientific_journal-2734 58 5 = = SYM american_scientific_journal-2734 58 6 οΏ½ οΏ½ NOUN american_scientific_journal-2734 58 7 π›Όπ›Όπœƒπœƒ1 π›Όπ›Όπœƒπœƒ1 NOUN american_scientific_journal-2734 58 8 , , PUNCT american_scientific_journal-2734 58 9 π›Όπ›Όπœƒπœƒ2 π›Όπ›Όπœƒπœƒ2 X american_scientific_journal-2734 58 10 , , PUNCT american_scientific_journal-2734 58 11 … … PUNCT american_scientific_journal-2734 58 12 … … PUNCT american_scientific_journal-2734 58 13 , , PUNCT american_scientific_journal-2734 58 14 π›Όπ›Όπœƒπœƒβ„Ž π›Όπ›Όπœƒπœƒβ„Ž PROPN american_scientific_journal-2734 58 15 οΏ½ οΏ½ PROPN american_scientific_journal-2734 58 16 𝑇𝑇 𝑇𝑇 PROPN american_scientific_journal-2734 58 17 and and CCONJ american_scientific_journal-2734 58 18 𝛽𝛽 𝛽𝛽 AUX american_scientific_journal-2734 58 19 = = X american_scientific_journal-2734 58 20 ( ( PUNCT american_scientific_journal-2734 58 21 𝛽𝛽1,𝛽𝛽2 𝛽𝛽1,𝛽𝛽2 PROPN american_scientific_journal-2734 58 22 , , PUNCT american_scientific_journal-2734 58 23 … … PUNCT american_scientific_journal-2734 58 24 . . PUNCT american_scientific_journal-2734 59 1 .π›½π›½π‘˜π‘˜)𝑇𝑇 .π›½π›½π‘˜π‘˜)𝑇𝑇 VERB american_scientific_journal-2734 59 2 for for ADP american_scientific_journal-2734 59 3 composite composite ADJ american_scientific_journal-2734 59 4 quantile quantile ADJ american_scientific_journal-2734 59 5 regression regression NOUN american_scientific_journal-2734 59 6 is be AUX american_scientific_journal-2734 59 7 : : PUNCT american_scientific_journal-2734 59 8 𝑖𝑖𝐴𝐴𝐴𝐴𝐴𝐴(𝑦𝑦|𝑋𝑋,𝛼𝛼,𝛽𝛽 𝑖𝑖𝐴𝐴𝐴𝐴𝐴𝐴(𝑦𝑦|𝑋𝑋,𝛼𝛼,𝛽𝛽 SYM american_scientific_journal-2734 59 9 ) ) PUNCT american_scientific_journal-2734 59 10 = = SYM american_scientific_journal-2734 59 11 οΏ½ οΏ½ PROPN american_scientific_journal-2734 59 12 πœƒπœƒβ„Žπ‘›π‘›(1 πœƒπœƒβ„Žπ‘›π‘›(1 NOUN american_scientific_journal-2734 59 13 βˆ’ βˆ’ NOUN american_scientific_journal-2734 59 14 πœƒπœƒβ„Žπ‘›π‘› πœƒπœƒβ„Žπ‘›π‘› NOUN american_scientific_journal-2734 59 15 ) ) PUNCT american_scientific_journal-2734 59 16 exp exp NOUN american_scientific_journal-2734 59 17 οΏ½ οΏ½ PROPN american_scientific_journal-2734 59 18 οΏ½ οΏ½ PROPN american_scientific_journal-2734 60 1 πœŒπœŒπœƒπœƒβ„Ž(𝑦𝑦 πœŒπœŒπœƒπœƒβ„Ž(𝑦𝑦 PART american_scientific_journal-2734 60 2 βˆ’ βˆ’ PROPN american_scientific_journal-2734 60 3 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž VERB american_scientific_journal-2734 60 4 βˆ’ βˆ’ PROPN american_scientific_journal-2734 60 5 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 NOUN american_scientific_journal-2734 60 6 ) ) PUNCT american_scientific_journal-2734 60 7 𝑛𝑛 𝑛𝑛 VERB american_scientific_journal-2734 60 8 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 60 9 οΏ½ οΏ½ PROPN american_scientific_journal-2734 60 10 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-2734 60 11 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 60 12 ( ( PUNCT american_scientific_journal-2734 60 13 8) 8) NUM american_scientific_journal-2734 60 14 hence hence ADV american_scientific_journal-2734 60 15 , , PUNCT american_scientific_journal-2734 60 16 maximizing maximize VERB american_scientific_journal-2734 60 17 the the DET american_scientific_journal-2734 60 18 likelihood likelihood NOUN american_scientific_journal-2734 60 19 function function NOUN american_scientific_journal-2734 60 20 of of ADP american_scientific_journal-2734 60 21 response response NOUN american_scientific_journal-2734 60 22 variable variable NOUN american_scientific_journal-2734 60 23 𝑦𝑦 𝑦𝑦 ADP american_scientific_journal-2734 60 24 in in ADP american_scientific_journal-2734 60 25 equation equation NOUN american_scientific_journal-2734 60 26 ( ( PUNCT american_scientific_journal-2734 60 27 8) 8) NUM american_scientific_journal-2734 60 28 is be AUX american_scientific_journal-2734 60 29 equivalent equivalent ADJ american_scientific_journal-2734 60 30 to to ADP american_scientific_journal-2734 60 31 minimizing minimize VERB american_scientific_journal-2734 60 32 equation equation NOUN american_scientific_journal-2734 60 33 ( ( PUNCT american_scientific_journal-2734 60 34 4 4 NUM american_scientific_journal-2734 60 35 ) ) PUNCT american_scientific_journal-2734 60 36 . . PUNCT american_scientific_journal-2734 61 1 it it PRON american_scientific_journal-2734 61 2 is be AUX american_scientific_journal-2734 61 3 very very ADV american_scientific_journal-2734 61 4 difficult difficult ADJ american_scientific_journal-2734 61 5 to to PART american_scientific_journal-2734 61 6 use use VERB american_scientific_journal-2734 61 7 the the DET american_scientific_journal-2734 61 8 likelihood likelihood NOUN american_scientific_journal-2734 61 9 function function NOUN american_scientific_journal-2734 61 10 of of ADP american_scientific_journal-2734 61 11 response response NOUN american_scientific_journal-2734 61 12 variable variable ADJ american_scientific_journal-2734 61 13 𝑦𝑦 𝑦𝑦 VERB american_scientific_journal-2734 61 14 directly directly ADV american_scientific_journal-2734 61 15 , , PUNCT american_scientific_journal-2734 61 16 because because SCONJ american_scientific_journal-2734 61 17 of of ADP american_scientific_journal-2734 61 18 the the DET american_scientific_journal-2734 61 19 mixture mixture NOUN american_scientific_journal-2734 61 20 of of ADP american_scientific_journal-2734 61 21 h h NOUN american_scientific_journal-2734 61 22 components component NOUN american_scientific_journal-2734 61 23 . . PUNCT american_scientific_journal-2734 62 1 following follow VERB american_scientific_journal-2734 62 2 [ [ X american_scientific_journal-2734 62 3 9 9 NUM american_scientific_journal-2734 62 4 ] ] PUNCT american_scientific_journal-2734 62 5 , , PUNCT american_scientific_journal-2734 62 6 we we PRON american_scientific_journal-2734 62 7 employ employ VERB american_scientific_journal-2734 62 8 a a DET american_scientific_journal-2734 62 9 cluster cluster NOUN american_scientific_journal-2734 62 10 assignment assignment NOUN american_scientific_journal-2734 62 11 matrix matrix NOUN american_scientific_journal-2734 62 12 𝐢𝐢 𝐢𝐢 NOUN american_scientific_journal-2734 62 13 with with ADP american_scientific_journal-2734 62 14 its its PRON american_scientific_journal-2734 62 15 ( ( PUNCT american_scientific_journal-2734 62 16 𝑖𝑖 𝑖𝑖 NOUN american_scientific_journal-2734 62 17 , , PUNCT american_scientific_journal-2734 62 18 β„Ž)π‘‘π‘‘β„Ž β„Ž)π‘‘π‘‘β„Ž PROPN american_scientific_journal-2734 62 19 element element NOUN american_scientific_journal-2734 62 20 , , PUNCT american_scientific_journal-2734 62 21 πΆπΆπ‘–π‘–β„Ž πΆπΆπ‘–π‘–β„Ž PROPN american_scientific_journal-2734 62 22 taking take VERB american_scientific_journal-2734 62 23 two two NUM american_scientific_journal-2734 62 24 values value NOUN american_scientific_journal-2734 62 25 : : PUNCT american_scientific_journal-2734 62 26 one one NUM american_scientific_journal-2734 62 27 ( ( PUNCT american_scientific_journal-2734 62 28 πΆπΆπ‘–π‘–β„Ž πΆπΆπ‘–π‘–β„Ž PROPN american_scientific_journal-2734 62 29 = = SYM american_scientific_journal-2734 62 30 1 1 X american_scientific_journal-2734 62 31 ) ) PUNCT american_scientific_journal-2734 62 32 if if SCONJ american_scientific_journal-2734 62 33 π‘–π‘–π‘–π‘–β„Ž π‘–π‘–π‘–π‘–β„Ž PROPN american_scientific_journal-2734 62 34 subject subject NOUN american_scientific_journal-2734 62 35 belongs belong VERB american_scientific_journal-2734 62 36 to to ADP american_scientific_journal-2734 62 37 the the DET american_scientific_journal-2734 62 38 β„Ž β„Ž PROPN american_scientific_journal-2734 62 39 π‘–π‘–β„Ž π‘–π‘–β„Ž NOUN american_scientific_journal-2734 62 40 cluster cluster NOUN american_scientific_journal-2734 62 41 , , PUNCT american_scientific_journal-2734 62 42 or or CCONJ american_scientific_journal-2734 62 43 zero zero NUM american_scientific_journal-2734 62 44 ( ( PUNCT american_scientific_journal-2734 62 45 πΆπΆπ‘–π‘–β„Ž πΆπΆπ‘–π‘–β„Ž PROPN american_scientific_journal-2734 62 46 = = SYM american_scientific_journal-2734 62 47 0 0 NUM american_scientific_journal-2734 62 48 ) ) PUNCT american_scientific_journal-2734 62 49 if if SCONJ american_scientific_journal-2734 62 50 the the DET american_scientific_journal-2734 62 51 element element NOUN american_scientific_journal-2734 62 52 πΆπΆπ‘–π‘–β„Ž πΆπΆπ‘–π‘–β„Ž PROPN american_scientific_journal-2734 62 53 is be AUX american_scientific_journal-2734 62 54 treated treat VERB american_scientific_journal-2734 62 55 like like ADP american_scientific_journal-2734 62 56 missing miss VERB american_scientific_journal-2734 62 57 value value NOUN american_scientific_journal-2734 62 58 . . PUNCT american_scientific_journal-2734 63 1 therefore therefore ADV american_scientific_journal-2734 63 2 , , PUNCT american_scientific_journal-2734 63 3 our our PRON american_scientific_journal-2734 63 4 likelihood likelihood NOUN american_scientific_journal-2734 63 5 takes take VERB american_scientific_journal-2734 63 6 the the DET american_scientific_journal-2734 63 7 following follow VERB american_scientific_journal-2734 63 8 form form NOUN american_scientific_journal-2734 63 9 : : PUNCT american_scientific_journal-2734 63 10 𝑖𝑖𝐴𝐴𝐴𝐴𝐴𝐴(𝑦𝑦|𝑋𝑋,𝛼𝛼,𝛽𝛽 𝑖𝑖𝐴𝐴𝐴𝐴𝐴𝐴(𝑦𝑦|𝑋𝑋,𝛼𝛼,𝛽𝛽 SYM american_scientific_journal-2734 63 11 ) ) PUNCT american_scientific_journal-2734 63 12 = = SYM american_scientific_journal-2734 63 13 οΏ½ οΏ½ PROPN american_scientific_journal-2734 63 14 οΏ½ οΏ½ PROPN american_scientific_journal-2734 63 15 οΏ½ οΏ½ PROPN american_scientific_journal-2734 63 16 πœƒπœƒβ„Ž(1 πœƒπœƒβ„Ž(1 NOUN american_scientific_journal-2734 63 17 βˆ’ βˆ’ NUM american_scientific_journal-2734 63 18 πœƒπœƒβ„Ž πœƒπœƒβ„Ž NOUN american_scientific_journal-2734 63 19 ) ) PUNCT american_scientific_journal-2734 63 20 exp exp NOUN american_scientific_journal-2734 63 21 οΏ½ οΏ½ PROPN american_scientific_journal-2734 63 22 πœŒπœŒπœƒπœƒβ„Ž(𝑦𝑦 πœŒπœŒπœƒπœƒβ„Ž(𝑦𝑦 ADP american_scientific_journal-2734 63 23 βˆ’ βˆ’ PROPN american_scientific_journal-2734 63 24 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž VERB american_scientific_journal-2734 64 1 βˆ’ βˆ’ PROPN american_scientific_journal-2734 64 2 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 ADJ american_scientific_journal-2734 64 3 ) ) PUNCT american_scientific_journal-2734 64 4 οΏ½ οΏ½ PROPN american_scientific_journal-2734 64 5 οΏ½ οΏ½ PROPN american_scientific_journal-2734 64 6 πΆπΆπ‘–π‘–β„Ž πΆπΆπ‘–π‘–β„Ž PROPN american_scientific_journal-2734 64 7 𝑛𝑛 𝑛𝑛 NOUN american_scientific_journal-2734 64 8 𝑖𝑖=1 𝑖𝑖=1 PRON american_scientific_journal-2734 64 9 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-2734 64 10 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 64 11 ( ( PUNCT american_scientific_journal-2734 64 12 9 9 NUM american_scientific_journal-2734 64 13 ) ) PUNCT american_scientific_journal-2734 64 14 recently recently ADV american_scientific_journal-2734 64 15 , , PUNCT american_scientific_journal-2734 64 16 [ [ X american_scientific_journal-2734 64 17 16 16 NUM american_scientific_journal-2734 64 18 ] ] PUNCT american_scientific_journal-2734 64 19 reformulated reformulate VERB american_scientific_journal-2734 64 20 the the DET american_scientific_journal-2734 64 21 distribution distribution NOUN american_scientific_journal-2734 64 22 of of ADP american_scientific_journal-2734 64 23 the the DET american_scientific_journal-2734 64 24 ( ( PUNCT american_scientific_journal-2734 64 25 ald ald PROPN american_scientific_journal-2734 64 26 ) ) PUNCT american_scientific_journal-2734 64 27 as as ADP american_scientific_journal-2734 64 28 a a DET american_scientific_journal-2734 64 29 mixture mixture NOUN american_scientific_journal-2734 64 30 of of ADP american_scientific_journal-2734 64 31 normal normal ADJ american_scientific_journal-2734 64 32 distributions distribution NOUN american_scientific_journal-2734 64 33 ( ( PUNCT american_scientific_journal-2734 64 34 smn smn PROPN american_scientific_journal-2734 64 35 ) ) PUNCT american_scientific_journal-2734 64 36 . . PUNCT american_scientific_journal-2734 65 1 more more ADV american_scientific_journal-2734 65 2 specifically specifically ADV american_scientific_journal-2734 65 3 , , PUNCT american_scientific_journal-2734 65 4 the the DET american_scientific_journal-2734 65 5 random random ADJ american_scientific_journal-2734 65 6 error error NOUN american_scientific_journal-2734 65 7 is be AUX american_scientific_journal-2734 65 8 equal equal ADJ american_scientific_journal-2734 65 9 to to ADP american_scientific_journal-2734 65 10 𝑒𝑒 𝑒𝑒 NOUN american_scientific_journal-2734 65 11 = = PUNCT american_scientific_journal-2734 65 12 𝜁𝜁1β„Žπ‘§π‘§π‘–π‘– 𝜁𝜁1β„Žπ‘§π‘§π‘–π‘– NOUN american_scientific_journal-2734 65 13 + + CCONJ american_scientific_journal-2734 65 14 𝜁𝜁2β„Ž 𝜁𝜁2β„Ž PROPN american_scientific_journal-2734 65 15 οΏ½ οΏ½ NOUN american_scientific_journal-2734 65 16 𝑧𝑧𝑖𝑖 𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 65 17 πœ–πœ– πœ–πœ– NOUN american_scientific_journal-2734 65 18 , , PUNCT american_scientific_journal-2734 65 19 where where SCONJ american_scientific_journal-2734 65 20 𝑧𝑧𝑖𝑖~𝐸𝐸π‘₯π‘₯𝐸𝐸[πœƒπœƒβ„Ž(1 𝑧𝑧𝑖𝑖~𝐸𝐸π‘₯π‘₯𝐸𝐸[πœƒπœƒβ„Ž(1 ADV american_scientific_journal-2734 65 21 βˆ’ βˆ’ NOUN american_scientific_journal-2734 65 22 πœƒπœƒβ„Ž πœƒπœƒβ„Ž NOUN american_scientific_journal-2734 65 23 ) ) PUNCT american_scientific_journal-2734 65 24 ] ] PUNCT american_scientific_journal-2734 65 25 and and CCONJ american_scientific_journal-2734 65 26 πœ–πœ– πœ–πœ– PROPN american_scientific_journal-2734 65 27 is be AUX american_scientific_journal-2734 65 28 distributed distribute VERB american_scientific_journal-2734 65 29 standard standard ADJ american_scientific_journal-2734 65 30 normal normal ADJ american_scientific_journal-2734 65 31 distribution distribution NOUN american_scientific_journal-2734 65 32 , , PUNCT american_scientific_journal-2734 65 33 πœ–πœ–~𝑁𝑁(0,1 πœ–πœ–~𝑁𝑁(0,1 NOUN american_scientific_journal-2734 65 34 ) ) PUNCT american_scientific_journal-2734 65 35 . . PUNCT american_scientific_journal-2734 66 1 therefore therefore ADV american_scientific_journal-2734 66 2 , , PUNCT american_scientific_journal-2734 66 3 the the DET american_scientific_journal-2734 66 4 random random ADJ american_scientific_journal-2734 66 5 error error NOUN american_scientific_journal-2734 66 6 𝑒𝑒 𝑒𝑒 NOUN american_scientific_journal-2734 66 7 is be AUX american_scientific_journal-2734 66 8 distributed distribute VERB american_scientific_journal-2734 66 9 normal normal ADJ american_scientific_journal-2734 66 10 distribution distribution NOUN american_scientific_journal-2734 66 11 with with ADP american_scientific_journal-2734 66 12 mean mean NOUN american_scientific_journal-2734 66 13 ( ( PUNCT american_scientific_journal-2734 66 14 ( ( PUNCT american_scientific_journal-2734 66 15 1 1 NUM american_scientific_journal-2734 66 16 βˆ’ βˆ’ PROPN american_scientific_journal-2734 66 17 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 66 18 and and CCONJ american_scientific_journal-2734 66 19 variance variance NOUN american_scientific_journal-2734 66 20 ( ( PUNCT american_scientific_journal-2734 66 21 2𝑧𝑧𝑖𝑖 2𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 66 22 ) ) PUNCT american_scientific_journal-2734 66 23 , , PUNCT american_scientific_journal-2734 66 24 𝑒𝑒~𝑁𝑁( 𝑒𝑒~𝑁𝑁( NOUN american_scientific_journal-2734 66 25 οΏ½ οΏ½ PROPN american_scientific_journal-2734 66 26 (1 (1 PUNCT american_scientific_journal-2734 66 27 βˆ’ βˆ’ PROPN american_scientific_journal-2734 66 28 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 66 29 , , PUNCT american_scientific_journal-2734 66 30 2𝑧𝑧𝑖𝑖 2𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 66 31 οΏ½ οΏ½ PROPN american_scientific_journal-2734 66 32 . . PUNCT american_scientific_journal-2734 67 1 as as ADP american_scientific_journal-2734 67 2 a a DET american_scientific_journal-2734 67 3 result result NOUN american_scientific_journal-2734 67 4 , , PUNCT american_scientific_journal-2734 67 5 the the DET american_scientific_journal-2734 67 6 response response NOUN american_scientific_journal-2734 67 7 variable variable NOUN american_scientific_journal-2734 67 8 𝑦𝑦 𝑦𝑦 PROPN american_scientific_journal-2734 67 9 is be AUX american_scientific_journal-2734 67 10 distributed distribute VERB american_scientific_journal-2734 67 11 normal normal ADJ american_scientific_journal-2734 67 12 distribution distribution NOUN american_scientific_journal-2734 67 13 with with ADP american_scientific_journal-2734 67 14 mean mean NOUN american_scientific_journal-2734 67 15 ( ( PUNCT american_scientific_journal-2734 67 16 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž PROPN american_scientific_journal-2734 67 17 + + SYM american_scientific_journal-2734 67 18 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 NOUN american_scientific_journal-2734 67 19 + + CCONJ american_scientific_journal-2734 67 20 ( ( PUNCT american_scientific_journal-2734 67 21 1 1 NUM american_scientific_journal-2734 67 22 βˆ’ βˆ’ NOUN american_scientific_journal-2734 67 23 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 67 24 ) ) PUNCT american_scientific_journal-2734 67 25 and and CCONJ american_scientific_journal-2734 67 26 variance variance NOUN american_scientific_journal-2734 67 27 ( ( PUNCT american_scientific_journal-2734 67 28 2𝑧𝑧𝑖𝑖 2𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 67 29 ) ) PUNCT american_scientific_journal-2734 67 30 . . PUNCT american_scientific_journal-2734 68 1 , , PUNCT american_scientific_journal-2734 68 2 𝑦𝑦𝑖𝑖|π›Όπ›Όβ„Ž,𝛽𝛽 𝑦𝑦𝑖𝑖|π›Όπ›Όβ„Ž,𝛽𝛽 PROPN american_scientific_journal-2734 68 3 , , PUNCT american_scientific_journal-2734 68 4 𝑧𝑧𝑖𝑖~𝑁𝑁(π›Όπ›Όβ„Ž 𝑧𝑧𝑖𝑖~𝑁𝑁(π›Όπ›Όβ„Ž PROPN american_scientific_journal-2734 68 5 + + NUM american_scientific_journal-2734 68 6 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 NOUN american_scientific_journal-2734 68 7 + + CCONJ american_scientific_journal-2734 68 8 ( ( PUNCT american_scientific_journal-2734 68 9 1 1 NUM american_scientific_journal-2734 68 10 βˆ’ βˆ’ PROPN american_scientific_journal-2734 68 11 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 68 12 , , PUNCT american_scientific_journal-2734 68 13 2𝑧𝑧𝑖𝑖 2𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 68 14 ) ) PUNCT american_scientific_journal-2734 68 15 . . PUNCT american_scientific_journal-2734 69 1 according accord VERB american_scientific_journal-2734 69 2 to to ADP american_scientific_journal-2734 69 3 the the DET american_scientific_journal-2734 69 4 formulation formulation NOUN american_scientific_journal-2734 69 5 of of ADP american_scientific_journal-2734 69 6 [ [ X american_scientific_journal-2734 69 7 16 16 NUM american_scientific_journal-2734 69 8 ] ] PUNCT american_scientific_journal-2734 69 9 , , PUNCT american_scientific_journal-2734 69 10 our our PRON american_scientific_journal-2734 69 11 bayesian bayesian NOUN american_scientific_journal-2734 69 12 composite composite NOUN american_scientific_journal-2734 69 13 quantile quantile ADJ american_scientific_journal-2734 69 14 regression regression NOUN american_scientific_journal-2734 69 15 can can AUX american_scientific_journal-2734 69 16 be be AUX american_scientific_journal-2734 69 17 written write VERB american_scientific_journal-2734 69 18 as as ADP american_scientific_journal-2734 69 19 : : PUNCT american_scientific_journal-2734 69 20 𝑖𝑖(𝑦𝑦|𝑋𝑋 𝑖𝑖(𝑦𝑦|𝑋𝑋 PROPN american_scientific_journal-2734 69 21 , , PUNCT american_scientific_journal-2734 69 22 𝑧𝑧𝑖𝑖 𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 69 23 , , PUNCT american_scientific_journal-2734 69 24 𝛽𝛽,π›Όπ›Όβ„Ž 𝛽𝛽,π›Όπ›Όβ„Ž PROPN american_scientific_journal-2734 69 25 , , PUNCT american_scientific_journal-2734 69 26 𝐢𝐢 𝐢𝐢 PROPN american_scientific_journal-2734 69 27 ) ) PUNCT american_scientific_journal-2734 69 28 = = PUNCT american_scientific_journal-2734 69 29 οΏ½ οΏ½ PROPN american_scientific_journal-2734 69 30 οΏ½ οΏ½ PROPN american_scientific_journal-2734 69 31 1 1 NUM american_scientific_journal-2734 69 32 οΏ½ οΏ½ PROPN american_scientific_journal-2734 69 33 4πœ‹πœ‹π‘§π‘§π‘–π‘– 4πœ‹πœ‹π‘§π‘§π‘–π‘– NUM american_scientific_journal-2734 69 34 οΏ½ οΏ½ PROPN american_scientific_journal-2734 70 1 πΆπΆπ‘–π‘–β„Žπ‘›π‘› πΆπΆπ‘–π‘–β„Žπ‘›π‘› PROPN american_scientific_journal-2734 70 2 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 70 3 𝑒𝑒π‘₯π‘₯𝐸𝐸 𝑒𝑒π‘₯π‘₯𝐸𝐸 PROPN american_scientific_journal-2734 70 4 οΏ½ οΏ½ PROPN american_scientific_journal-2734 70 5 βˆ’ βˆ’ NOUN american_scientific_journal-2734 70 6 1 1 NUM american_scientific_journal-2734 70 7 2 2 NUM american_scientific_journal-2734 70 8 οΏ½ οΏ½ PROPN american_scientific_journal-2734 70 9 οΏ½ οΏ½ PROPN american_scientific_journal-2734 70 10 πΆπΆπ‘–π‘–β„Ž(𝑦𝑦 πΆπΆπ‘–π‘–β„Ž(𝑦𝑦 PROPN american_scientific_journal-2734 70 11 βˆ’ βˆ’ PROPN american_scientific_journal-2734 70 12 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž VERB american_scientific_journal-2734 70 13 βˆ’ βˆ’ PROPN american_scientific_journal-2734 70 14 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 NOUN american_scientific_journal-2734 70 15 βˆ’ βˆ’ NOUN american_scientific_journal-2734 70 16 ( ( PUNCT american_scientific_journal-2734 70 17 1 1 NUM american_scientific_journal-2734 70 18 βˆ’ βˆ’ NUM american_scientific_journal-2734 70 19 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 70 20 ) ) PUNCT american_scientific_journal-2734 70 21 2𝑧𝑧𝑖𝑖 2𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 70 22 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-2734 70 23 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 70 24 𝑛𝑛 𝑛𝑛 ADP american_scientific_journal-2734 70 25 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 70 26 οΏ½ οΏ½ PROPN american_scientific_journal-2734 70 27 ( ( PUNCT american_scientific_journal-2734 70 28 10 10 NUM american_scientific_journal-2734 70 29 ) ) PUNCT american_scientific_journal-2734 70 30 under under ADP american_scientific_journal-2734 70 31 the the PRON american_scientific_journal-2734 70 32 of of ADP american_scientific_journal-2734 70 33 formulation formulation NOUN american_scientific_journal-2734 70 34 equation equation NOUN american_scientific_journal-2734 70 35 ( ( PUNCT american_scientific_journal-2734 70 36 10 10 NUM american_scientific_journal-2734 70 37 ) ) PUNCT american_scientific_journal-2734 70 38 , , PUNCT american_scientific_journal-2734 70 39 the the DET american_scientific_journal-2734 70 40 composite composite ADJ american_scientific_journal-2734 70 41 quantile quantile ADJ american_scientific_journal-2734 70 42 regression regression NOUN american_scientific_journal-2734 70 43 coefficients coefficient NOUN american_scientific_journal-2734 70 44 have have VERB american_scientific_journal-2734 70 45 good good ADJ american_scientific_journal-2734 70 46 features feature NOUN american_scientific_journal-2734 70 47 for for ADP american_scientific_journal-2734 70 48 constructing construct VERB american_scientific_journal-2734 70 49 a a DET american_scientific_journal-2734 70 50 good good ADJ american_scientific_journal-2734 70 51 and and CCONJ american_scientific_journal-2734 70 52 efficient efficient ADJ american_scientific_journal-2734 70 53 gibbs gibbs PROPN american_scientific_journal-2734 70 54 sampler sampler NOUN american_scientific_journal-2734 70 55 algorithm algorithm NOUN american_scientific_journal-2734 70 56 . . PUNCT american_scientific_journal-2734 71 1 2.2 2.2 NUM american_scientific_journal-2734 71 2 . . PUNCT american_scientific_journal-2734 72 1 new new ADJ american_scientific_journal-2734 72 2 bayesian bayesian NOUN american_scientific_journal-2734 72 3 lasso lasso NOUN american_scientific_journal-2734 72 4 composite composite ADJ american_scientific_journal-2734 72 5 qreg qreg NOUN american_scientific_journal-2734 72 6 ( ( PUNCT american_scientific_journal-2734 72 7 new new PROPN american_scientific_journal-2734 72 8 b b PROPN american_scientific_journal-2734 72 9 c c NOUN american_scientific_journal-2734 72 10 qreg qreg VERB american_scientific_journal-2734 72 11 ) ) PUNCT american_scientific_journal-2734 73 1 [ [ X american_scientific_journal-2734 73 2 23 23 NUM american_scientific_journal-2734 73 3 ] ] PUNCT american_scientific_journal-2734 73 4 proposed propose VERB american_scientific_journal-2734 73 5 a a DET american_scientific_journal-2734 73 6 new new ADJ american_scientific_journal-2734 73 7 method method NOUN american_scientific_journal-2734 73 8 of of ADP american_scientific_journal-2734 73 9 estimation estimation NOUN american_scientific_journal-2734 73 10 and and CCONJ american_scientific_journal-2734 73 11 variables variable NOUN american_scientific_journal-2734 73 12 selection selection NOUN american_scientific_journal-2734 73 13 in in ADP american_scientific_journal-2734 73 14 linear linear PROPN american_scientific_journal-2734 73 15 regression regression NOUN american_scientific_journal-2734 73 16 model model NOUN american_scientific_journal-2734 73 17 , , PUNCT american_scientific_journal-2734 73 18 known know VERB american_scientific_journal-2734 73 19 as as ADP american_scientific_journal-2734 73 20 lasso lasso NOUN american_scientific_journal-2734 73 21 ( ( PUNCT american_scientific_journal-2734 73 22 least least ADJ american_scientific_journal-2734 73 23 absolute absolute ADJ american_scientific_journal-2734 73 24 shrinkage shrinkage NOUN american_scientific_journal-2734 73 25 and and CCONJ american_scientific_journal-2734 73 26 selection selection NOUN american_scientific_journal-2734 73 27 operator operator NOUN american_scientific_journal-2734 73 28 ) ) PUNCT american_scientific_journal-2734 73 29 . . PUNCT american_scientific_journal-2734 74 1 in in ADP american_scientific_journal-2734 74 2 the the DET american_scientific_journal-2734 74 3 same same ADJ american_scientific_journal-2734 74 4 context context NOUN american_scientific_journal-2734 74 5 [ [ X american_scientific_journal-2734 74 6 23 23 NUM american_scientific_journal-2734 74 7 ] ] PUNCT american_scientific_journal-2734 74 8 mentioned mention VERB american_scientific_journal-2734 74 9 bayesian bayesian NOUN american_scientific_journal-2734 74 10 lasso lasso NOUN american_scientific_journal-2734 74 11 in in ADP american_scientific_journal-2734 74 12 linear linear PROPN american_scientific_journal-2734 74 13 regression regression NOUN american_scientific_journal-2734 74 14 model model NOUN american_scientific_journal-2734 74 15 is be AUX american_scientific_journal-2734 74 16 possible possible ADJ american_scientific_journal-2734 74 17 under under ADP american_scientific_journal-2734 74 18 assigned assign VERB american_scientific_journal-2734 74 19 laplace laplace NOUN american_scientific_journal-2734 74 20 distribution distribution NOUN american_scientific_journal-2734 74 21 as as ADP american_scientific_journal-2734 74 22 priors prior NOUN american_scientific_journal-2734 74 23 for for ADP american_scientific_journal-2734 74 24 the the DET american_scientific_journal-2734 74 25 𝛽𝛽𝑗𝑗. 𝛽𝛽𝑗𝑗. ADJ american_scientific_journal-2734 74 26 [ [ X american_scientific_journal-2734 74 27 12 12 NUM american_scientific_journal-2734 74 28 ] ] PUNCT american_scientific_journal-2734 74 29 proposed propose VERB american_scientific_journal-2734 74 30 lasso lasso ADJ american_scientific_journal-2734 74 31 american american PROPN american_scientific_journal-2734 74 32 scientific scientific ADJ american_scientific_journal-2734 74 33 research research NOUN american_scientific_journal-2734 74 34 journal journal NOUN american_scientific_journal-2734 74 35 for for ADP american_scientific_journal-2734 74 36 engineering engineering NOUN american_scientific_journal-2734 74 37 , , PUNCT american_scientific_journal-2734 74 38 technology technology NOUN american_scientific_journal-2734 74 39 , , PUNCT american_scientific_journal-2734 74 40 and and CCONJ american_scientific_journal-2734 74 41 sciences science NOUN american_scientific_journal-2734 74 42 ( ( PUNCT american_scientific_journal-2734 74 43 asrjets asrjet NOUN american_scientific_journal-2734 74 44 ) ) PUNCT american_scientific_journal-2734 74 45 ( ( PUNCT american_scientific_journal-2734 74 46 2017 2017 NUM american_scientific_journal-2734 74 47 ) ) PUNCT american_scientific_journal-2734 74 48 volume volume NOUN american_scientific_journal-2734 74 49 29 29 NUM american_scientific_journal-2734 74 50 , , PUNCT american_scientific_journal-2734 74 51 no no DET american_scientific_journal-2734 74 52 1 1 NUM american_scientific_journal-2734 74 53 , , PUNCT american_scientific_journal-2734 74 54 pp pp ADJ american_scientific_journal-2734 74 55 138 138 NUM american_scientific_journal-2734 74 56 - - SYM american_scientific_journal-2734 74 57 152 152 NUM american_scientific_journal-2734 74 58 142 142 NUM american_scientific_journal-2734 74 59 quantile quantile ADJ american_scientific_journal-2734 74 60 regression regression NOUN american_scientific_journal-2734 74 61 that that PRON american_scientific_journal-2734 74 62 takes take VERB american_scientific_journal-2734 74 63 the the DET american_scientific_journal-2734 74 64 following follow VERB american_scientific_journal-2734 74 65 formula formula NOUN american_scientific_journal-2734 74 66 : : PUNCT american_scientific_journal-2734 74 67 οΏ½ οΏ½ X american_scientific_journal-2734 74 68 πœŒπœŒπœƒπœƒ πœŒπœŒπœƒπœƒ ADV american_scientific_journal-2734 74 69 𝑛𝑛 𝑛𝑛 NOUN american_scientific_journal-2734 74 70 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 74 71 , , PUNCT american_scientific_journal-2734 74 72 π›½π›½πœƒπœƒ π›½π›½πœƒπœƒ VERB american_scientific_journal-2734 74 73 π‘šπ‘šπ‘–π‘–π‘›π‘› π‘šπ‘šπ‘–π‘–π‘›π‘› ADJ american_scientific_journal-2734 74 74 ( ( PUNCT american_scientific_journal-2734 74 75 𝑦𝑦𝑖𝑖 𝑦𝑦𝑖𝑖 NOUN american_scientific_journal-2734 74 76 βˆ’ βˆ’ PROPN american_scientific_journal-2734 74 77 π›Όπ›Όπœƒπœƒ π›Όπ›Όπœƒπœƒ PROPN american_scientific_journal-2734 74 78 βˆ’ βˆ’ PROPN american_scientific_journal-2734 74 79 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 NOUN american_scientific_journal-2734 74 80 ) ) PUNCT american_scientific_journal-2734 75 1 + + CCONJ american_scientific_journal-2734 75 2 πœ†πœ† πœ†πœ† NUM american_scientific_journal-2734 75 3 οΏ½ οΏ½ PROPN american_scientific_journal-2734 75 4 |𝛽𝛽| |𝛽𝛽| PROPN american_scientific_journal-2734 75 5 οΏ½ οΏ½ PROPN american_scientific_journal-2734 75 6 ( ( PUNCT american_scientific_journal-2734 75 7 11 11 NUM american_scientific_journal-2734 75 8 ) ) PUNCT american_scientific_journal-2734 75 9 where where SCONJ american_scientific_journal-2734 75 10 πœ†πœ†(πœ†πœ† πœ†πœ†(πœ†πœ† PROPN american_scientific_journal-2734 75 11 β‰₯ β‰₯ NOUN american_scientific_journal-2734 75 12 0 0 NUM american_scientific_journal-2734 75 13 ) ) PUNCT american_scientific_journal-2734 75 14 is be AUX american_scientific_journal-2734 75 15 the the DET american_scientific_journal-2734 75 16 tuning tuning NOUN american_scientific_journal-2734 75 17 parameter parameter NOUN american_scientific_journal-2734 75 18 . . PUNCT american_scientific_journal-2734 76 1 [ [ X american_scientific_journal-2734 76 2 18 18 NUM american_scientific_journal-2734 76 3 ] ] PUNCT american_scientific_journal-2734 76 4 suggested suggest VERB american_scientific_journal-2734 76 5 bayesian bayesian NOUN american_scientific_journal-2734 76 6 lasso lasso NOUN american_scientific_journal-2734 76 7 for for ADP american_scientific_journal-2734 76 8 linear linear PROPN american_scientific_journal-2734 76 9 quantile quantile ADJ american_scientific_journal-2734 76 10 regression regression NOUN american_scientific_journal-2734 76 11 model model NOUN american_scientific_journal-2734 76 12 by by ADP american_scientific_journal-2734 76 13 assigning assign VERB american_scientific_journal-2734 76 14 laplace laplace NOUN american_scientific_journal-2734 76 15 prior prior ADV american_scientific_journal-2734 76 16 for for SCONJ american_scientific_journal-2734 76 17 the the DET american_scientific_journal-2734 76 18 𝛽𝛽𝑗𝑗.the 𝛽𝛽𝑗𝑗.the DET american_scientific_journal-2734 76 19 probability probability NOUN american_scientific_journal-2734 76 20 density density NOUN american_scientific_journal-2734 76 21 function function NOUN american_scientific_journal-2734 76 22 takes take VERB american_scientific_journal-2734 76 23 the the DET american_scientific_journal-2734 76 24 specification specification NOUN american_scientific_journal-2734 76 25 of of ADP american_scientific_journal-2734 76 26 the the DET american_scientific_journal-2734 76 27 form form NOUN american_scientific_journal-2734 76 28 : : PUNCT american_scientific_journal-2734 76 29 𝐸𝐸 𝐸𝐸 PROPN american_scientific_journal-2734 76 30 οΏ½ οΏ½ PROPN american_scientific_journal-2734 76 31 𝛽𝛽𝑗𝑗 𝛽𝛽𝑗𝑗 NOUN american_scientific_journal-2734 76 32 οΏ½ οΏ½ PROPN american_scientific_journal-2734 76 33 πœ†πœ† πœ†πœ† NOUN american_scientific_journal-2734 76 34 οΏ½ οΏ½ PROPN american_scientific_journal-2734 76 35 = = SYM american_scientific_journal-2734 76 36 πœ†πœ† πœ†πœ† NOUN american_scientific_journal-2734 76 37 2 2 NUM american_scientific_journal-2734 76 38 𝑒𝑒π‘₯π‘₯𝐸𝐸[βˆ’πœ†πœ†|𝛽𝛽| 𝑒𝑒π‘₯π‘₯𝐸𝐸[βˆ’πœ†πœ†|𝛽𝛽| ADJ american_scientific_journal-2734 76 39 ] ] PUNCT american_scientific_journal-2734 76 40 ( ( PUNCT american_scientific_journal-2734 76 41 12 12 NUM american_scientific_journal-2734 76 42 ) ) PUNCT american_scientific_journal-2734 76 43 it it PRON american_scientific_journal-2734 76 44 is be AUX american_scientific_journal-2734 76 45 difficult difficult ADJ american_scientific_journal-2734 76 46 to to PART american_scientific_journal-2734 76 47 use use VERB american_scientific_journal-2734 76 48 equation equation NOUN american_scientific_journal-2734 76 49 ( ( PUNCT american_scientific_journal-2734 76 50 12 12 NUM american_scientific_journal-2734 76 51 ) ) PUNCT american_scientific_journal-2734 76 52 directly directly ADV american_scientific_journal-2734 76 53 in in ADP american_scientific_journal-2734 76 54 the the DET american_scientific_journal-2734 76 55 estimation estimation NOUN american_scientific_journal-2734 76 56 of of ADP american_scientific_journal-2734 76 57 the the DET american_scientific_journal-2734 76 58 model model NOUN american_scientific_journal-2734 76 59 parameters parameter NOUN american_scientific_journal-2734 76 60 . . PUNCT american_scientific_journal-2734 77 1 therefore therefore ADV american_scientific_journal-2734 77 2 , , PUNCT american_scientific_journal-2734 77 3 most most ADJ american_scientific_journal-2734 77 4 researchers researcher NOUN american_scientific_journal-2734 77 5 in in ADP american_scientific_journal-2734 77 6 the the DET american_scientific_journal-2734 77 7 field field NOUN american_scientific_journal-2734 77 8 of of ADP american_scientific_journal-2734 77 9 bayesian bayesian NOUN american_scientific_journal-2734 77 10 lasso lasso NOUN american_scientific_journal-2734 77 11 regression regression NOUN american_scientific_journal-2734 77 12 models model NOUN american_scientific_journal-2734 77 13 use use VERB american_scientific_journal-2734 77 14 the the DET american_scientific_journal-2734 77 15 transformation transformation NOUN american_scientific_journal-2734 77 16 laplace laplace NOUN american_scientific_journal-2734 77 17 distribution distribution NOUN american_scientific_journal-2734 77 18 to to ADP american_scientific_journal-2734 77 19 the the DET american_scientific_journal-2734 77 20 scale scale NOUN american_scientific_journal-2734 77 21 mixture mixture NOUN american_scientific_journal-2734 77 22 normal normal ADJ american_scientific_journal-2734 77 23 . . PUNCT american_scientific_journal-2734 78 1 the the DET american_scientific_journal-2734 78 2 works work NOUN american_scientific_journal-2734 78 3 of of ADP american_scientific_journal-2734 78 4 [ [ X american_scientific_journal-2734 78 5 20 20 NUM american_scientific_journal-2734 78 6 ] ] PUNCT american_scientific_journal-2734 78 7 ; ; PUNCT american_scientific_journal-2734 78 8 [ [ X american_scientific_journal-2734 78 9 17 17 NUM american_scientific_journal-2734 78 10 ] ] PUNCT american_scientific_journal-2734 78 11 ; ; PUNCT american_scientific_journal-2734 78 12 [ [ X american_scientific_journal-2734 78 13 4 4 X american_scientific_journal-2734 78 14 ] ] PUNCT american_scientific_journal-2734 78 15 and and CCONJ american_scientific_journal-2734 78 16 [ [ X american_scientific_journal-2734 78 17 9 9 NUM american_scientific_journal-2734 78 18 ] ] X american_scientific_journal-2734 78 19 are be AUX american_scientific_journal-2734 78 20 relevant relevant ADJ american_scientific_journal-2734 78 21 . . PUNCT american_scientific_journal-2734 79 1 in in ADP american_scientific_journal-2734 79 2 this this DET american_scientific_journal-2734 79 3 paper paper NOUN american_scientific_journal-2734 79 4 , , PUNCT american_scientific_journal-2734 79 5 we we PRON american_scientific_journal-2734 79 6 develop develop VERB american_scientific_journal-2734 79 7 an an DET american_scientific_journal-2734 79 8 alternative alternative ADJ american_scientific_journal-2734 79 9 hierarchical hierarchical ADJ american_scientific_journal-2734 79 10 bayesian bayesian NOUN american_scientific_journal-2734 79 11 model model NOUN american_scientific_journal-2734 79 12 by by ADP american_scientific_journal-2734 79 13 using use VERB american_scientific_journal-2734 79 14 a a DET american_scientific_journal-2734 79 15 new new ADJ american_scientific_journal-2734 79 16 lasso lasso NOUN american_scientific_journal-2734 79 17 technique technique NOUN american_scientific_journal-2734 79 18 . . PUNCT american_scientific_journal-2734 80 1 according accord VERB american_scientific_journal-2734 80 2 to to ADP american_scientific_journal-2734 80 3 the the DET american_scientific_journal-2734 80 4 proposal proposal NOUN american_scientific_journal-2734 80 5 of of ADP american_scientific_journal-2734 80 6 [ [ X american_scientific_journal-2734 80 7 19 19 NUM american_scientific_journal-2734 80 8 ] ] PUNCT american_scientific_journal-2734 80 9 the the DET american_scientific_journal-2734 80 10 laplace laplace NOUN american_scientific_journal-2734 80 11 prior prior ADJ american_scientific_journal-2734 80 12 distribution distribution NOUN american_scientific_journal-2734 80 13 on on ADP american_scientific_journal-2734 80 14 coefficients coefficient NOUN american_scientific_journal-2734 80 15 ( ( PUNCT american_scientific_journal-2734 80 16 Ξ²j Ξ²j PRON american_scientific_journal-2734 80 17 ) ) PUNCT american_scientific_journal-2734 80 18 can can AUX american_scientific_journal-2734 80 19 be be AUX american_scientific_journal-2734 80 20 written write VERB american_scientific_journal-2734 80 21 as as ADP american_scientific_journal-2734 80 22 : : PUNCT american_scientific_journal-2734 80 23 πœ†πœ† πœ†πœ† NOUN american_scientific_journal-2734 80 24 2 2 NUM american_scientific_journal-2734 80 25 𝑒𝑒π‘₯π‘₯𝐸𝐸[βˆ’πœ†πœ†|𝛽𝛽| 𝑒𝑒π‘₯π‘₯𝐸𝐸[βˆ’πœ†πœ†|𝛽𝛽| ADJ american_scientific_journal-2734 80 26 ] ] PUNCT american_scientific_journal-2734 80 27 = = SYM american_scientific_journal-2734 80 28 οΏ½ οΏ½ PROPN american_scientific_journal-2734 80 29 1 1 NUM american_scientific_journal-2734 80 30 2𝑠𝑠𝑗𝑗 2𝑠𝑠𝑗𝑗 PROPN american_scientific_journal-2734 80 31 πœ†πœ†2 πœ†πœ†2 NOUN american_scientific_journal-2734 80 32 Ξ³(2 Ξ³(2 PROPN american_scientific_journal-2734 80 33 ) ) PUNCT american_scientific_journal-2734 80 34 𝑠𝑠𝑗𝑗2βˆ’1 𝑠𝑠𝑗𝑗2βˆ’1 ADP american_scientific_journal-2734 80 35 𝑒𝑒π‘₯π‘₯𝐸𝐸 𝑒𝑒π‘₯π‘₯𝐸𝐸 PROPN american_scientific_journal-2734 80 36 οΏ½ οΏ½ PROPN american_scientific_journal-2734 80 37 βˆ’πœ†πœ†π‘ π‘ π‘—π‘— βˆ’πœ†πœ†π‘ π‘ π‘—π‘— NOUN american_scientific_journal-2734 80 38 οΏ½ οΏ½ PROPN american_scientific_journal-2734 80 39 π‘Žπ‘Žπ‘ π‘ π‘—π‘— π‘Žπ‘Žπ‘ π‘ π‘—π‘— PROPN american_scientific_journal-2734 80 40 ( ( PUNCT american_scientific_journal-2734 80 41 13 13 NUM american_scientific_journal-2734 80 42 ) ) PUNCT american_scientific_journal-2734 80 43 . . PUNCT american_scientific_journal-2734 81 1 𝑠𝑠𝑗𝑗>|𝛽𝛽𝑗𝑗| 𝑠𝑠𝑗𝑗>|𝛽𝛽𝑗𝑗| PROPN american_scientific_journal-2734 81 2 = = PROPN american_scientific_journal-2734 81 3 οΏ½ οΏ½ PROPN american_scientific_journal-2734 81 4 πœ†πœ†2 πœ†πœ†2 NOUN american_scientific_journal-2734 81 5 2 2 NUM american_scientific_journal-2734 81 6 𝑒𝑒π‘₯π‘₯𝐸𝐸 𝑒𝑒π‘₯π‘₯𝐸𝐸 PROPN american_scientific_journal-2734 81 7 οΏ½ οΏ½ PROPN american_scientific_journal-2734 81 8 βˆ’πœ†πœ†π‘ π‘ π‘—π‘— βˆ’πœ†πœ†π‘ π‘ π‘—π‘— NOUN american_scientific_journal-2734 81 9 οΏ½ οΏ½ PROPN american_scientific_journal-2734 81 10 π‘Žπ‘Žπ‘ π‘ π‘—π‘— π‘Žπ‘Žπ‘ π‘ π‘—π‘— PROPN american_scientific_journal-2734 81 11 . . PUNCT american_scientific_journal-2734 82 1 𝑠𝑠𝑗𝑗>|𝛽𝛽𝑗𝑗| 𝑠𝑠𝑗𝑗>|𝛽𝛽𝑗𝑗| PROPN american_scientific_journal-2734 82 2 where where SCONJ american_scientific_journal-2734 82 3 Ξ³(2 Ξ³(2 NOUN american_scientific_journal-2734 82 4 ) ) PUNCT american_scientific_journal-2734 82 5 = = PUNCT american_scientific_journal-2734 82 6 ( ( PUNCT american_scientific_journal-2734 82 7 2 2 NUM american_scientific_journal-2734 82 8 βˆ’ βˆ’ NUM american_scientific_journal-2734 82 9 1 1 NUM american_scientific_journal-2734 82 10 ) ) PUNCT american_scientific_journal-2734 82 11 ! ! PUNCT american_scientific_journal-2734 83 1 = = SYM american_scientific_journal-2734 84 1 1 1 NUM american_scientific_journal-2734 84 2 = = SYM american_scientific_journal-2734 84 3 πœ†πœ† πœ†πœ† NOUN american_scientific_journal-2734 84 4 2 2 NUM american_scientific_journal-2734 84 5 2 2 NUM american_scientific_journal-2734 84 6 οΏ½ οΏ½ PROPN american_scientific_journal-2734 84 7 𝑒𝑒𝑒𝑒𝑒𝑒 𝑒𝑒𝑒𝑒𝑒𝑒 PROPN american_scientific_journal-2734 84 8 οΏ½ οΏ½ PROPN american_scientific_journal-2734 84 9 βˆ’πœ†πœ†π‘ π‘ π‘—π‘— βˆ’πœ†πœ†π‘ π‘ π‘—π‘— NOUN american_scientific_journal-2734 84 10 οΏ½ οΏ½ PROPN american_scientific_journal-2734 84 11 βˆ’πœ†πœ† βˆ’πœ†πœ† PROPN american_scientific_journal-2734 84 12 οΏ½ οΏ½ PROPN american_scientific_journal-2734 84 13 |𝛽𝛽𝑗𝑗| |𝛽𝛽𝑗𝑗| NOUN american_scientific_journal-2734 84 14 ∞ ∞ PROPN american_scientific_journal-2734 84 15 = = SYM american_scientific_journal-2734 84 16 πœ†πœ† πœ†πœ† NUM american_scientific_journal-2734 84 17 2 2 NUM american_scientific_journal-2734 84 18 2 2 NUM american_scientific_journal-2734 84 19 οΏ½ οΏ½ NOUN american_scientific_journal-2734 84 20 𝑒𝑒𝑒𝑒𝑒𝑒{βˆ’πœ†πœ†βˆž 𝑒𝑒𝑒𝑒𝑒𝑒{βˆ’πœ†πœ†βˆž NOUN american_scientific_journal-2734 84 21 } } PUNCT american_scientific_journal-2734 84 22 βˆ’πœ†πœ† βˆ’πœ†πœ† PROPN american_scientific_journal-2734 84 23 + + NUM american_scientific_journal-2734 84 24 𝑒𝑒𝑒𝑒𝑒𝑒{βˆ’πœ†πœ†|𝛽𝛽| 𝑒𝑒𝑒𝑒𝑒𝑒{βˆ’πœ†πœ†|𝛽𝛽| NOUN american_scientific_journal-2734 84 25 } } PUNCT american_scientific_journal-2734 84 26 βˆ’πœ†πœ† βˆ’πœ†πœ† PROPN american_scientific_journal-2734 84 27 οΏ½ οΏ½ PROPN american_scientific_journal-2734 84 28 = = SYM american_scientific_journal-2734 84 29 πœ†πœ†2 πœ†πœ†2 NOUN american_scientific_journal-2734 84 30 2 2 NUM american_scientific_journal-2734 84 31 οΏ½ οΏ½ NOUN american_scientific_journal-2734 84 32 0 0 NUM american_scientific_journal-2734 84 33 + + NUM american_scientific_journal-2734 84 34 𝑒𝑒𝑒𝑒𝑒𝑒{βˆ’πœ†πœ†|𝛽𝛽| 𝑒𝑒𝑒𝑒𝑒𝑒{βˆ’πœ†πœ†|𝛽𝛽| NOUN american_scientific_journal-2734 84 35 } } PUNCT american_scientific_journal-2734 84 36 βˆ’πœ†πœ† βˆ’πœ†πœ† PROPN american_scientific_journal-2734 84 37 οΏ½ οΏ½ PROPN american_scientific_journal-2734 84 38 = = PUNCT american_scientific_journal-2734 84 39 πœ†πœ† πœ†πœ† NOUN american_scientific_journal-2734 84 40 2 2 NUM american_scientific_journal-2734 84 41 𝑒𝑒π‘₯π‘₯𝐸𝐸[βˆ’πœ†πœ†|𝛽𝛽| 𝑒𝑒π‘₯π‘₯𝐸𝐸[βˆ’πœ†πœ†|𝛽𝛽| NOUN american_scientific_journal-2734 84 42 ] ] PUNCT american_scientific_journal-2734 84 43 where where SCONJ american_scientific_journal-2734 84 44 sj sj PROPN american_scientific_journal-2734 84 45 is be AUX american_scientific_journal-2734 84 46 a a DET american_scientific_journal-2734 84 47 mixing mix VERB american_scientific_journal-2734 84 48 variable variable NOUN american_scientific_journal-2734 84 49 . . PUNCT american_scientific_journal-2734 85 1 our our PRON american_scientific_journal-2734 85 2 bayesian bayesian NOUN american_scientific_journal-2734 85 3 hierarchical hierarchical ADJ american_scientific_journal-2734 85 4 model model NOUN american_scientific_journal-2734 85 5 can can AUX american_scientific_journal-2734 85 6 be be AUX american_scientific_journal-2734 85 7 formulated formulate VERB american_scientific_journal-2734 85 8 as as ADP american_scientific_journal-2734 85 9 below below ADV american_scientific_journal-2734 85 10 after after ADP american_scientific_journal-2734 85 11 assigning assign VERB american_scientific_journal-2734 85 12 gamma gamma NOUN american_scientific_journal-2734 85 13 priors prior NOUN american_scientific_journal-2734 85 14 on on ADP american_scientific_journal-2734 85 15 πœ†πœ†. πœ†πœ†. PROPN american_scientific_journal-2734 85 16 𝑖𝑖(𝑦𝑦|𝑋𝑋 𝑖𝑖(𝑦𝑦|𝑋𝑋 PROPN american_scientific_journal-2734 85 17 , , PUNCT american_scientific_journal-2734 85 18 𝑧𝑧𝑖𝑖 𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 85 19 , , PUNCT american_scientific_journal-2734 85 20 𝛽𝛽,π›Όπ›Όβ„Ž,𝐢𝐢 𝛽𝛽,π›Όπ›Όβ„Ž,𝐢𝐢 PROPN american_scientific_journal-2734 85 21 ) ) PUNCT american_scientific_journal-2734 85 22 = = SYM american_scientific_journal-2734 85 23 οΏ½ οΏ½ PROPN american_scientific_journal-2734 85 24 οΏ½ οΏ½ PROPN american_scientific_journal-2734 85 25 1 1 NUM american_scientific_journal-2734 85 26 οΏ½ οΏ½ PROPN american_scientific_journal-2734 85 27 4πœ‹πœ‹π‘§π‘§π‘–π‘– 4πœ‹πœ‹π‘§π‘§π‘–π‘– NUM american_scientific_journal-2734 85 28 οΏ½ οΏ½ PROPN american_scientific_journal-2734 86 1 πΆπΆπ‘–π‘–β„Žπ‘›π‘› πΆπΆπ‘–π‘–β„Žπ‘›π‘› PROPN american_scientific_journal-2734 86 2 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 86 3 𝑒𝑒π‘₯π‘₯𝐸𝐸 𝑒𝑒π‘₯π‘₯𝐸𝐸 PROPN american_scientific_journal-2734 86 4 οΏ½ οΏ½ PROPN american_scientific_journal-2734 86 5 βˆ’ βˆ’ NOUN american_scientific_journal-2734 86 6 1 1 NUM american_scientific_journal-2734 86 7 2 2 NUM american_scientific_journal-2734 86 8 οΏ½ οΏ½ PROPN american_scientific_journal-2734 86 9 οΏ½ οΏ½ PROPN american_scientific_journal-2734 86 10 πΆπΆπ‘–π‘–β„Ž(𝑦𝑦 πΆπΆπ‘–π‘–β„Ž(𝑦𝑦 PROPN american_scientific_journal-2734 86 11 βˆ’ βˆ’ PROPN american_scientific_journal-2734 86 12 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž VERB american_scientific_journal-2734 86 13 βˆ’ βˆ’ PROPN american_scientific_journal-2734 86 14 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 NOUN american_scientific_journal-2734 86 15 βˆ’ βˆ’ NOUN american_scientific_journal-2734 86 16 ( ( PUNCT american_scientific_journal-2734 86 17 1 1 NUM american_scientific_journal-2734 86 18 βˆ’ βˆ’ NUM american_scientific_journal-2734 86 19 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 86 20 ) ) PUNCT american_scientific_journal-2734 86 21 2𝑧𝑧𝑖𝑖 2𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 86 22 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-2734 86 23 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 86 24 𝑛𝑛 𝑛𝑛 ADP american_scientific_journal-2734 86 25 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 86 26 οΏ½ οΏ½ PROPN american_scientific_journal-2734 86 27 𝐸𝐸(π›Όπ›Όβ„Ž 𝐸𝐸(π›Όπ›Όβ„Ž X american_scientific_journal-2734 86 28 ) ) PUNCT american_scientific_journal-2734 86 29 ∝ ∝ PROPN american_scientific_journal-2734 86 30 1 1 NUM american_scientific_journal-2734 86 31 𝑧𝑧𝑖𝑖~𝑒𝑒π‘₯π‘₯𝐸𝐸{πœƒπœƒβ„Ž(1 𝑧𝑧𝑖𝑖~𝑒𝑒π‘₯π‘₯𝐸𝐸{πœƒπœƒβ„Ž(1 VERB american_scientific_journal-2734 86 32 βˆ’ βˆ’ PROPN american_scientific_journal-2734 86 33 πœƒπœƒβ„Ž πœƒπœƒβ„Ž NOUN american_scientific_journal-2734 86 34 ) ) PUNCT american_scientific_journal-2734 86 35 } } PUNCT american_scientific_journal-2734 86 36 , , PUNCT american_scientific_journal-2734 86 37 american american ADJ american_scientific_journal-2734 86 38 scientific scientific ADJ american_scientific_journal-2734 86 39 research research NOUN american_scientific_journal-2734 86 40 journal journal NOUN american_scientific_journal-2734 86 41 for for ADP american_scientific_journal-2734 86 42 engineering engineering NOUN american_scientific_journal-2734 86 43 , , PUNCT american_scientific_journal-2734 86 44 technology technology NOUN american_scientific_journal-2734 86 45 , , PUNCT american_scientific_journal-2734 86 46 and and CCONJ american_scientific_journal-2734 86 47 sciences science NOUN american_scientific_journal-2734 86 48 ( ( PUNCT american_scientific_journal-2734 86 49 asrjets asrjet NOUN american_scientific_journal-2734 86 50 ) ) PUNCT american_scientific_journal-2734 86 51 ( ( PUNCT american_scientific_journal-2734 86 52 2017 2017 NUM american_scientific_journal-2734 86 53 ) ) PUNCT american_scientific_journal-2734 86 54 volume volume NOUN american_scientific_journal-2734 86 55 29 29 NUM american_scientific_journal-2734 86 56 , , PUNCT american_scientific_journal-2734 86 57 no no DET american_scientific_journal-2734 86 58 1 1 NUM american_scientific_journal-2734 86 59 , , PUNCT american_scientific_journal-2734 86 60 pp pp ADV american_scientific_journal-2734 86 61 138 138 NUM american_scientific_journal-2734 86 62 - - SYM american_scientific_journal-2734 86 63 152 152 NUM american_scientific_journal-2734 86 64 143 143 PRON american_scientific_journal-2734 86 65 𝛽𝛽𝑗𝑗|𝑠𝑠𝑗𝑗~π‘ˆπ‘ˆπ‘›π‘›π‘–π‘–π‘–π‘–π‘ˆπ‘ˆπ‘£π‘£π‘ˆπ‘ˆ 𝛽𝛽𝑗𝑗|𝑠𝑠𝑗𝑗~π‘ˆπ‘ˆπ‘›π‘›π‘–π‘–π‘–π‘–π‘ˆπ‘ˆπ‘£π‘£π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 86 66 οΏ½ οΏ½ PROPN american_scientific_journal-2734 86 67 βˆ’π‘ π‘ π‘—π‘— βˆ’π‘ π‘ π‘—π‘— PROPN american_scientific_journal-2734 86 68 , , PUNCT american_scientific_journal-2734 86 69 𝑠𝑠𝑗𝑗 𝑠𝑠𝑗𝑗 PROPN american_scientific_journal-2734 86 70 οΏ½ οΏ½ PROPN american_scientific_journal-2734 86 71 , , PUNCT american_scientific_journal-2734 86 72 𝑠𝑠𝑗𝑗|πœ†πœ† 𝑠𝑠𝑗𝑗|πœ†πœ† PROPN american_scientific_journal-2734 86 73 ~πΊπΊπ‘Žπ‘Žπ‘ˆπ‘ˆπ‘ˆπ‘ˆπ‘Žπ‘Ž(2 ~πΊπΊπ‘Žπ‘Žπ‘ˆπ‘ˆπ‘ˆπ‘ˆπ‘Žπ‘Ž(2 NOUN american_scientific_journal-2734 86 74 , , PUNCT american_scientific_journal-2734 86 75 πœ†πœ† πœ†πœ† NUM american_scientific_journal-2734 86 76 ) ) PUNCT american_scientific_journal-2734 86 77 , , PUNCT american_scientific_journal-2734 86 78 ( ( PUNCT american_scientific_journal-2734 86 79 14 14 NUM american_scientific_journal-2734 86 80 ) ) PUNCT american_scientific_journal-2734 86 81 πœ†πœ†~πœ†πœ†π‘Žπ‘Žβˆ’1𝑒𝑒π‘₯π‘₯𝐸𝐸(βˆ’π‘π‘πœ†πœ† πœ†πœ†~πœ†πœ†π‘Žπ‘Žβˆ’1𝑒𝑒π‘₯π‘₯𝐸𝐸(βˆ’π‘π‘πœ†πœ† NOUN american_scientific_journal-2734 86 82 ) ) PUNCT american_scientific_journal-2734 86 83 . . PUNCT american_scientific_journal-2734 87 1 where where SCONJ american_scientific_journal-2734 87 2 π‘Žπ‘Ž π‘Žπ‘Ž NOUN american_scientific_journal-2734 87 3 , , PUNCT american_scientific_journal-2734 87 4 𝑏𝑏 𝑏𝑏 NOUN american_scientific_journal-2734 87 5 are be AUX american_scientific_journal-2734 87 6 hyperparameter hyperparameter NOUN american_scientific_journal-2734 87 7 . . PUNCT american_scientific_journal-2734 88 1 2.2.1 2.2.1 NUM american_scientific_journal-2734 88 2 . . PUNCT american_scientific_journal-2734 88 3 posterior posterior ADJ american_scientific_journal-2734 88 4 computation computation NOUN american_scientific_journal-2734 88 5 inference inference NOUN american_scientific_journal-2734 88 6 the the DET american_scientific_journal-2734 88 7 bayesian bayesian NOUN american_scientific_journal-2734 88 8 theory theory NOUN american_scientific_journal-2734 88 9 is be AUX american_scientific_journal-2734 88 10 used use VERB american_scientific_journal-2734 88 11 for for ADP american_scientific_journal-2734 88 12 the the DET american_scientific_journal-2734 88 13 conditional conditional ADJ american_scientific_journal-2734 88 14 posterior posterior ADJ american_scientific_journal-2734 88 15 distribution distribution NOUN american_scientific_journal-2734 88 16 for for ADP american_scientific_journal-2734 88 17 the the DET american_scientific_journal-2734 88 18 parameters parameter NOUN american_scientific_journal-2734 88 19 of of ADP american_scientific_journal-2734 88 20 the the DET american_scientific_journal-2734 88 21 model model NOUN american_scientific_journal-2734 88 22 by by ADP american_scientific_journal-2734 88 23 combining combine VERB american_scientific_journal-2734 88 24 two two NUM american_scientific_journal-2734 88 25 different different ADJ american_scientific_journal-2734 88 26 sources source NOUN american_scientific_journal-2734 88 27 of of ADP american_scientific_journal-2734 88 28 information information NOUN american_scientific_journal-2734 88 29 . . PUNCT american_scientific_journal-2734 89 1 the the DET american_scientific_journal-2734 89 2 first first ADJ american_scientific_journal-2734 89 3 source source NOUN american_scientific_journal-2734 89 4 is be AUX american_scientific_journal-2734 89 5 the the DET american_scientific_journal-2734 89 6 likelihood likelihood NOUN american_scientific_journal-2734 89 7 function function NOUN american_scientific_journal-2734 89 8 of of ADP american_scientific_journal-2734 89 9 response response NOUN american_scientific_journal-2734 89 10 variable variable NOUN american_scientific_journal-2734 89 11 𝑦𝑦 𝑦𝑦 ADP american_scientific_journal-2734 89 12 in in ADP american_scientific_journal-2734 89 13 equation equation NOUN american_scientific_journal-2734 89 14 ( ( PUNCT american_scientific_journal-2734 89 15 10 10 NUM american_scientific_journal-2734 89 16 ) ) PUNCT american_scientific_journal-2734 89 17 and and CCONJ american_scientific_journal-2734 89 18 the the DET american_scientific_journal-2734 89 19 second second ADJ american_scientific_journal-2734 89 20 source source NOUN american_scientific_journal-2734 89 21 is be AUX american_scientific_journal-2734 89 22 a a DET american_scientific_journal-2734 89 23 set set NOUN american_scientific_journal-2734 89 24 of of ADP american_scientific_journal-2734 89 25 prior prior ADJ american_scientific_journal-2734 89 26 distributions distribution NOUN american_scientific_journal-2734 89 27 to to AUX american_scientific_journal-2734 89 28 model model NOUN american_scientific_journal-2734 89 29 parameters parameter NOUN american_scientific_journal-2734 89 30 in in ADP american_scientific_journal-2734 89 31 equation equation NOUN american_scientific_journal-2734 89 32 ( ( PUNCT american_scientific_journal-2734 89 33 14 14 NUM american_scientific_journal-2734 89 34 ) ) PUNCT american_scientific_journal-2734 89 35 . . PUNCT american_scientific_journal-2734 90 1 the the DET american_scientific_journal-2734 90 2 bayesian bayesian NOUN american_scientific_journal-2734 90 3 hierarchical hierarchical ADJ american_scientific_journal-2734 90 4 in in ADP american_scientific_journal-2734 90 5 ( ( PUNCT american_scientific_journal-2734 90 6 10 10 NUM american_scientific_journal-2734 90 7 ) ) PUNCT american_scientific_journal-2734 90 8 and and CCONJ american_scientific_journal-2734 90 9 ( ( PUNCT american_scientific_journal-2734 90 10 14 14 NUM american_scientific_journal-2734 90 11 ) ) PUNCT american_scientific_journal-2734 90 12 produces produce VERB american_scientific_journal-2734 90 13 posterior posterior ADJ american_scientific_journal-2734 90 14 distributions distribution NOUN american_scientific_journal-2734 90 15 οΏ½ οΏ½ PROPN american_scientific_journal-2734 90 16 π›Όπ›Όβ„Ž,𝛽𝛽 π›Όπ›Όβ„Ž,𝛽𝛽 NOUN american_scientific_journal-2734 90 17 , , PUNCT american_scientific_journal-2734 90 18 𝑧𝑧 𝑧𝑧 NOUN american_scientific_journal-2734 90 19 = = X american_scientific_journal-2734 90 20 ( ( PUNCT american_scientific_journal-2734 90 21 𝑧𝑧1 𝑧𝑧1 ADV american_scientific_journal-2734 90 22 , , PUNCT american_scientific_journal-2734 90 23 𝑧𝑧2 𝑧𝑧2 ADV american_scientific_journal-2734 90 24 , , PUNCT american_scientific_journal-2734 90 25 … … PUNCT american_scientific_journal-2734 90 26 . . PUNCT american_scientific_journal-2734 91 1 , , PUNCT american_scientific_journal-2734 91 2 𝑧𝑧𝑛𝑛)𝑇𝑇 𝑧𝑧𝑛𝑛)𝑇𝑇 NOUN american_scientific_journal-2734 91 3 , , PUNCT american_scientific_journal-2734 91 4 𝑠𝑠 𝑠𝑠 ADV american_scientific_journal-2734 91 5 = = X american_scientific_journal-2734 91 6 ( ( PUNCT american_scientific_journal-2734 91 7 𝑠𝑠1 𝑠𝑠1 PROPN american_scientific_journal-2734 91 8 , , PUNCT american_scientific_journal-2734 91 9 𝑠𝑠2 𝑠𝑠2 NOUN american_scientific_journal-2734 91 10 , , PUNCT american_scientific_journal-2734 91 11 … … PUNCT american_scientific_journal-2734 91 12 . . PUNCT american_scientific_journal-2734 92 1 , , PUNCT american_scientific_journal-2734 92 2 𝑠𝑠𝑒𝑒)𝑇𝑇 𝑠𝑠𝑒𝑒)𝑇𝑇 PROPN american_scientific_journal-2734 92 3 , , PUNCT american_scientific_journal-2734 92 4 πœ†πœ† πœ†πœ† NOUN american_scientific_journal-2734 92 5 π‘Žπ‘Žπ‘›π‘›π‘Žπ‘Ž π‘Žπ‘Žπ‘›π‘›π‘Žπ‘Ž ADJ american_scientific_journal-2734 92 6 𝐢𝐢 𝐢𝐢 PROPN american_scientific_journal-2734 92 7 οΏ½ οΏ½ PROPN american_scientific_journal-2734 92 8 . . PUNCT american_scientific_journal-2734 93 1 a a DET american_scientific_journal-2734 93 2 simple simple ADJ american_scientific_journal-2734 93 3 and and CCONJ american_scientific_journal-2734 93 4 efficient efficient ADJ american_scientific_journal-2734 93 5 gibbs gibbs PROPN american_scientific_journal-2734 93 6 sampler sampler NOUN american_scientific_journal-2734 93 7 algorithm algorithm NOUN american_scientific_journal-2734 93 8 is be AUX american_scientific_journal-2734 93 9 as as SCONJ american_scientific_journal-2734 93 10 follows follow VERB american_scientific_journal-2734 93 11 : : PUNCT american_scientific_journal-2734 93 12 updating update VERB american_scientific_journal-2734 93 13 𝑧𝑧𝑖𝑖 𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 93 14 -the -the PRON american_scientific_journal-2734 93 15 full full ADJ american_scientific_journal-2734 93 16 conditional conditional ADJ american_scientific_journal-2734 93 17 distribution distribution NOUN american_scientific_journal-2734 93 18 of of ADP american_scientific_journal-2734 93 19 each each DET american_scientific_journal-2734 93 20 𝑧𝑧𝑖𝑖 𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 93 21 foe foe VERB american_scientific_journal-2734 93 22 𝑖𝑖 𝑖𝑖 NOUN american_scientific_journal-2734 93 23 = = NOUN american_scientific_journal-2734 93 24 1,2 1,2 NUM american_scientific_journal-2734 93 25 , , PUNCT american_scientific_journal-2734 93 26 … … PUNCT american_scientific_journal-2734 93 27 … … PUNCT american_scientific_journal-2734 93 28 𝑛𝑛 𝑛𝑛 NOUN american_scientific_journal-2734 93 29 , , PUNCT american_scientific_journal-2734 93 30 𝐼𝐼𝑛𝑛𝑣𝑣𝐺𝐺(𝛿𝛿𝑖𝑖𝑇𝑇 𝐼𝐼𝑛𝑛𝑣𝑣𝐺𝐺(𝛿𝛿𝑖𝑖𝑇𝑇 ADJ american_scientific_journal-2734 93 31 , , PUNCT american_scientific_journal-2734 93 32 πœ‘πœ‘π‘–π‘–π‘‡π‘‡ πœ‘πœ‘π‘–π‘–π‘‡π‘‡ PROPN american_scientific_journal-2734 93 33 ) ) PUNCT american_scientific_journal-2734 93 34 , , PUNCT american_scientific_journal-2734 93 35 where where SCONJ american_scientific_journal-2734 93 36 πœ‘πœ‘π‘‡π‘‡ πœ‘πœ‘π‘‡π‘‡ NOUN american_scientific_journal-2734 93 37 = = SYM american_scientific_journal-2734 93 38 βˆ‘ βˆ‘ PUNCT american_scientific_journal-2734 93 39 π‘π‘π‘–π‘–β„Ž π‘π‘π‘–π‘–β„Ž ADJ american_scientific_journal-2734 93 40 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-2734 93 41 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 93 42 2 2 NUM american_scientific_journal-2734 93 43 and and CCONJ american_scientific_journal-2734 93 44 𝛿𝛿𝑖𝑖𝑇𝑇 𝛿𝛿𝑖𝑖𝑇𝑇 PROPN american_scientific_journal-2734 93 45 = = SYM american_scientific_journal-2734 93 46 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 47 βˆ‘ βˆ‘ PROPN american_scientific_journal-2734 93 48 π‘π‘π‘–π‘–β„Žπ»π» π‘π‘π‘–π‘–β„Žπ»π» PROPN american_scientific_journal-2734 93 49 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 93 50 2 2 NUM american_scientific_journal-2734 93 51 βˆ‘ βˆ‘ ADV american_scientific_journal-2734 93 52 π‘π‘π‘–π‘–β„Ž π‘π‘π‘–π‘–β„Ž X american_scientific_journal-2734 93 53 ( ( PUNCT american_scientific_journal-2734 93 54 𝑦𝑦𝑖𝑖 𝑦𝑦𝑖𝑖 NOUN american_scientific_journal-2734 93 55 βˆ’ βˆ’ NOUN american_scientific_journal-2734 93 56 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž VERB american_scientific_journal-2734 93 57 βˆ’ βˆ’ PROPN american_scientific_journal-2734 93 58 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽)2𝐻𝐻 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽)2𝐻𝐻 PROPN american_scientific_journal-2734 93 59 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 93 60 2 2 NUM american_scientific_journal-2734 93 61 = = SYM american_scientific_journal-2734 93 62 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 63 βˆ‘ βˆ‘ PROPN american_scientific_journal-2734 93 64 π‘π‘π‘–π‘–β„Žπ»π» π‘π‘π‘–π‘–β„Žπ»π» PROPN american_scientific_journal-2734 93 65 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 93 66 βˆ‘ βˆ‘ ADV american_scientific_journal-2734 93 67 π‘π‘π‘–π‘–β„Ž π‘π‘π‘–π‘–β„Ž X american_scientific_journal-2734 93 68 ( ( PUNCT american_scientific_journal-2734 93 69 𝑦𝑦𝑖𝑖 𝑦𝑦𝑖𝑖 NOUN american_scientific_journal-2734 93 70 βˆ’ βˆ’ NOUN american_scientific_journal-2734 93 71 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž VERB american_scientific_journal-2734 93 72 βˆ’ βˆ’ PROPN american_scientific_journal-2734 93 73 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽)2𝐻𝐻 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽)2𝐻𝐻 PROPN american_scientific_journal-2734 93 74 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 93 75 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 76 updating update VERB american_scientific_journal-2734 93 77 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž AUX american_scientific_journal-2734 93 78 the the DET american_scientific_journal-2734 93 79 full full ADJ american_scientific_journal-2734 93 80 conditional conditional ADJ american_scientific_journal-2734 93 81 distribution distribution NOUN american_scientific_journal-2734 93 82 of of ADP american_scientific_journal-2734 93 83 each each DET american_scientific_journal-2734 93 84 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž VERB american_scientific_journal-2734 93 85 foe foe VERB american_scientific_journal-2734 93 86 β„Ž β„Ž X american_scientific_journal-2734 93 87 = = SYM american_scientific_journal-2734 93 88 1,2 1,2 NUM american_scientific_journal-2734 93 89 , , PUNCT american_scientific_journal-2734 93 90 … … PUNCT american_scientific_journal-2734 93 91 … … PUNCT american_scientific_journal-2734 93 92 𝐻𝐻 𝐻𝐻 ADJ american_scientific_journal-2734 93 93 , , PUNCT american_scientific_journal-2734 93 94 𝑖𝑖𝑠𝑠 𝑖𝑖𝑠𝑠 NOUN american_scientific_journal-2734 93 95 𝑁𝑁(𝛼𝛼 𝑁𝑁(𝛼𝛼 NOUN american_scientific_journal-2734 93 96 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 97 β„Ž,𝜎𝜎 β„Ž,𝜎𝜎 NOUN american_scientific_journal-2734 93 98 οΏ½ οΏ½ NOUN american_scientific_journal-2734 93 99 β„Ž2 β„Ž2 NOUN american_scientific_journal-2734 93 100 ) ) PUNCT american_scientific_journal-2734 93 101 , , PUNCT american_scientific_journal-2734 93 102 𝛼𝛼 𝛼𝛼 ADP american_scientific_journal-2734 93 103 οΏ½ οΏ½ ADP american_scientific_journal-2734 93 104 β„Ž β„Ž ADP american_scientific_journal-2734 93 105 = = SYM american_scientific_journal-2734 93 106 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 107 𝜎𝜎 𝜎𝜎 NOUN american_scientific_journal-2734 93 108 οΏ½ οΏ½ NOUN american_scientific_journal-2734 93 109 β„Ž β„Ž ADP american_scientific_journal-2734 93 110 2 2 NUM american_scientific_journal-2734 93 111 βˆ‘ βˆ‘ NOUN american_scientific_journal-2734 93 112 π‘π‘π‘–π‘–β„Ž π‘π‘π‘–π‘–β„Ž NOUN american_scientific_journal-2734 93 113 [ [ X american_scientific_journal-2734 93 114 𝑦𝑦𝑖𝑖 𝑦𝑦𝑖𝑖 NOUN american_scientific_journal-2734 93 115 βˆ’ βˆ’ NOUN american_scientific_journal-2734 93 116 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽 NOUN american_scientific_journal-2734 93 117 βˆ’ βˆ’ NOUN american_scientific_journal-2734 93 118 ( ( PUNCT american_scientific_journal-2734 93 119 1 1 NUM american_scientific_journal-2734 93 120 βˆ’ βˆ’ PRON american_scientific_journal-2734 93 121 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 93 122 ) ) PUNCT american_scientific_journal-2734 93 123 𝑛𝑛 𝑛𝑛 VERB american_scientific_journal-2734 93 124 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 93 125 2𝑧𝑧𝑖𝑖 2𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 93 126 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 127 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 128 , , PUNCT american_scientific_journal-2734 93 129 𝜎𝜎 𝜎𝜎 PART american_scientific_journal-2734 93 130 οΏ½ οΏ½ NOUN american_scientific_journal-2734 93 131 β„Ž2 β„Ž2 NOUN american_scientific_journal-2734 93 132 = = SYM american_scientific_journal-2734 93 133 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 134 βˆ‘ βˆ‘ PROPN american_scientific_journal-2734 93 135 π‘π‘π‘–π‘–β„Ž π‘π‘π‘–π‘–β„Ž NOUN american_scientific_journal-2734 93 136 𝑛𝑛 𝑛𝑛 NOUN american_scientific_journal-2734 93 137 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 93 138 2𝑧𝑧𝑖𝑖 2𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 93 139 οΏ½ οΏ½ NOUN american_scientific_journal-2734 93 140 βˆ’1 βˆ’1 NOUN american_scientific_journal-2734 93 141 updating update VERB american_scientific_journal-2734 93 142 𝛽𝛽𝑗𝑗 𝛽𝛽𝑗𝑗 NOUN american_scientific_journal-2734 93 143 the the DET american_scientific_journal-2734 93 144 full full ADJ american_scientific_journal-2734 93 145 conditional conditional ADJ american_scientific_journal-2734 93 146 distribution distribution NOUN american_scientific_journal-2734 93 147 of of ADP american_scientific_journal-2734 93 148 each each DET american_scientific_journal-2734 93 149 𝛽𝛽𝑗𝑗 𝛽𝛽𝑗𝑗 NOUN american_scientific_journal-2734 93 150 for for ADP american_scientific_journal-2734 93 151 𝑗𝑗 𝑗𝑗 ADP american_scientific_journal-2734 93 152 = = SYM american_scientific_journal-2734 93 153 1,2 1,2 NUM american_scientific_journal-2734 93 154 , , PUNCT american_scientific_journal-2734 93 155 … … PUNCT american_scientific_journal-2734 93 156 … … PUNCT american_scientific_journal-2734 93 157 π‘˜π‘˜ π‘˜π‘˜ NOUN american_scientific_journal-2734 93 158 , , PUNCT american_scientific_journal-2734 93 159 𝑖𝑖𝑠𝑠 𝑖𝑖𝑠𝑠 NOUN american_scientific_journal-2734 93 160 𝑁𝑁(𝛽𝛽 𝑁𝑁(𝛽𝛽 NUM american_scientific_journal-2734 93 161 οΏ½ οΏ½ NOUN american_scientific_journal-2734 93 162 𝑗𝑗 𝑗𝑗 NOUN american_scientific_journal-2734 93 163 , , PUNCT american_scientific_journal-2734 93 164 𝜎𝜎 𝜎𝜎 PROPN american_scientific_journal-2734 93 165 οΏ½ οΏ½ NOUN american_scientific_journal-2734 93 166 𝑗𝑗2 𝑗𝑗2 NOUN american_scientific_journal-2734 93 167 ) ) PUNCT american_scientific_journal-2734 93 168 , , PUNCT american_scientific_journal-2734 93 169 where where SCONJ american_scientific_journal-2734 93 170 : : PUNCT american_scientific_journal-2734 93 171 𝛽𝛽 𝛽𝛽 ADP american_scientific_journal-2734 93 172 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 173 𝑗𝑗 𝑗𝑗 NOUN american_scientific_journal-2734 93 174 = = SYM american_scientific_journal-2734 93 175 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 176 𝜎𝜎 𝜎𝜎 PROPN american_scientific_journal-2734 93 177 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 178 𝑗𝑗2 𝑗𝑗2 PROPN american_scientific_journal-2734 93 179 βˆ‘ βˆ‘ PROPN american_scientific_journal-2734 93 180 βˆ‘ βˆ‘ PUNCT american_scientific_journal-2734 93 181 π‘π‘π‘–π‘–β„Žπ‘₯π‘₯𝑖𝑖𝑗𝑗 π‘π‘π‘–π‘–β„Žπ‘₯π‘₯𝑖𝑖𝑗𝑗 NOUN american_scientific_journal-2734 93 182 οΏ½ οΏ½ NOUN american_scientific_journal-2734 93 183 𝑇𝑇𝑖𝑖 𝑇𝑇𝑖𝑖 PROPN american_scientific_journal-2734 93 184 βˆ’ βˆ’ PROPN american_scientific_journal-2734 93 185 π›Όπ›Όβ„Ž π›Όπ›Όβ„Ž AUX american_scientific_journal-2734 93 186 βˆ’ βˆ’ X american_scientific_journal-2734 93 187 ( ( PUNCT american_scientific_journal-2734 93 188 1 1 NUM american_scientific_journal-2734 93 189 βˆ’ βˆ’ PROPN american_scientific_journal-2734 93 190 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 93 191 βˆ’ βˆ’ NUM american_scientific_journal-2734 93 192 βˆ‘ βˆ‘ PUNCT american_scientific_journal-2734 93 193 π‘₯π‘₯𝑖𝑖𝑗𝑗𝑙𝑙≠𝑗𝑗 π‘₯π‘₯𝑖𝑖𝑗𝑗𝑙𝑙≠𝑗𝑗 ADJ american_scientific_journal-2734 93 194 𝛽𝛽𝑗𝑗 𝛽𝛽𝑗𝑗 ADJ american_scientific_journal-2734 93 195 οΏ½ οΏ½ NOUN american_scientific_journal-2734 93 196 𝐻𝐻 𝐻𝐻 ADJ american_scientific_journal-2734 93 197 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 93 198 𝑛𝑛 𝑛𝑛 ADP american_scientific_journal-2734 93 199 𝑖𝑖=1 𝑖𝑖=1 PROPN american_scientific_journal-2734 93 200 2𝑧𝑧𝑖𝑖 2𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 93 201 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 202 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 203 𝐼𝐼 𝐼𝐼 PROPN american_scientific_journal-2734 93 204 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 205 |𝛽𝛽𝑗𝑗| |𝛽𝛽𝑗𝑗| NOUN american_scientific_journal-2734 93 206 ≀ ≀ PROPN american_scientific_journal-2734 93 207 𝑠𝑠𝑗𝑗 𝑠𝑠𝑗𝑗 PROPN american_scientific_journal-2734 93 208 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 209 and and CCONJ american_scientific_journal-2734 93 210 𝜎𝜎 𝜎𝜎 PROPN american_scientific_journal-2734 93 211 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 212 𝑗𝑗2 𝑗𝑗2 NOUN american_scientific_journal-2734 93 213 = = SYM american_scientific_journal-2734 93 214 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 215 βˆ‘ βˆ‘ PUNCT american_scientific_journal-2734 93 216 βˆ‘ βˆ‘ ADP american_scientific_journal-2734 93 217 π‘π‘π‘–π‘–β„Žπ‘’π‘’π‘–π‘–π‘—π‘— π‘π‘π‘–π‘–β„Žπ‘’π‘’π‘–π‘–π‘—π‘— VERB american_scientific_journal-2734 93 218 2𝐻𝐻 2𝐻𝐻 NUM american_scientific_journal-2734 93 219 β„Ž=1 β„Ž=1 PROPN american_scientific_journal-2734 93 220 𝑛𝑛 𝑛𝑛 ADP american_scientific_journal-2734 93 221 𝑖𝑖=1 𝑖𝑖=1 ADP american_scientific_journal-2734 93 222 2𝑧𝑧𝑖𝑖 2𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 93 223 + + CCONJ american_scientific_journal-2734 93 224 π‘ π‘ π‘—π‘—βˆ’1 π‘ π‘ π‘—π‘—βˆ’1 PROPN american_scientific_journal-2734 93 225 οΏ½ οΏ½ PROPN american_scientific_journal-2734 93 226 βˆ’1 βˆ’1 NOUN american_scientific_journal-2734 93 227 . . PUNCT american_scientific_journal-2734 94 1 updating update VERB american_scientific_journal-2734 94 2 𝑠𝑠𝑗𝑗 𝑠𝑠𝑗𝑗 NOUN american_scientific_journal-2734 94 3 -the -the DET american_scientific_journal-2734 94 4 full full ADJ american_scientific_journal-2734 94 5 conditional conditional ADJ american_scientific_journal-2734 94 6 distribution distribution NOUN american_scientific_journal-2734 94 7 of of ADP american_scientific_journal-2734 94 8 𝑠𝑠𝑗𝑗 𝑠𝑠𝑗𝑗 PROPN american_scientific_journal-2734 94 9 is be AUX american_scientific_journal-2734 94 10 a a DET american_scientific_journal-2734 94 11 left left ADV american_scientific_journal-2734 94 12 - - PUNCT american_scientific_journal-2734 94 13 truncated truncate VERB american_scientific_journal-2734 94 14 exponential exponential ADJ american_scientific_journal-2734 94 15 distribution distribution NOUN american_scientific_journal-2734 94 16 given give VERB american_scientific_journal-2734 94 17 by by ADP american_scientific_journal-2734 94 18 american american ADJ american_scientific_journal-2734 94 19 scientific scientific PROPN american_scientific_journal-2734 94 20 research research PROPN american_scientific_journal-2734 94 21 journal journal NOUN american_scientific_journal-2734 94 22 for for ADP american_scientific_journal-2734 94 23 engineering engineering NOUN american_scientific_journal-2734 94 24 , , PUNCT american_scientific_journal-2734 94 25 technology technology NOUN american_scientific_journal-2734 94 26 , , PUNCT american_scientific_journal-2734 94 27 and and CCONJ american_scientific_journal-2734 94 28 sciences science NOUN american_scientific_journal-2734 94 29 ( ( PUNCT american_scientific_journal-2734 94 30 asrjets asrjet NOUN american_scientific_journal-2734 94 31 ) ) PUNCT american_scientific_journal-2734 94 32 ( ( PUNCT american_scientific_journal-2734 94 33 2017 2017 NUM american_scientific_journal-2734 94 34 ) ) PUNCT american_scientific_journal-2734 94 35 volume volume NOUN american_scientific_journal-2734 94 36 29 29 NUM american_scientific_journal-2734 94 37 , , PUNCT american_scientific_journal-2734 94 38 no no DET american_scientific_journal-2734 94 39 1 1 NUM american_scientific_journal-2734 94 40 , , PUNCT american_scientific_journal-2734 94 41 pp pp ADV american_scientific_journal-2734 94 42 138 138 NUM american_scientific_journal-2734 94 43 - - SYM american_scientific_journal-2734 94 44 152 152 NUM american_scientific_journal-2734 94 45 144 144 NUM american_scientific_journal-2734 94 46 𝑠𝑠𝑗𝑗~𝐸𝐸π‘₯π‘₯𝐸𝐸(πœ†πœ†)𝐼𝐼 𝑠𝑠𝑗𝑗~𝐸𝐸π‘₯π‘₯𝐸𝐸(πœ†πœ†)𝐼𝐼 PROPN american_scientific_journal-2734 94 47 οΏ½ οΏ½ PROPN american_scientific_journal-2734 94 48 𝑠𝑠𝑗𝑗 𝑠𝑠𝑗𝑗 PROPN american_scientific_journal-2734 94 49 > > X american_scientific_journal-2734 94 50 |𝛽𝛽𝑗𝑗| |𝛽𝛽𝑗𝑗| PROPN american_scientific_journal-2734 94 51 οΏ½ οΏ½ PROPN american_scientific_journal-2734 94 52 . . PUNCT american_scientific_journal-2734 95 1 for for ADP american_scientific_journal-2734 95 2 𝑗𝑗 𝑗𝑗 NOUN american_scientific_journal-2734 95 3 = = SYM american_scientific_journal-2734 95 4 1,2 1,2 NUM american_scientific_journal-2734 95 5 , , PUNCT american_scientific_journal-2734 95 6 … … PUNCT american_scientific_journal-2734 95 7 … … PUNCT american_scientific_journal-2734 95 8 π‘˜π‘˜ π‘˜π‘˜ NOUN american_scientific_journal-2734 95 9 , , PUNCT american_scientific_journal-2734 95 10 . . PUNCT american_scientific_journal-2734 96 1 updating update VERB american_scientific_journal-2734 96 2 𝑠𝑠𝑗𝑗 𝑠𝑠𝑗𝑗 NOUN american_scientific_journal-2734 96 3 can can AUX american_scientific_journal-2734 96 4 be be AUX american_scientific_journal-2734 96 5 done do VERB american_scientific_journal-2734 96 6 by by ADP american_scientific_journal-2734 96 7 using use VERB american_scientific_journal-2734 96 8 inversion inversion NOUN american_scientific_journal-2734 96 9 method method NOUN american_scientific_journal-2734 96 10 [ [ X american_scientific_journal-2734 96 11 19 19 NUM american_scientific_journal-2734 96 12 ] ] PUNCT american_scientific_journal-2734 96 13 as as SCONJ american_scientific_journal-2734 96 14 follows follow VERB american_scientific_journal-2734 96 15 : : PUNCT american_scientific_journal-2734 96 16 1 1 NUM american_scientific_journal-2734 96 17 - - PUNCT american_scientific_journal-2734 96 18 update update NOUN american_scientific_journal-2734 96 19 π‘ π‘ π‘—π‘—βˆ— π‘ π‘ π‘—π‘—βˆ— NOUN american_scientific_journal-2734 96 20 from from ADP american_scientific_journal-2734 96 21 𝐸𝐸π‘₯π‘₯𝐸𝐸(πœ†πœ† 𝐸𝐸π‘₯π‘₯𝐸𝐸(πœ†πœ† PROPN american_scientific_journal-2734 96 22 ) ) PUNCT american_scientific_journal-2734 96 23 2set 2set PROPN american_scientific_journal-2734 96 24 𝑠𝑠𝑗𝑗 𝑠𝑠𝑗𝑗 NOUN american_scientific_journal-2734 96 25 = = SYM american_scientific_journal-2734 96 26 π‘ π‘ π‘—π‘—βˆ— π‘ π‘ π‘—π‘—βˆ— PROPN american_scientific_journal-2734 96 27 + + CCONJ american_scientific_journal-2734 96 28 |𝛽𝛽𝑗𝑗| |𝛽𝛽𝑗𝑗| NOUN american_scientific_journal-2734 96 29 . . PUNCT american_scientific_journal-2734 97 1 updating update VERB american_scientific_journal-2734 97 2 πœ†πœ†π‘—π‘— πœ†πœ†π‘—π‘— VERB american_scientific_journal-2734 97 3 the the DET american_scientific_journal-2734 97 4 full full ADJ american_scientific_journal-2734 97 5 conditional conditional ADJ american_scientific_journal-2734 97 6 distribution distribution NOUN american_scientific_journal-2734 97 7 of of ADP american_scientific_journal-2734 97 8 each each DET american_scientific_journal-2734 97 9 πœ†πœ†π‘—π‘— πœ†πœ†π‘—π‘— NOUN american_scientific_journal-2734 97 10 for for ADP american_scientific_journal-2734 97 11 𝑗𝑗 𝑗𝑗 NOUN american_scientific_journal-2734 97 12 = = SYM american_scientific_journal-2734 97 13 1,2 1,2 NUM american_scientific_journal-2734 97 14 , , PUNCT american_scientific_journal-2734 97 15 … … PUNCT american_scientific_journal-2734 97 16 … … PUNCT american_scientific_journal-2734 97 17 π‘˜π‘˜,.is π‘˜π‘˜,.is NUM american_scientific_journal-2734 97 18 gamma gamma PROPN american_scientific_journal-2734 97 19 οΏ½ οΏ½ PROPN american_scientific_journal-2734 97 20 π‘Žπ‘Ž π‘Žπ‘Ž NOUN american_scientific_journal-2734 97 21 + + X american_scientific_journal-2734 97 22 2π‘˜π‘˜ 2π‘˜π‘˜ NOUN american_scientific_journal-2734 97 23 , , PUNCT american_scientific_journal-2734 97 24 𝑏𝑏 𝑏𝑏 PRON american_scientific_journal-2734 97 25 + + CCONJ american_scientific_journal-2734 97 26 βˆ‘ βˆ‘ PROPN american_scientific_journal-2734 97 27 |𝛽𝛽𝑗𝑗|π‘˜π‘˜ |𝛽𝛽𝑗𝑗|π‘˜π‘˜ PROPN american_scientific_journal-2734 97 28 𝑗𝑗=1 𝑗𝑗=1 PROPN american_scientific_journal-2734 97 29 οΏ½ οΏ½ PROPN american_scientific_journal-2734 97 30 . . PUNCT american_scientific_journal-2734 98 1 updating update VERB american_scientific_journal-2734 98 2 𝐢𝐢 𝐢𝐢 NOUN american_scientific_journal-2734 98 3 the the DET american_scientific_journal-2734 98 4 full full ADJ american_scientific_journal-2734 98 5 conditional conditional ADJ american_scientific_journal-2734 98 6 distribution distribution NOUN american_scientific_journal-2734 98 7 of of ADP american_scientific_journal-2734 98 8 each each DET american_scientific_journal-2734 98 9 𝐢𝐢𝑖𝑖 𝐢𝐢𝑖𝑖 PROPN american_scientific_journal-2734 98 10 = = PUNCT american_scientific_journal-2734 98 11 ( ( PUNCT american_scientific_journal-2734 98 12 𝐢𝐢𝑖𝑖1,𝐢𝐢𝑖𝑖2 𝐢𝐢𝑖𝑖1,𝐢𝐢𝑖𝑖2 ADJ american_scientific_journal-2734 98 13 , , PUNCT american_scientific_journal-2734 98 14 , , PUNCT american_scientific_journal-2734 98 15 πΆπΆπ‘–π‘–β„Ž)𝑇𝑇 πΆπΆπ‘–π‘–β„Ž)𝑇𝑇 ADV american_scientific_journal-2734 98 16 is be AUX american_scientific_journal-2734 98 17 multinomial multinomial ADJ american_scientific_journal-2734 98 18 distribution distribution NOUN american_scientific_journal-2734 98 19 with with ADP american_scientific_journal-2734 98 20 οΏ½ οΏ½ NOUN american_scientific_journal-2734 98 21 Μ‚ Μ‚ NOUN american_scientific_journal-2734 98 22 οΏ½ οΏ½ NOUN american_scientific_journal-2734 98 23 πΈβ„Ž πΈβ„Ž NOUN american_scientific_journal-2734 98 24 = = SYM american_scientific_journal-2734 98 25 exp exp X american_scientific_journal-2734 98 26 ⎝ ⎝ PUNCT american_scientific_journal-2734 98 27 ⎜ ⎜ PROPN american_scientific_journal-2734 98 28 βŽ›βˆ’ βŽ›βˆ’ PROPN american_scientific_journal-2734 98 29 οΏ½ οΏ½ PROPN american_scientific_journal-2734 98 30 π‘¦π‘¦π‘–π‘–βˆ’π›Όπ›Όβ„Žβˆ’π‘’π‘’π‘–π‘– π‘¦π‘¦π‘–π‘–βˆ’π›Όπ›Όβ„Žβˆ’π‘’π‘’π‘–π‘– PROPN american_scientific_journal-2734 98 31 π‘‡π‘‡π›½π›½βˆ’(1βˆ’2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 π‘‡π‘‡π›½π›½βˆ’(1βˆ’2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 98 32 οΏ½ οΏ½ PROPN american_scientific_journal-2734 98 33 2 2 NUM american_scientific_journal-2734 98 34 4𝑧𝑧𝑖𝑖 4𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 98 35 οΏ½ οΏ½ NOUN american_scientific_journal-2734 98 36 ⎠ ⎠ NOUN american_scientific_journal-2734 98 37 ⎟ ⎟ X american_scientific_journal-2734 98 38 ⎞ ⎞ VERB american_scientific_journal-2734 98 39 βˆ‘ βˆ‘ PROPN american_scientific_journal-2734 98 40 exp exp PROPN american_scientific_journal-2734 98 41 ⎝ ⎝ PUNCT american_scientific_journal-2734 98 42 ⎜ ⎜ PROPN american_scientific_journal-2734 98 43 βŽ›βˆ’ βŽ›βˆ’ PROPN american_scientific_journal-2734 98 44 οΏ½ οΏ½ PROPN american_scientific_journal-2734 98 45 π‘¦π‘¦π‘–π‘–βˆ’π›Όπ›Όβ„Žβˆ’π‘’π‘’π‘–π‘– π‘¦π‘¦π‘–π‘–βˆ’π›Όπ›Όβ„Žβˆ’π‘’π‘’π‘–π‘– PROPN american_scientific_journal-2734 98 46 π‘‡π‘‡π›½π›½βˆ’(1βˆ’2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 π‘‡π‘‡π›½π›½βˆ’(1βˆ’2πœƒπœƒβ„Ž)𝑧𝑧𝑖𝑖 NOUN american_scientific_journal-2734 98 47 οΏ½ οΏ½ PROPN american_scientific_journal-2734 98 48 2 2 NUM american_scientific_journal-2734 98 49 4𝑧𝑧𝑖𝑖 4𝑧𝑧𝑖𝑖 NUM american_scientific_journal-2734 98 50 οΏ½ οΏ½ NOUN american_scientific_journal-2734 98 51 ⎠ ⎠ NOUN american_scientific_journal-2734 98 52 ⎟ ⎟ PROPN american_scientific_journal-2734 98 53 βŽžπ‘€π‘€ βŽžπ‘€π‘€ NOUN american_scientific_journal-2734 98 54 π‘šπ‘š=1 π‘šπ‘š=1 PROPN american_scientific_journal-2734 98 55 after after ADP american_scientific_journal-2734 98 56 updating update VERB american_scientific_journal-2734 98 57 the the DET american_scientific_journal-2734 98 58 model model NOUN american_scientific_journal-2734 98 59 parameters parameter NOUN american_scientific_journal-2734 98 60 as as ADP american_scientific_journal-2734 98 61 illustrated illustrate VERB american_scientific_journal-2734 98 62 above above ADV american_scientific_journal-2734 98 63 , , PUNCT american_scientific_journal-2734 98 64 an an DET american_scientific_journal-2734 98 65 efficient efficient ADJ american_scientific_journal-2734 98 66 gibbs gibbs PROPN american_scientific_journal-2734 98 67 sampler sampler NOUN american_scientific_journal-2734 98 68 results result NOUN american_scientific_journal-2734 98 69 for for ADP american_scientific_journal-2734 98 70 building building NOUN american_scientific_journal-2734 98 71 ( ( PUNCT american_scientific_journal-2734 98 72 mcmc mcmc PROPN american_scientific_journal-2734 98 73 ) ) PUNCT american_scientific_journal-2734 98 74 algorithm algorithm NOUN american_scientific_journal-2734 98 75 for for ADP american_scientific_journal-2734 98 76 parameters parameter NOUN american_scientific_journal-2734 98 77 estimation estimation NOUN american_scientific_journal-2734 98 78 [ [ X american_scientific_journal-2734 98 79 π›Όπ›Όβ„Ž,𝛽𝛽 π›Όπ›Όβ„Ž,𝛽𝛽 PROPN american_scientific_journal-2734 98 80 , , PUNCT american_scientific_journal-2734 98 81 𝑧𝑧 𝑧𝑧 ADP american_scientific_journal-2734 98 82 , , PUNCT american_scientific_journal-2734 98 83 𝑠𝑠 𝑠𝑠 ADP american_scientific_journal-2734 98 84 , , PUNCT american_scientific_journal-2734 98 85 πœ†πœ† πœ†πœ† NOUN american_scientific_journal-2734 98 86 π‘Žπ‘Žπ‘›π‘›π‘Žπ‘Ž π‘Žπ‘Žπ‘›π‘›π‘Žπ‘Ž ADJ american_scientific_journal-2734 98 87 𝐢𝐢 𝐢𝐢 PROPN american_scientific_journal-2734 98 88 ] ] PUNCT american_scientific_journal-2734 98 89 . . PUNCT american_scientific_journal-2734 99 1 our our PRON american_scientific_journal-2734 99 2 algorithm algorithm NOUN american_scientific_journal-2734 99 3 is be AUX american_scientific_journal-2734 99 4 run run VERB american_scientific_journal-2734 99 5 for for ADP american_scientific_journal-2734 99 6 11000 11000 NUM american_scientific_journal-2734 99 7 iterations iteration NOUN american_scientific_journal-2734 99 8 . . PUNCT american_scientific_journal-2734 100 1 the the DET american_scientific_journal-2734 100 2 first first ADJ american_scientific_journal-2734 100 3 1000 1000 NUM american_scientific_journal-2734 100 4 iterations iteration NOUN american_scientific_journal-2734 100 5 were be AUX american_scientific_journal-2734 100 6 discarded discard VERB american_scientific_journal-2734 100 7 as as ADP american_scientific_journal-2734 100 8 burn burn NOUN american_scientific_journal-2734 100 9 - - PUNCT american_scientific_journal-2734 100 10 in in ADP american_scientific_journal-2734 100 11 . . PUNCT american_scientific_journal-2734 101 1 3 3 X american_scientific_journal-2734 101 2 . . X american_scientific_journal-2734 101 3 simulation simulation NOUN american_scientific_journal-2734 101 4 studies study NOUN american_scientific_journal-2734 101 5 in in ADP american_scientific_journal-2734 101 6 this this DET american_scientific_journal-2734 101 7 section section NOUN american_scientific_journal-2734 101 8 , , PUNCT american_scientific_journal-2734 101 9 the the DET american_scientific_journal-2734 101 10 behavior behavior NOUN american_scientific_journal-2734 101 11 of of ADP american_scientific_journal-2734 101 12 our our PRON american_scientific_journal-2734 101 13 proposed propose VERB american_scientific_journal-2734 101 14 method method NOUN american_scientific_journal-2734 101 15 is be AUX american_scientific_journal-2734 101 16 assessed assess VERB american_scientific_journal-2734 101 17 by by ADP american_scientific_journal-2734 101 18 simulation simulation NOUN american_scientific_journal-2734 101 19 studies study NOUN american_scientific_journal-2734 101 20 . . PUNCT american_scientific_journal-2734 102 1 to to PART american_scientific_journal-2734 102 2 evaluate evaluate VERB american_scientific_journal-2734 102 3 our our PRON american_scientific_journal-2734 102 4 method method NOUN american_scientific_journal-2734 102 5 , , PUNCT american_scientific_journal-2734 102 6 a a DET american_scientific_journal-2734 102 7 comparison comparison NOUN american_scientific_journal-2734 102 8 is be AUX american_scientific_journal-2734 102 9 performed perform VERB american_scientific_journal-2734 102 10 , , PUNCT american_scientific_journal-2734 102 11 using use VERB american_scientific_journal-2734 102 12 a a DET american_scientific_journal-2734 102 13 set set NOUN american_scientific_journal-2734 102 14 of of ADP american_scientific_journal-2734 102 15 methods method NOUN american_scientific_journal-2734 102 16 : : PUNCT american_scientific_journal-2734 102 17 bayesian bayesian NOUN american_scientific_journal-2734 102 18 lasso lasso NOUN american_scientific_journal-2734 102 19 quantile quantile ADJ american_scientific_journal-2734 102 20 regression regression NOUN american_scientific_journal-2734 102 21 proposed propose VERB american_scientific_journal-2734 102 22 by by ADP american_scientific_journal-2734 102 23 [ [ X american_scientific_journal-2734 102 24 18 18 NUM american_scientific_journal-2734 102 25 ] ] PUNCT american_scientific_journal-2734 102 26 and and CCONJ american_scientific_journal-2734 102 27 classical classical ADJ american_scientific_journal-2734 102 28 frequentist frequentist NOUN american_scientific_journal-2734 102 29 approach approach NOUN american_scientific_journal-2734 102 30 using use VERB american_scientific_journal-2734 102 31 the the DET american_scientific_journal-2734 102 32 r r NOUN american_scientific_journal-2734 102 33 function function NOUN american_scientific_journal-2734 102 34 rq rq NOUN american_scientific_journal-2734 102 35 ( ( PUNCT american_scientific_journal-2734 102 36 ) ) PUNCT american_scientific_journal-2734 102 37 in in ADP american_scientific_journal-2734 102 38 the the DET american_scientific_journal-2734 102 39 r r NOUN american_scientific_journal-2734 102 40 package package NOUN american_scientific_journal-2734 102 41 quantreg quantreg NOUN american_scientific_journal-2734 102 42 . . PUNCT american_scientific_journal-2734 103 1 the the DET american_scientific_journal-2734 103 2 methods method NOUN american_scientific_journal-2734 103 3 are be AUX american_scientific_journal-2734 103 4 assessed assess VERB american_scientific_journal-2734 103 5 based base VERB american_scientific_journal-2734 103 6 on on ADP american_scientific_journal-2734 103 7 two two NUM american_scientific_journal-2734 103 8 criteria criterion NOUN american_scientific_journal-2734 103 9 median median NOUN american_scientific_journal-2734 103 10 of of ADP american_scientific_journal-2734 103 11 mean mean ADJ american_scientific_journal-2734 103 12 absolute absolute ADJ american_scientific_journal-2734 103 13 deviations deviation NOUN american_scientific_journal-2734 103 14 ( ( PUNCT american_scientific_journal-2734 103 15 mmad mmad NOUN american_scientific_journal-2734 103 16 ) ) PUNCT american_scientific_journal-2734 103 17 , , PUNCT american_scientific_journal-2734 103 18 where where SCONJ american_scientific_journal-2734 103 19 mmad mmad ADJ american_scientific_journal-2734 103 20 = = SYM american_scientific_journal-2734 103 21 median median ADJ american_scientific_journal-2734 103 22 mean mean PROPN american_scientific_journal-2734 103 23 οΏ½ οΏ½ PROPN american_scientific_journal-2734 103 24 οΏ½ οΏ½ PROPN american_scientific_journal-2734 103 25 π‘₯π‘₯π‘–π‘–π‘‡π‘‡π›½π›½πΈπΈπ‘ π‘ π‘‘π‘‘π‘–π‘–π‘šπ‘šπ‘Žπ‘Žπ‘‘π‘‘π‘’π‘’πΈπΈ π‘₯π‘₯π‘–π‘–π‘‡π‘‡π›½π›½πΈπΈπ‘ π‘ π‘‘π‘‘π‘–π‘–π‘šπ‘šπ‘Žπ‘Žπ‘‘π‘‘π‘’π‘’πΈπΈ NUM american_scientific_journal-2734 103 26 βˆ’ βˆ’ PROPN american_scientific_journal-2734 103 27 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽𝑑𝑑𝑑𝑑𝑑𝑑𝑒𝑒 π‘₯π‘₯𝑖𝑖𝑇𝑇𝛽𝛽𝑑𝑑𝑑𝑑𝑑𝑑𝑒𝑒 PROPN american_scientific_journal-2734 103 28 οΏ½ οΏ½ PROPN american_scientific_journal-2734 103 29 οΏ½ οΏ½ PROPN american_scientific_journal-2734 103 30 , , PUNCT american_scientific_journal-2734 103 31 and and CCONJ american_scientific_journal-2734 103 32 standard standard ADJ american_scientific_journal-2734 103 33 deviation deviation NOUN american_scientific_journal-2734 103 34 ( ( PUNCT american_scientific_journal-2734 103 35 sd sd NOUN american_scientific_journal-2734 103 36 ) ) PUNCT american_scientific_journal-2734 103 37 of of ADP american_scientific_journal-2734 103 38 the the DET american_scientific_journal-2734 103 39 mads mad NOUN american_scientific_journal-2734 103 40 . . PUNCT american_scientific_journal-2734 104 1 in in ADP american_scientific_journal-2734 104 2 this this DET american_scientific_journal-2734 104 3 approach approach NOUN american_scientific_journal-2734 104 4 , , PUNCT american_scientific_journal-2734 104 5 we we PRON american_scientific_journal-2734 104 6 chose choose VERB american_scientific_journal-2734 104 7 a a DET american_scientific_journal-2734 104 8 set set ADJ american_scientific_journal-2734 104 9 𝐻𝐻 𝐻𝐻 NOUN american_scientific_journal-2734 104 10 = = SYM american_scientific_journal-2734 104 11 3 3 NUM american_scientific_journal-2734 104 12 ( ( PUNCT american_scientific_journal-2734 104 13 three three NUM american_scientific_journal-2734 104 14 quantile quantile ADJ american_scientific_journal-2734 104 15 levels level NOUN american_scientific_journal-2734 104 16 , , PUNCT american_scientific_journal-2734 104 17 as as SCONJ american_scientific_journal-2734 104 18 follows follow VERB american_scientific_journal-2734 104 19 : : PUNCT american_scientific_journal-2734 104 20 πœƒπœƒ1 πœƒπœƒ1 NOUN american_scientific_journal-2734 104 21 = = PUNCT american_scientific_journal-2734 104 22 0.25 0.25 NUM american_scientific_journal-2734 104 23 is be AUX american_scientific_journal-2734 104 24 the the DET american_scientific_journal-2734 104 25 low low ADJ american_scientific_journal-2734 104 26 quantile quantile ADJ american_scientific_journal-2734 104 27 level level NOUN american_scientific_journal-2734 104 28 , , PUNCT american_scientific_journal-2734 104 29 πœƒπœƒ2 πœƒπœƒ2 X american_scientific_journal-2734 104 30 = = SYM american_scientific_journal-2734 104 31 0.55 0.55 NUM american_scientific_journal-2734 104 32 is be AUX american_scientific_journal-2734 104 33 the the DET american_scientific_journal-2734 104 34 middle middle ADJ american_scientific_journal-2734 104 35 quantile quantile ADJ american_scientific_journal-2734 104 36 level level NOUN american_scientific_journal-2734 104 37 and and CCONJ american_scientific_journal-2734 104 38 πœƒπœƒ3 πœƒπœƒ3 NOUN american_scientific_journal-2734 105 1 = = SYM american_scientific_journal-2734 105 2 0.85 0.85 NUM american_scientific_journal-2734 105 3 is be AUX american_scientific_journal-2734 105 4 the the DET american_scientific_journal-2734 105 5 high high ADJ american_scientific_journal-2734 105 6 quantile quantile ADJ american_scientific_journal-2734 105 7 level level NOUN american_scientific_journal-2734 105 8 ) ) PUNCT american_scientific_journal-2734 105 9 for for ADP american_scientific_journal-2734 105 10 each each DET american_scientific_journal-2734 105 11 simulation simulation NOUN american_scientific_journal-2734 105 12 study study NOUN american_scientific_journal-2734 105 13 . . PUNCT american_scientific_journal-2734 106 1 the the DET american_scientific_journal-2734 106 2 error error NOUN american_scientific_journal-2734 106 3 terms term NOUN american_scientific_journal-2734 106 4 generated generate VERB american_scientific_journal-2734 106 5 from from ADP american_scientific_journal-2734 106 6 four four NUM american_scientific_journal-2734 106 7 distributions distribution NOUN american_scientific_journal-2734 106 8 are be AUX american_scientific_journal-2734 106 9 standard standard ADJ american_scientific_journal-2734 106 10 normal normal ADJ american_scientific_journal-2734 106 11 distribution distribution NOUN american_scientific_journal-2734 106 12 𝑁𝑁(0,1 𝑁𝑁(0,1 NOUN american_scientific_journal-2734 106 13 ) ) PUNCT american_scientific_journal-2734 106 14 , , PUNCT american_scientific_journal-2734 106 15 πœ’πœ’(3 πœ’πœ’(3 NOUN american_scientific_journal-2734 106 16 ) ) PUNCT american_scientific_journal-2734 106 17 2 2 NUM american_scientific_journal-2734 106 18 distribution distribution NOUN american_scientific_journal-2734 106 19 with with ADP american_scientific_journal-2734 106 20 three three NUM american_scientific_journal-2734 106 21 degrees degree NOUN american_scientific_journal-2734 106 22 of of ADP american_scientific_journal-2734 106 23 freedom freedom NOUN american_scientific_journal-2734 106 24 mixture mixture NOUN american_scientific_journal-2734 106 25 normal normal ADJ american_scientific_journal-2734 106 26 distribution distribution NOUN american_scientific_journal-2734 106 27 𝑒𝑒𝑖𝑖~ 𝑒𝑒𝑖𝑖~ NOUN american_scientific_journal-2734 106 28 1 1 NUM american_scientific_journal-2734 106 29 2 2 NUM american_scientific_journal-2734 106 30 𝑁𝑁 𝑁𝑁 PROPN american_scientific_journal-2734 106 31 ( ( PUNCT american_scientific_journal-2734 106 32 0,1 0,1 NOUN american_scientific_journal-2734 106 33 ) ) PUNCT american_scientific_journal-2734 107 1 + + CCONJ american_scientific_journal-2734 107 2 1 1 NUM american_scientific_journal-2734 107 3 2 2 NUM american_scientific_journal-2734 107 4 𝑁𝑁(1,1 𝑁𝑁(1,1 NUM american_scientific_journal-2734 107 5 ) ) PUNCT american_scientific_journal-2734 107 6 and and CCONJ american_scientific_journal-2734 107 7 mixture mixture NOUN american_scientific_journal-2734 107 8 laplace laplace NOUN american_scientific_journal-2734 107 9 distribution distribution NOUN american_scientific_journal-2734 107 10 𝑒𝑒𝑖𝑖~ 𝑒𝑒𝑖𝑖~ NOUN american_scientific_journal-2734 107 11 1 1 NUM american_scientific_journal-2734 107 12 2 2 NUM american_scientific_journal-2734 107 13 πΏπΏπ‘Žπ‘ŽπΈπΈπΏπΏπ‘Žπ‘Žπ‘π‘π‘’π‘’ πΏπΏπ‘Žπ‘ŽπΈπΈπΏπΏπ‘Žπ‘Žπ‘π‘π‘’π‘’ NOUN american_scientific_journal-2734 107 14 ( ( PUNCT american_scientific_journal-2734 107 15 0,1 0,1 NOUN american_scientific_journal-2734 107 16 ) ) PUNCT american_scientific_journal-2734 107 17 + + CCONJ american_scientific_journal-2734 107 18 1 1 NUM american_scientific_journal-2734 107 19 2 2 NUM american_scientific_journal-2734 107 20 πΏπΏπ‘Žπ‘ŽπΈπΈπΏπΏπ‘Žπ‘Žπ‘π‘π‘’π‘’(1,1 πΏπΏπ‘Žπ‘ŽπΈπΈπΏπΏπ‘Žπ‘Žπ‘π‘π‘’π‘’(1,1 NOUN american_scientific_journal-2734 107 21 ) ) PUNCT american_scientific_journal-2734 107 22 . . PUNCT american_scientific_journal-2734 108 1 our our PRON american_scientific_journal-2734 108 2 algorithm algorithm NOUN american_scientific_journal-2734 108 3 is be AUX american_scientific_journal-2734 108 4 run run VERB american_scientific_journal-2734 108 5 11000 11000 NUM american_scientific_journal-2734 108 6 iterations iteration NOUN american_scientific_journal-2734 108 7 and and CCONJ american_scientific_journal-2734 108 8 the the DET american_scientific_journal-2734 108 9 first first ADJ american_scientific_journal-2734 108 10 1000 1000 NUM american_scientific_journal-2734 108 11 are be AUX american_scientific_journal-2734 108 12 discarded discard VERB american_scientific_journal-2734 108 13 as as ADP american_scientific_journal-2734 108 14 the the DET american_scientific_journal-2734 108 15 burn burn NOUN american_scientific_journal-2734 108 16 - - PUNCT american_scientific_journal-2734 108 17 in in ADP american_scientific_journal-2734 108 18 . . PUNCT american_scientific_journal-2734 109 1 to to PART american_scientific_journal-2734 109 2 assess assess VERB american_scientific_journal-2734 109 3 the the DET american_scientific_journal-2734 109 4 performance performance NOUN american_scientific_journal-2734 109 5 of of ADP american_scientific_journal-2734 109 6 our our PRON american_scientific_journal-2734 109 7 proposed propose VERB american_scientific_journal-2734 109 8 method method NOUN american_scientific_journal-2734 109 9 , , PUNCT american_scientific_journal-2734 109 10 we we PRON american_scientific_journal-2734 109 11 used use VERB american_scientific_journal-2734 109 12 three three NUM american_scientific_journal-2734 109 13 approaches approach NOUN american_scientific_journal-2734 109 14 . . PUNCT american_scientific_journal-2734 110 1 3.1 3.1 NUM american_scientific_journal-2734 110 2 the the DET american_scientific_journal-2734 110 3 first first ADJ american_scientific_journal-2734 110 4 approach approach NOUN american_scientific_journal-2734 110 5 american american PROPN american_scientific_journal-2734 110 6 scientific scientific ADJ american_scientific_journal-2734 110 7 research research NOUN american_scientific_journal-2734 110 8 journal journal NOUN american_scientific_journal-2734 110 9 for for ADP american_scientific_journal-2734 110 10 engineering engineering NOUN american_scientific_journal-2734 110 11 , , PUNCT american_scientific_journal-2734 110 12 technology technology NOUN american_scientific_journal-2734 110 13 , , PUNCT american_scientific_journal-2734 110 14 and and CCONJ american_scientific_journal-2734 110 15 sciences science NOUN american_scientific_journal-2734 110 16 ( ( PUNCT american_scientific_journal-2734 110 17 asrjets asrjet NOUN american_scientific_journal-2734 110 18 ) ) PUNCT american_scientific_journal-2734 110 19 ( ( PUNCT american_scientific_journal-2734 110 20 2017 2017 NUM american_scientific_journal-2734 110 21 ) ) PUNCT american_scientific_journal-2734 110 22 volume volume NOUN american_scientific_journal-2734 110 23 29 29 NUM american_scientific_journal-2734 110 24 , , PUNCT american_scientific_journal-2734 110 25 no no DET american_scientific_journal-2734 110 26 1 1 NUM american_scientific_journal-2734 110 27 , , PUNCT american_scientific_journal-2734 110 28 pp pp ADV american_scientific_journal-2734 110 29 138 138 NUM american_scientific_journal-2734 110 30 - - SYM american_scientific_journal-2734 110 31 152 152 NUM american_scientific_journal-2734 110 32 145 145 NUM american_scientific_journal-2734 110 33 in in ADP american_scientific_journal-2734 110 34 this this DET american_scientific_journal-2734 110 35 section section NOUN american_scientific_journal-2734 110 36 , , PUNCT american_scientific_journal-2734 110 37 the the DET american_scientific_journal-2734 110 38 simulated simulate VERB american_scientific_journal-2734 110 39 study study NOUN american_scientific_journal-2734 110 40 is be AUX american_scientific_journal-2734 110 41 done do VERB american_scientific_journal-2734 110 42 with with ADP american_scientific_journal-2734 110 43 a a DET american_scientific_journal-2734 110 44 very very ADV american_scientific_journal-2734 110 45 sparse sparse ADJ american_scientific_journal-2734 110 46 case case NOUN american_scientific_journal-2734 110 47 . . PUNCT american_scientific_journal-2734 111 1 this this PRON american_scientific_journal-2734 111 2 is be AUX american_scientific_journal-2734 111 3 clear clear ADJ american_scientific_journal-2734 111 4 from from ADP american_scientific_journal-2734 111 5 true true ADJ american_scientific_journal-2734 111 6 parameters parameter NOUN american_scientific_journal-2734 111 7 values value NOUN american_scientific_journal-2734 111 8 , , PUNCT american_scientific_journal-2734 111 9 𝛽𝛽 𝛽𝛽 ADP american_scientific_journal-2734 111 10 = = SYM american_scientific_journal-2734 111 11 ( ( PUNCT american_scientific_journal-2734 111 12 1,0,0,0,0,0,0,0)𝑇𝑇. 1,0,0,0,0,0,0,0)𝑇𝑇. NUM american_scientific_journal-2734 111 13 therefore therefore ADV american_scientific_journal-2734 111 14 , , PUNCT american_scientific_journal-2734 111 15 the the DET american_scientific_journal-2734 111 16 true true ADJ american_scientific_journal-2734 111 17 model model NOUN american_scientific_journal-2734 111 18 becomes become VERB american_scientific_journal-2734 111 19 as as SCONJ american_scientific_journal-2734 111 20 follows follow VERB american_scientific_journal-2734 111 21 : : PUNCT american_scientific_journal-2734 111 22 𝑦𝑦𝑖𝑖 𝑦𝑦𝑖𝑖 NOUN american_scientific_journal-2734 111 23 = = SYM american_scientific_journal-2734 111 24 0 0 PUNCT american_scientific_journal-2734 112 1 + + NUM american_scientific_journal-2734 112 2 π‘₯π‘₯1𝑖𝑖 π‘₯π‘₯1𝑖𝑖 NUM american_scientific_journal-2734 112 3 + + CCONJ american_scientific_journal-2734 112 4 𝑒𝑒𝑖𝑖 𝑒𝑒𝑖𝑖 NOUN american_scientific_journal-2734 112 5 , , PUNCT american_scientific_journal-2734 112 6 𝑖𝑖 𝑖𝑖 NOUN american_scientific_journal-2734 112 7 = = SYM american_scientific_journal-2734 112 8 1,2 1,2 NUM american_scientific_journal-2734 112 9 , , PUNCT american_scientific_journal-2734 112 10 … … PUNCT american_scientific_journal-2734 112 11 … … PUNCT american_scientific_journal-2734 112 12 . . PUNCT american_scientific_journal-2734 113 1 .100 .100 NUM american_scientific_journal-2734 113 2 we we PRON american_scientific_journal-2734 113 3 simulate simulate VERB american_scientific_journal-2734 113 4 eight eight NUM american_scientific_journal-2734 113 5 covariates covariate NOUN american_scientific_journal-2734 113 6 ( ( PUNCT american_scientific_journal-2734 113 7 π‘₯π‘₯1𝑖𝑖 π‘₯π‘₯1𝑖𝑖 NUM american_scientific_journal-2734 113 8 , , PUNCT american_scientific_journal-2734 113 9 π‘₯π‘₯2𝑖𝑖 π‘₯π‘₯2𝑖𝑖 NUM american_scientific_journal-2734 113 10 , , PUNCT american_scientific_journal-2734 113 11 π‘₯π‘₯3𝑖𝑖 π‘₯π‘₯3𝑖𝑖 NUM american_scientific_journal-2734 113 12 , , PUNCT american_scientific_journal-2734 113 13 π‘₯π‘₯4𝑖𝑖 π‘₯π‘₯4𝑖𝑖 NUM american_scientific_journal-2734 113 14 , , PUNCT american_scientific_journal-2734 113 15 π‘₯π‘₯5𝑖𝑖 π‘₯π‘₯5𝑖𝑖 NOUN american_scientific_journal-2734 113 16 , , PUNCT american_scientific_journal-2734 113 17 π‘₯π‘₯6𝑖𝑖 π‘₯π‘₯6𝑖𝑖 NUM american_scientific_journal-2734 113 18 , , PUNCT american_scientific_journal-2734 113 19 π‘₯π‘₯7𝑖𝑖 π‘₯π‘₯7𝑖𝑖 NUM american_scientific_journal-2734 113 20 , , PUNCT american_scientific_journal-2734 113 21 π‘₯π‘₯8𝑖𝑖 π‘₯π‘₯8𝑖𝑖 NOUN american_scientific_journal-2734 113 22 ) ) PUNCT american_scientific_journal-2734 113 23 from from ADP american_scientific_journal-2734 113 24 a a DET american_scientific_journal-2734 113 25 multivariate multivariate NOUN american_scientific_journal-2734 113 26 normal normal ADJ american_scientific_journal-2734 113 27 distribution distribution NOUN american_scientific_journal-2734 113 28 𝑋𝑋~𝑁𝑁8(πœ‡πœ‡ 𝑋𝑋~𝑁𝑁8(πœ‡πœ‡ PROPN american_scientific_journal-2734 113 29 , , PUNCT american_scientific_journal-2734 113 30 Οƒ Οƒ PROPN american_scientific_journal-2734 113 31 ) ) PUNCT american_scientific_journal-2734 113 32 , , PUNCT american_scientific_journal-2734 113 33 where where SCONJ american_scientific_journal-2734 113 34 πœ‡πœ‡ πœ‡πœ‡ NOUN american_scientific_journal-2734 113 35 is be AUX american_scientific_journal-2734 113 36 mean mean VERB american_scientific_journal-2734 113 37 vector vector NOUN american_scientific_journal-2734 113 38 πœ‡πœ‡ πœ‡πœ‡ ADP american_scientific_journal-2734 113 39 πœ–πœ– πœ–πœ– NOUN american_scientific_journal-2734 113 40 𝑅𝑅𝑛𝑛 𝑅𝑅𝑛𝑛 PROPN american_scientific_journal-2734 113 41 and and CCONJ american_scientific_journal-2734 113 42 Οƒ Οƒ PROPN american_scientific_journal-2734 113 43 is be AUX american_scientific_journal-2734 113 44 covariance covariance NOUN american_scientific_journal-2734 113 45 matrix matrix NOUN american_scientific_journal-2734 113 46 with with ADP american_scientific_journal-2734 113 47 ( ( PUNCT american_scientific_journal-2734 113 48 σ𝑒𝑒)𝑖𝑖𝑗𝑗 σ𝑒𝑒)𝑖𝑖𝑗𝑗 PROPN american_scientific_journal-2734 113 49 = = SYM american_scientific_journal-2734 113 50 ( ( PUNCT american_scientific_journal-2734 113 51 2βˆ’1)|π‘–π‘–βˆ’π‘—π‘—| 2βˆ’1)|π‘–π‘–βˆ’π‘—π‘—| NUM american_scientific_journal-2734 113 52 . . NOUN american_scientific_journal-2734 114 1 3.2 3.2 NUM american_scientific_journal-2734 115 1 the the DET american_scientific_journal-2734 115 2 second second ADJ american_scientific_journal-2734 115 3 approach approach NOUN american_scientific_journal-2734 115 4 the the DET american_scientific_journal-2734 115 5 simulated simulate VERB american_scientific_journal-2734 115 6 study study NOUN american_scientific_journal-2734 115 7 is be AUX american_scientific_journal-2734 115 8 done do VERB american_scientific_journal-2734 115 9 with with ADP american_scientific_journal-2734 115 10 a a DET american_scientific_journal-2734 115 11 very very ADV american_scientific_journal-2734 115 12 dense dense ADJ american_scientific_journal-2734 115 13 case case NOUN american_scientific_journal-2734 115 14 . . PUNCT american_scientific_journal-2734 116 1 this this PRON american_scientific_journal-2734 116 2 is be AUX american_scientific_journal-2734 116 3 obvious obvious ADJ american_scientific_journal-2734 116 4 from from ADP american_scientific_journal-2734 116 5 true true ADJ american_scientific_journal-2734 116 6 parameters parameter NOUN american_scientific_journal-2734 116 7 values value NOUN american_scientific_journal-2734 116 8 𝛽𝛽 𝛽𝛽 ADP american_scientific_journal-2734 116 9 = = SYM american_scientific_journal-2734 116 10 ( ( PUNCT american_scientific_journal-2734 116 11 0.85 0.85 NUM american_scientific_journal-2734 116 12 , , PUNCT american_scientific_journal-2734 116 13 0.85 0.85 NUM american_scientific_journal-2734 116 14 , , PUNCT american_scientific_journal-2734 116 15 0.85 0.85 NUM american_scientific_journal-2734 116 16 , , PUNCT american_scientific_journal-2734 116 17 0.85 0.85 NUM american_scientific_journal-2734 116 18 , , PUNCT american_scientific_journal-2734 116 19 0.85 0.85 NUM american_scientific_journal-2734 116 20 , , PUNCT american_scientific_journal-2734 116 21 0.85 0.85 NUM american_scientific_journal-2734 116 22 , , PUNCT american_scientific_journal-2734 116 23 0.85 0.85 NUM american_scientific_journal-2734 116 24 , , PUNCT american_scientific_journal-2734 116 25 0.85)𝑇𝑇. 0.85)𝑇𝑇. NUM american_scientific_journal-2734 116 26 therefore therefore ADV american_scientific_journal-2734 116 27 , , PUNCT american_scientific_journal-2734 116 28 the the DET american_scientific_journal-2734 116 29 true true ADJ american_scientific_journal-2734 116 30 model model NOUN american_scientific_journal-2734 116 31 becomes become VERB american_scientific_journal-2734 116 32 as as SCONJ american_scientific_journal-2734 116 33 follows follow VERB american_scientific_journal-2734 116 34 : : PUNCT american_scientific_journal-2734 116 35 𝑦𝑦𝑖𝑖 𝑦𝑦𝑖𝑖 NOUN american_scientific_journal-2734 116 36 = = PUNCT american_scientific_journal-2734 116 37 0.85π‘₯π‘₯1𝑖𝑖 0.85π‘₯π‘₯1𝑖𝑖 PROPN american_scientific_journal-2734 117 1 + + CCONJ american_scientific_journal-2734 117 2 0.85π‘₯π‘₯1𝑖𝑖 0.85π‘₯π‘₯1𝑖𝑖 NUM american_scientific_journal-2734 118 1 + + CCONJ american_scientific_journal-2734 118 2 0.85π‘₯π‘₯2𝑖𝑖 0.85π‘₯π‘₯2𝑖𝑖 PUNCT american_scientific_journal-2734 119 1 + + CCONJ american_scientific_journal-2734 119 2 0.85π‘₯π‘₯3𝑖𝑖 0.85π‘₯π‘₯3𝑖𝑖 NUM american_scientific_journal-2734 120 1 + + CCONJ american_scientific_journal-2734 120 2 0.85π‘₯π‘₯4𝑖𝑖 0.85π‘₯π‘₯4𝑖𝑖 PROPN american_scientific_journal-2734 121 1 + + CCONJ american_scientific_journal-2734 121 2 0.85π‘₯π‘₯5𝑖𝑖 0.85π‘₯π‘₯5𝑖𝑖 NUM american_scientific_journal-2734 122 1 + + CCONJ american_scientific_journal-2734 122 2 0.85π‘₯π‘₯6𝑖𝑖 0.85π‘₯π‘₯6𝑖𝑖 NUM american_scientific_journal-2734 122 3 + + NUM american_scientific_journal-2734 122 4 0.85π‘₯π‘₯7𝑖𝑖 0.85π‘₯π‘₯7𝑖𝑖 NUM american_scientific_journal-2734 123 1 + + CCONJ american_scientific_journal-2734 123 2 0.85π‘₯π‘₯7𝑖𝑖 0.85π‘₯π‘₯7𝑖𝑖 NOUN american_scientific_journal-2734 123 3 + + CCONJ american_scientific_journal-2734 123 4 𝑒𝑒𝑖𝑖 𝑒𝑒𝑖𝑖 NOUN american_scientific_journal-2734 123 5 , , PUNCT american_scientific_journal-2734 123 6 𝑖𝑖 𝑖𝑖 NOUN american_scientific_journal-2734 123 7 = = SYM american_scientific_journal-2734 123 8 1,2 1,2 NUM american_scientific_journal-2734 123 9 , , PUNCT american_scientific_journal-2734 123 10 … … PUNCT american_scientific_journal-2734 123 11 … … PUNCT american_scientific_journal-2734 123 12 . . PUNCT american_scientific_journal-2734 124 1 .100 .100 NUM american_scientific_journal-2734 124 2 we we PRON american_scientific_journal-2734 124 3 simulated simulate VERB american_scientific_journal-2734 124 4 eight eight NUM american_scientific_journal-2734 124 5 covariates covariate NOUN american_scientific_journal-2734 124 6 ( ( PUNCT american_scientific_journal-2734 124 7 π‘₯π‘₯1𝑖𝑖 π‘₯π‘₯1𝑖𝑖 NUM american_scientific_journal-2734 124 8 , , PUNCT american_scientific_journal-2734 124 9 π‘₯π‘₯2𝑖𝑖 π‘₯π‘₯2𝑖𝑖 NUM american_scientific_journal-2734 124 10 , , PUNCT american_scientific_journal-2734 124 11 π‘₯π‘₯3𝑖𝑖 π‘₯π‘₯3𝑖𝑖 NUM american_scientific_journal-2734 124 12 , , PUNCT american_scientific_journal-2734 124 13 π‘₯π‘₯4𝑖𝑖 π‘₯π‘₯4𝑖𝑖 NUM american_scientific_journal-2734 124 14 , , PUNCT american_scientific_journal-2734 124 15 π‘₯π‘₯5𝑖𝑖 π‘₯π‘₯5𝑖𝑖 NOUN american_scientific_journal-2734 124 16 , , PUNCT american_scientific_journal-2734 124 17 π‘₯π‘₯6𝑖𝑖 π‘₯π‘₯6𝑖𝑖 NUM american_scientific_journal-2734 124 18 , , PUNCT american_scientific_journal-2734 124 19 π‘₯π‘₯7𝑖𝑖 π‘₯π‘₯7𝑖𝑖 NUM american_scientific_journal-2734 124 20 , , PUNCT american_scientific_journal-2734 124 21 π‘₯π‘₯8𝑖𝑖 π‘₯π‘₯8𝑖𝑖 NOUN american_scientific_journal-2734 124 22 ) ) PUNCT american_scientific_journal-2734 124 23 from from ADP american_scientific_journal-2734 124 24 a a DET american_scientific_journal-2734 124 25 multivariate multivariate NOUN american_scientific_journal-2734 124 26 normal normal ADJ american_scientific_journal-2734 124 27 distribution distribution NOUN american_scientific_journal-2734 124 28 𝑋𝑋~𝑁𝑁8(πœ‡πœ‡ 𝑋𝑋~𝑁𝑁8(πœ‡πœ‡ PROPN american_scientific_journal-2734 124 29 , , PUNCT american_scientific_journal-2734 124 30 Οƒ Οƒ PROPN american_scientific_journal-2734 124 31 ) ) PUNCT american_scientific_journal-2734 124 32 , , PUNCT american_scientific_journal-2734 124 33 where where SCONJ american_scientific_journal-2734 124 34 πœ‡πœ‡ πœ‡πœ‡ NOUN american_scientific_journal-2734 124 35 is be AUX american_scientific_journal-2734 124 36 mean mean VERB american_scientific_journal-2734 124 37 vector vector NOUN american_scientific_journal-2734 124 38 πœ‡πœ‡ πœ‡πœ‡ ADP american_scientific_journal-2734 124 39 πœ–πœ– πœ–πœ– NOUN american_scientific_journal-2734 124 40 𝑅𝑅𝑛𝑛 𝑅𝑅𝑛𝑛 PROPN american_scientific_journal-2734 124 41 and and CCONJ american_scientific_journal-2734 124 42 Οƒ Οƒ PROPN american_scientific_journal-2734 124 43 is be AUX american_scientific_journal-2734 124 44 covariance covariance NOUN american_scientific_journal-2734 124 45 matrix matrix NOUN american_scientific_journal-2734 124 46 with with ADP american_scientific_journal-2734 124 47 ( ( PUNCT american_scientific_journal-2734 124 48 σ𝑒𝑒)𝑖𝑖𝑗𝑗 σ𝑒𝑒)𝑖𝑖𝑗𝑗 PROPN american_scientific_journal-2734 124 49 = = SYM american_scientific_journal-2734 124 50 ( ( PUNCT american_scientific_journal-2734 124 51 2βˆ’1)|π‘–π‘–βˆ’π‘—π‘—| 2βˆ’1)|π‘–π‘–βˆ’π‘—π‘—| NUM american_scientific_journal-2734 124 52 . . PUNCT american_scientific_journal-2734 125 1 3.3 3.3 NUM american_scientific_journal-2734 126 1 the the DET american_scientific_journal-2734 126 2 third third ADJ american_scientific_journal-2734 126 3 approach approach NOUN american_scientific_journal-2734 126 4 the the DET american_scientific_journal-2734 126 5 simulated simulate VERB american_scientific_journal-2734 126 6 study study NOUN american_scientific_journal-2734 126 7 is be AUX american_scientific_journal-2734 126 8 done do VERB american_scientific_journal-2734 126 9 with with ADP american_scientific_journal-2734 126 10 group group NOUN american_scientific_journal-2734 126 11 structures structure NOUN american_scientific_journal-2734 126 12 . . PUNCT american_scientific_journal-2734 127 1 this this PRON american_scientific_journal-2734 127 2 is be AUX american_scientific_journal-2734 127 3 obvious obvious ADJ american_scientific_journal-2734 127 4 from from ADP american_scientific_journal-2734 127 5 true true ADJ american_scientific_journal-2734 127 6 parameters parameter NOUN american_scientific_journal-2734 127 7 values value NOUN american_scientific_journal-2734 127 8 𝛽𝛽 𝛽𝛽 ADP american_scientific_journal-2734 127 9 = = X american_scientific_journal-2734 128 1 [ [ X american_scientific_journal-2734 128 2 ( ( PUNCT american_scientific_journal-2734 128 3 0,0,0 0,0,0 NOUN american_scientific_journal-2734 128 4 ) ) PUNCT american_scientific_journal-2734 128 5 , , PUNCT american_scientific_journal-2734 128 6 ( ( PUNCT american_scientific_journal-2734 128 7 2,2,2 2,2,2 NUM american_scientific_journal-2734 128 8 ) ) PUNCT american_scientific_journal-2734 128 9 , , PUNCT american_scientific_journal-2734 128 10 ( ( PUNCT american_scientific_journal-2734 128 11 0,0,0 0,0,0 NOUN american_scientific_journal-2734 128 12 ) ) PUNCT american_scientific_journal-2734 128 13 , , PUNCT american_scientific_journal-2734 128 14 ( ( PUNCT american_scientific_journal-2734 128 15 2,2,2 2,2,2 NUM american_scientific_journal-2734 128 16 ) ) PUNCT american_scientific_journal-2734 128 17 , , PUNCT american_scientific_journal-2734 128 18 ( ( PUNCT american_scientific_journal-2734 128 19 0,0,0)]𝑇𝑇. 0,0,0)]𝑇𝑇. X american_scientific_journal-2734 128 20 therefore therefore ADV american_scientific_journal-2734 128 21 , , PUNCT american_scientific_journal-2734 128 22 the the DET american_scientific_journal-2734 128 23 true true ADJ american_scientific_journal-2734 128 24 model model NOUN american_scientific_journal-2734 128 25 takes take VERB american_scientific_journal-2734 128 26 the the DET american_scientific_journal-2734 128 27 formula formula NOUN american_scientific_journal-2734 128 28 below below ADP american_scientific_journal-2734 128 29 : : PUNCT american_scientific_journal-2734 128 30 𝑦𝑦𝑖𝑖 𝑦𝑦𝑖𝑖 NOUN american_scientific_journal-2734 129 1 = = PUNCT american_scientific_journal-2734 129 2 2π‘₯π‘₯4𝑖𝑖 2π‘₯π‘₯4𝑖𝑖 NUM american_scientific_journal-2734 129 3 + + NUM american_scientific_journal-2734 129 4 2π‘₯π‘₯5𝑖𝑖 2π‘₯π‘₯5𝑖𝑖 NUM american_scientific_journal-2734 130 1 + + NUM american_scientific_journal-2734 130 2 2π‘₯π‘₯6𝑖𝑖 2π‘₯π‘₯6𝑖𝑖 NUM american_scientific_journal-2734 130 3 + + CCONJ american_scientific_journal-2734 130 4 2π‘₯π‘₯10𝑖𝑖 2π‘₯π‘₯10𝑖𝑖 NUM american_scientific_journal-2734 131 1 + + NUM american_scientific_journal-2734 131 2 2π‘₯π‘₯11𝑖𝑖 2π‘₯π‘₯11𝑖𝑖 NUM american_scientific_journal-2734 131 3 + + SYM american_scientific_journal-2734 131 4 2π‘₯π‘₯12𝑖𝑖 2π‘₯π‘₯12𝑖𝑖 NUM american_scientific_journal-2734 131 5 + + CCONJ american_scientific_journal-2734 131 6 𝑒𝑒𝑖𝑖 𝑒𝑒𝑖𝑖 NOUN american_scientific_journal-2734 131 7 , , PUNCT american_scientific_journal-2734 131 8 𝑖𝑖 𝑖𝑖 NOUN american_scientific_journal-2734 131 9 = = SYM american_scientific_journal-2734 131 10 1,2 1,2 NUM american_scientific_journal-2734 131 11 , , PUNCT american_scientific_journal-2734 131 12 … … PUNCT american_scientific_journal-2734 131 13 … … PUNCT american_scientific_journal-2734 131 14 . . PUNCT american_scientific_journal-2734 132 1 .100 .100 NUM american_scientific_journal-2734 132 2 where where SCONJ american_scientific_journal-2734 132 3 the the DET american_scientific_journal-2734 132 4 covariates covariate NOUN american_scientific_journal-2734 132 5 are be AUX american_scientific_journal-2734 132 6 simulated simulate VERB american_scientific_journal-2734 132 7 . . PUNCT american_scientific_journal-2734 133 1 π‘₯π‘₯1𝑖𝑖 π‘₯π‘₯1𝑖𝑖 NUM american_scientific_journal-2734 133 2 , , PUNCT american_scientific_journal-2734 133 3 π‘₯π‘₯2𝑖𝑖 π‘₯π‘₯2𝑖𝑖 NUM american_scientific_journal-2734 133 4 , , PUNCT american_scientific_journal-2734 133 5 π‘₯π‘₯3𝑖𝑖 π‘₯π‘₯3𝑖𝑖 NUM american_scientific_journal-2734 133 6 , , PUNCT american_scientific_journal-2734 133 7 π‘₯π‘₯4𝑖𝑖 π‘₯π‘₯4𝑖𝑖 NUM american_scientific_journal-2734 133 8 , , PUNCT american_scientific_journal-2734 133 9 π‘₯π‘₯5𝑖𝑖 π‘₯π‘₯5𝑖𝑖 NOUN american_scientific_journal-2734 133 10 , , PUNCT american_scientific_journal-2734 133 11 π‘₯π‘₯6𝑖𝑖 π‘₯π‘₯6𝑖𝑖 NUM american_scientific_journal-2734 133 12 , , PUNCT american_scientific_journal-2734 133 13 π‘₯π‘₯7𝑖𝑖 π‘₯π‘₯7𝑖𝑖 NOUN american_scientific_journal-2734 133 14 , , PUNCT american_scientific_journal-2734 133 15 π‘₯π‘₯8𝑖𝑖,π‘₯π‘₯9𝑖𝑖,π‘₯π‘₯10𝑖𝑖,π‘₯π‘₯11𝑖𝑖,π‘₯π‘₯12𝑖𝑖,π‘₯π‘₯13𝑖𝑖,π‘₯π‘₯14𝑖𝑖,π‘₯π‘₯15𝑖𝑖 π‘₯π‘₯8𝑖𝑖,π‘₯π‘₯9𝑖𝑖,π‘₯π‘₯10𝑖𝑖,π‘₯π‘₯11𝑖𝑖,π‘₯π‘₯12𝑖𝑖,π‘₯π‘₯13𝑖𝑖,π‘₯π‘₯14𝑖𝑖,π‘₯π‘₯15𝑖𝑖 PROPN american_scientific_journal-2734 133 16 ) ) PUNCT american_scientific_journal-2734 133 17 according accord VERB american_scientific_journal-2734 133 18 to to ADP american_scientific_journal-2734 133 19 a a DET american_scientific_journal-2734 133 20 multivariate multivariate NOUN american_scientific_journal-2734 133 21 gaussian gaussian ADJ american_scientific_journal-2734 133 22 distribution distribution NOUN american_scientific_journal-2734 133 23 𝑋𝑋~𝑁𝑁15(πœ‡πœ‡ 𝑋𝑋~𝑁𝑁15(πœ‡πœ‡ NOUN american_scientific_journal-2734 133 24 , , PUNCT american_scientific_journal-2734 133 25 Οƒ Οƒ PROPN american_scientific_journal-2734 133 26 ) ) PUNCT american_scientific_journal-2734 133 27 , , PUNCT american_scientific_journal-2734 133 28 where where SCONJ american_scientific_journal-2734 133 29 πœ‡πœ‡ πœ‡πœ‡ NOUN american_scientific_journal-2734 133 30 is be AUX american_scientific_journal-2734 133 31 mean mean VERB american_scientific_journal-2734 133 32 vector vector NOUN american_scientific_journal-2734 133 33 πœ‡πœ‡ πœ‡πœ‡ ADP american_scientific_journal-2734 133 34 πœ–πœ– πœ–πœ– NOUN american_scientific_journal-2734 133 35 𝑅𝑅𝑛𝑛 𝑅𝑅𝑛𝑛 PROPN american_scientific_journal-2734 133 36 and and CCONJ american_scientific_journal-2734 133 37 Οƒ Οƒ PROPN american_scientific_journal-2734 133 38 is be AUX american_scientific_journal-2734 133 39 covariance covariance NOUN american_scientific_journal-2734 133 40 matrix matrix NOUN american_scientific_journal-2734 133 41 with with ADP american_scientific_journal-2734 133 42 ( ( PUNCT american_scientific_journal-2734 133 43 σ𝑒𝑒)𝑖𝑖𝑗𝑗 σ𝑒𝑒)𝑖𝑖𝑗𝑗 PROPN american_scientific_journal-2734 133 44 = = SYM american_scientific_journal-2734 133 45 ( ( PUNCT american_scientific_journal-2734 133 46 2βˆ’1)|π‘–π‘–βˆ’π‘—π‘—| 2βˆ’1)|π‘–π‘–βˆ’π‘—π‘—| NUM american_scientific_journal-2734 133 47 . . PUNCT american_scientific_journal-2734 133 48 table table NOUN american_scientific_journal-2734 133 49 1 1 NUM american_scientific_journal-2734 133 50 shows show VERB american_scientific_journal-2734 133 51 the the DET american_scientific_journal-2734 133 52 results result NOUN american_scientific_journal-2734 133 53 of of ADP american_scientific_journal-2734 133 54 ( ( PUNCT american_scientific_journal-2734 133 55 mmad mmad NOUN american_scientific_journal-2734 133 56 ) ) PUNCT american_scientific_journal-2734 133 57 and and CCONJ american_scientific_journal-2734 133 58 ( ( PUNCT american_scientific_journal-2734 133 59 sd sd NOUN american_scientific_journal-2734 133 60 ) ) PUNCT american_scientific_journal-2734 133 61 averaged average VERB american_scientific_journal-2734 133 62 over over ADP american_scientific_journal-2734 133 63 100 100 NUM american_scientific_journal-2734 133 64 independent independent ADJ american_scientific_journal-2734 133 65 simulations simulation NOUN american_scientific_journal-2734 133 66 for for ADP american_scientific_journal-2734 133 67 the the DET american_scientific_journal-2734 133 68 three three NUM american_scientific_journal-2734 133 69 methods method NOUN american_scientific_journal-2734 133 70 under under ADP american_scientific_journal-2734 133 71 comparison comparison NOUN american_scientific_journal-2734 133 72 , , PUNCT american_scientific_journal-2734 133 73 via via ADP american_scientific_journal-2734 133 74 three three NUM american_scientific_journal-2734 133 75 quantile quantile ADJ american_scientific_journal-2734 133 76 levels level NOUN american_scientific_journal-2734 133 77 . . PUNCT american_scientific_journal-2734 134 1 the the DET american_scientific_journal-2734 134 2 method method NOUN american_scientific_journal-2734 134 3 proposed propose VERB american_scientific_journal-2734 134 4 ( ( PUNCT american_scientific_journal-2734 134 5 the the DET american_scientific_journal-2734 134 6 new new ADJ american_scientific_journal-2734 134 7 lasso lasso NOUN american_scientific_journal-2734 134 8 cq cq NOUN american_scientific_journal-2734 134 9 reg reg NOUN american_scientific_journal-2734 134 10 ) ) PUNCT american_scientific_journal-2734 134 11 displays display VERB american_scientific_journal-2734 134 12 better well ADJ american_scientific_journal-2734 134 13 results result NOUN american_scientific_journal-2734 134 14 than than ADP american_scientific_journal-2734 134 15 the the DET american_scientific_journal-2734 134 16 rq rq NOUN american_scientific_journal-2734 134 17 and and CCONJ american_scientific_journal-2734 134 18 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 134 19 𝑁𝑁 𝑁𝑁 PROPN american_scientific_journal-2734 134 20 methods method NOUN american_scientific_journal-2734 134 21 , , PUNCT american_scientific_journal-2734 134 22 as as SCONJ american_scientific_journal-2734 134 23 can can AUX american_scientific_journal-2734 134 24 be be AUX american_scientific_journal-2734 134 25 seen see VERB american_scientific_journal-2734 134 26 in in ADP american_scientific_journal-2734 134 27 table table NOUN american_scientific_journal-2734 134 28 1 1 NUM american_scientific_journal-2734 134 29 . . PUNCT american_scientific_journal-2734 135 1 in in ADP american_scientific_journal-2734 135 2 case case NOUN american_scientific_journal-2734 135 3 of of ADP american_scientific_journal-2734 135 4 mmad mmad NOUN american_scientific_journal-2734 135 5 , , PUNCT american_scientific_journal-2734 135 6 for for ADP american_scientific_journal-2734 135 7 all all DET american_scientific_journal-2734 135 8 considered consider VERB american_scientific_journal-2734 135 9 distributions distribution NOUN american_scientific_journal-2734 135 10 , , PUNCT american_scientific_journal-2734 135 11 the the DET american_scientific_journal-2734 135 12 values value NOUN american_scientific_journal-2734 135 13 are be AUX american_scientific_journal-2734 135 14 much much ADV american_scientific_journal-2734 135 15 smaller small ADJ american_scientific_journal-2734 135 16 when when SCONJ american_scientific_journal-2734 135 17 new new ADJ american_scientific_journal-2734 135 18 lasso lasso NOUN american_scientific_journal-2734 135 19 cq cq ADP american_scientific_journal-2734 135 20 reg reg NOUN american_scientific_journal-2734 135 21 in in ADP american_scientific_journal-2734 135 22 employed employ VERB american_scientific_journal-2734 135 23 , , PUNCT american_scientific_journal-2734 135 24 compared compare VERB american_scientific_journal-2734 135 25 to to PART american_scientific_journal-2734 135 26 rq rq VERB american_scientific_journal-2734 135 27 and and CCONJ american_scientific_journal-2734 135 28 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 135 29 𝑁𝑁 𝑁𝑁 PROPN american_scientific_journal-2734 135 30 methods method NOUN american_scientific_journal-2734 135 31 . . PUNCT american_scientific_journal-2734 136 1 in in ADP american_scientific_journal-2734 136 2 case case NOUN american_scientific_journal-2734 136 3 of of ADP american_scientific_journal-2734 136 4 sd sd NOUN american_scientific_journal-2734 136 5 , , PUNCT american_scientific_journal-2734 136 6 the the DET american_scientific_journal-2734 136 7 values value NOUN american_scientific_journal-2734 136 8 are be AUX american_scientific_journal-2734 136 9 also also ADV american_scientific_journal-2734 136 10 smaller small ADJ american_scientific_journal-2734 136 11 than than ADP american_scientific_journal-2734 136 12 for for ADP american_scientific_journal-2734 136 13 the the DET american_scientific_journal-2734 136 14 other other ADJ american_scientific_journal-2734 136 15 two two NUM american_scientific_journal-2734 136 16 methods method NOUN american_scientific_journal-2734 136 17 , , PUNCT american_scientific_journal-2734 136 18 for for ADP american_scientific_journal-2734 136 19 different different ADJ american_scientific_journal-2734 136 20 distributions distribution NOUN american_scientific_journal-2734 136 21 . . PUNCT american_scientific_journal-2734 137 1 taking take VERB american_scientific_journal-2734 137 2 into into ADP american_scientific_journal-2734 137 3 consideration consideration NOUN american_scientific_journal-2734 137 4 these these DET american_scientific_journal-2734 137 5 aspects aspect NOUN american_scientific_journal-2734 137 6 , , PUNCT american_scientific_journal-2734 137 7 the the DET american_scientific_journal-2734 137 8 new new ADJ american_scientific_journal-2734 137 9 lasso lasso NOUN american_scientific_journal-2734 137 10 cq cq ADP american_scientific_journal-2734 137 11 reg reg PROPN american_scientific_journal-2734 137 12 has have VERB american_scientific_journal-2734 137 13 superior superior ADJ american_scientific_journal-2734 137 14 performance performance NOUN american_scientific_journal-2734 137 15 compared compare VERB american_scientific_journal-2734 137 16 to to ADP american_scientific_journal-2734 137 17 the the DET american_scientific_journal-2734 137 18 other other ADJ american_scientific_journal-2734 137 19 two two NUM american_scientific_journal-2734 137 20 american american ADJ american_scientific_journal-2734 137 21 scientific scientific ADJ american_scientific_journal-2734 137 22 research research NOUN american_scientific_journal-2734 137 23 journal journal NOUN american_scientific_journal-2734 137 24 for for ADP american_scientific_journal-2734 137 25 engineering engineering NOUN american_scientific_journal-2734 137 26 , , PUNCT american_scientific_journal-2734 137 27 technology technology NOUN american_scientific_journal-2734 137 28 , , PUNCT american_scientific_journal-2734 137 29 and and CCONJ american_scientific_journal-2734 137 30 sciences science NOUN american_scientific_journal-2734 137 31 ( ( PUNCT american_scientific_journal-2734 137 32 asrjets asrjet NOUN american_scientific_journal-2734 137 33 ) ) PUNCT american_scientific_journal-2734 137 34 ( ( PUNCT american_scientific_journal-2734 137 35 2017 2017 NUM american_scientific_journal-2734 137 36 ) ) PUNCT american_scientific_journal-2734 137 37 volume volume NOUN american_scientific_journal-2734 137 38 29 29 NUM american_scientific_journal-2734 137 39 , , PUNCT american_scientific_journal-2734 137 40 no no DET american_scientific_journal-2734 137 41 1 1 NUM american_scientific_journal-2734 137 42 , , PUNCT american_scientific_journal-2734 137 43 pp pp ADV american_scientific_journal-2734 137 44 138 138 NUM american_scientific_journal-2734 137 45 - - SYM american_scientific_journal-2734 137 46 152 152 NUM american_scientific_journal-2734 137 47 146 146 NUM american_scientific_journal-2734 137 48 methods method NOUN american_scientific_journal-2734 137 49 under under ADP american_scientific_journal-2734 137 50 test test NOUN american_scientific_journal-2734 137 51 . . PUNCT american_scientific_journal-2734 138 1 table table NOUN american_scientific_journal-2734 138 2 1 1 NUM american_scientific_journal-2734 138 3 : : PUNCT american_scientific_journal-2734 138 4 summary summary NOUN american_scientific_journal-2734 138 5 of of ADP american_scientific_journal-2734 138 6 mmad mmad NOUN american_scientific_journal-2734 138 7 and and CCONJ american_scientific_journal-2734 138 8 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 NOUN american_scientific_journal-2734 138 9 values value NOUN american_scientific_journal-2734 138 10 . . PUNCT american_scientific_journal-2734 139 1 the the DET american_scientific_journal-2734 139 2 results result NOUN american_scientific_journal-2734 139 3 are be AUX american_scientific_journal-2734 139 4 averaged average VERB american_scientific_journal-2734 139 5 over over ADP american_scientific_journal-2734 139 6 one one NUM american_scientific_journal-2734 139 7 hundred hundred NUM american_scientific_journal-2734 139 8 simulated simulated ADJ american_scientific_journal-2734 139 9 data datum NOUN american_scientific_journal-2734 139 10 set set VERB american_scientific_journal-2734 139 11 for for ADP american_scientific_journal-2734 139 12 the the DET american_scientific_journal-2734 139 13 methods method NOUN american_scientific_journal-2734 139 14 under under ADP american_scientific_journal-2734 139 15 comparison comparison NOUN american_scientific_journal-2734 139 16 . . PUNCT american_scientific_journal-2734 140 1 error error NOUN american_scientific_journal-2734 140 2 distributions distribution NOUN american_scientific_journal-2734 140 3 methods method NOUN american_scientific_journal-2734 140 4 𝑁𝑁(0,1 𝑁𝑁(0,1 NOUN american_scientific_journal-2734 140 5 ) ) PUNCT american_scientific_journal-2734 140 6 πœ’πœ’(3 πœ’πœ’(3 PROPN american_scientific_journal-2734 140 7 ) ) PUNCT american_scientific_journal-2734 140 8 2 2 NUM american_scientific_journal-2734 140 9 normal normal ADJ american_scientific_journal-2734 140 10 mixture mixture NOUN american_scientific_journal-2734 140 11 laplace laplace NOUN american_scientific_journal-2734 140 12 mixture mixture NOUN american_scientific_journal-2734 140 13 first first ADJ american_scientific_journal-2734 140 14 approach approach NOUN american_scientific_journal-2734 140 15 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 NOUN american_scientific_journal-2734 141 1 = = NUM american_scientific_journal-2734 141 2 0.25 0.25 NUM american_scientific_journal-2734 141 3 1.929 1.929 NUM american_scientific_journal-2734 141 4 ( ( PUNCT american_scientific_journal-2734 141 5 0.870 0.870 NUM american_scientific_journal-2734 141 6 ) ) PUNCT american_scientific_journal-2734 141 7 2.776(0.345 2.776(0.345 NUM american_scientific_journal-2734 141 8 ) ) PUNCT american_scientific_journal-2734 141 9 2.513 2.513 NUM american_scientific_journal-2734 141 10 ( ( PUNCT american_scientific_journal-2734 141 11 0.663 0.663 NUM american_scientific_journal-2734 141 12 ) ) PUNCT american_scientific_journal-2734 141 13 2.067(1.013 2.067(1.013 NUM american_scientific_journal-2734 141 14 ) ) PUNCT american_scientific_journal-2734 141 15 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 X american_scientific_journal-2734 142 1 = = PUNCT american_scientific_journal-2734 142 2 0.55 0.55 NUM american_scientific_journal-2734 142 3 2.160(0.588 2.160(0.588 NUM american_scientific_journal-2734 142 4 ) ) PUNCT american_scientific_journal-2734 142 5 3.154(0.264 3.154(0.264 NUM american_scientific_journal-2734 142 6 ) ) PUNCT american_scientific_journal-2734 142 7 2.614 2.614 NUM american_scientific_journal-2734 142 8 ( ( PUNCT american_scientific_journal-2734 142 9 0.566 0.566 NUM american_scientific_journal-2734 142 10 ) ) PUNCT american_scientific_journal-2734 142 11 2.218(0.891 2.218(0.891 NUM american_scientific_journal-2734 142 12 ) ) PUNCT american_scientific_journal-2734 142 13 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 NOUN american_scientific_journal-2734 143 1 = = SYM american_scientific_journal-2734 144 1 0.85 0.85 NUM american_scientific_journal-2734 144 2 2.513(0.661 2.513(0.661 NUM american_scientific_journal-2734 144 3 ) ) PUNCT american_scientific_journal-2734 144 4 3.744(0.428 3.744(0.428 NUM american_scientific_journal-2734 144 5 ) ) PUNCT american_scientific_journal-2734 144 6 2.959 2.959 NUM american_scientific_journal-2734 144 7 ( ( PUNCT american_scientific_journal-2734 144 8 0.510 0.510 NUM american_scientific_journal-2734 144 9 ) ) PUNCT american_scientific_journal-2734 144 10 2.678(0.772 2.678(0.772 NUM american_scientific_journal-2734 144 11 ) ) PUNCT american_scientific_journal-2734 144 12 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 144 13 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 ADJ american_scientific_journal-2734 144 14 = = PUNCT american_scientific_journal-2734 144 15 0.25 0.25 NUM american_scientific_journal-2734 144 16 1.411(0.599 1.411(0.599 NUM american_scientific_journal-2734 144 17 ) ) PUNCT american_scientific_journal-2734 144 18 2.113(0.343 2.113(0.343 NOUN american_scientific_journal-2734 144 19 ) ) PUNCT american_scientific_journal-2734 144 20 1.847 1.847 NUM american_scientific_journal-2734 144 21 ( ( PUNCT american_scientific_journal-2734 144 22 0.483 0.483 NUM american_scientific_journal-2734 144 23 ) ) PUNCT american_scientific_journal-2734 144 24 1.476(0.821 1.476(0.821 NUM american_scientific_journal-2734 144 25 ) ) PUNCT american_scientific_journal-2734 144 26 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 144 27 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 144 28 = = PROPN american_scientific_journal-2734 144 29 0.55 0.55 NUM american_scientific_journal-2734 144 30 1.932(0.606 1.932(0.606 NUM american_scientific_journal-2734 144 31 ) ) PUNCT american_scientific_journal-2734 144 32 2.933(0.375 2.933(0.375 NUM american_scientific_journal-2734 144 33 ) ) PUNCT american_scientific_journal-2734 144 34 2.434 2.434 NUM american_scientific_journal-2734 144 35 ( ( PUNCT american_scientific_journal-2734 144 36 0.474 0.474 NUM american_scientific_journal-2734 144 37 ) ) PUNCT american_scientific_journal-2734 144 38 2.031(0.781 2.031(0.781 NUM american_scientific_journal-2734 144 39 ) ) PUNCT american_scientific_journal-2734 144 40 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 144 41 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 ADJ american_scientific_journal-2734 144 42 = = PUNCT american_scientific_journal-2734 144 43 0.85 0.85 NUM american_scientific_journal-2734 144 44 2.415 2.415 NUM american_scientific_journal-2734 144 45 ( ( PUNCT american_scientific_journal-2734 144 46 0.626 0.626 NUM american_scientific_journal-2734 144 47 ) ) PUNCT american_scientific_journal-2734 144 48 3.653(0.414 3.653(0.414 NUM american_scientific_journal-2734 144 49 ) ) PUNCT american_scientific_journal-2734 144 50 2.889 2.889 NUM american_scientific_journal-2734 144 51 ( ( PUNCT american_scientific_journal-2734 144 52 0.442 0.442 NUM american_scientific_journal-2734 144 53 ) ) PUNCT american_scientific_journal-2734 144 54 2.483 2.483 NUM american_scientific_journal-2734 144 55 ( ( PUNCT american_scientific_journal-2734 144 56 0.758 0.758 NUM american_scientific_journal-2734 144 57 ) ) PUNCT american_scientific_journal-2734 144 58 new new ADJ american_scientific_journal-2734 144 59 lasso lasso NOUN american_scientific_journal-2734 144 60 cq cq ADP american_scientific_journal-2734 144 61 reg reg PROPN american_scientific_journal-2734 144 62 0.902(0.200 0.902(0.200 PROPN american_scientific_journal-2734 144 63 ) ) PUNCT american_scientific_journal-2734 144 64 0.560(0.174 0.560(0.174 ADJ american_scientific_journal-2734 144 65 ) ) PUNCT american_scientific_journal-2734 144 66 0.715 0.715 NOUN american_scientific_journal-2734 144 67 ( ( PUNCT american_scientific_journal-2734 144 68 0.215 0.215 NUM american_scientific_journal-2734 144 69 ) ) PUNCT american_scientific_journal-2734 144 70 0.741(0.310 0.741(0.310 X american_scientific_journal-2734 144 71 ) ) PUNCT american_scientific_journal-2734 144 72 second second ADJ american_scientific_journal-2734 144 73 approach approach NOUN american_scientific_journal-2734 144 74 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 NOUN american_scientific_journal-2734 145 1 = = NOUN american_scientific_journal-2734 145 2 0.25 0.25 NUM american_scientific_journal-2734 145 3 1.698 1.698 NUM american_scientific_journal-2734 145 4 ( ( PUNCT american_scientific_journal-2734 145 5 0.171 0.171 NUM american_scientific_journal-2734 145 6 ) ) PUNCT american_scientific_journal-2734 145 7 2.520(0.338 2.520(0.338 NUM american_scientific_journal-2734 145 8 ) ) PUNCT american_scientific_journal-2734 145 9 2.018 2.018 NUM american_scientific_journal-2734 145 10 ( ( PUNCT american_scientific_journal-2734 145 11 0.384 0.384 NUM american_scientific_journal-2734 145 12 ) ) PUNCT american_scientific_journal-2734 145 13 2.007(0.156 2.007(0.156 NUM american_scientific_journal-2734 145 14 ) ) PUNCT american_scientific_journal-2734 145 15 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 X american_scientific_journal-2734 146 1 = = PUNCT american_scientific_journal-2734 146 2 0.55 0.55 NUM american_scientific_journal-2734 146 3 1.959 1.959 NUM american_scientific_journal-2734 146 4 ( ( PUNCT american_scientific_journal-2734 146 5 0.258 0.258 NUM american_scientific_journal-2734 146 6 ) ) PUNCT american_scientific_journal-2734 146 7 2.987 2.987 NUM american_scientific_journal-2734 146 8 ( ( PUNCT american_scientific_journal-2734 146 9 0.409 0.409 NUM american_scientific_journal-2734 146 10 ) ) PUNCT american_scientific_journal-2734 146 11 2.375 2.375 NUM american_scientific_journal-2734 146 12 ( ( PUNCT american_scientific_journal-2734 146 13 0.295 0.295 NUM american_scientific_journal-2734 146 14 ) ) PUNCT american_scientific_journal-2734 146 15 2.329 2.329 NUM american_scientific_journal-2734 146 16 ( ( PUNCT american_scientific_journal-2734 146 17 0.161 0.161 NUM american_scientific_journal-2734 146 18 ) ) PUNCT american_scientific_journal-2734 146 19 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 NOUN american_scientific_journal-2734 147 1 = = SYM american_scientific_journal-2734 147 2 0.85 0.85 NUM american_scientific_journal-2734 147 3 2.256 2.256 NUM american_scientific_journal-2734 147 4 ( ( PUNCT american_scientific_journal-2734 147 5 0.268 0.268 NUM american_scientific_journal-2734 147 6 ) ) PUNCT american_scientific_journal-2734 147 7 3.681 3.681 NUM american_scientific_journal-2734 147 8 ( ( PUNCT american_scientific_journal-2734 147 9 0.948 0.948 NUM american_scientific_journal-2734 147 10 ) ) PUNCT american_scientific_journal-2734 147 11 2.724 2.724 NUM american_scientific_journal-2734 147 12 ( ( PUNCT american_scientific_journal-2734 147 13 0.432 0.432 NUM american_scientific_journal-2734 147 14 ) ) PUNCT american_scientific_journal-2734 147 15 2.741 2.741 NUM american_scientific_journal-2734 147 16 ( ( PUNCT american_scientific_journal-2734 147 17 0.301 0.301 NUM american_scientific_journal-2734 147 18 ) ) PUNCT american_scientific_journal-2734 147 19 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 147 20 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 147 21 = = PUNCT american_scientific_journal-2734 147 22 0.25 0.25 NUM american_scientific_journal-2734 147 23 1.264 1.264 NUM american_scientific_journal-2734 147 24 ( ( PUNCT american_scientific_journal-2734 147 25 0.216 0.216 NUM american_scientific_journal-2734 147 26 ) ) PUNCT american_scientific_journal-2734 147 27 1.858 1.858 NUM american_scientific_journal-2734 147 28 ( ( PUNCT american_scientific_journal-2734 147 29 0.932 0.932 NUM american_scientific_journal-2734 147 30 ) ) PUNCT american_scientific_journal-2734 147 31 1.546 1.546 NUM american_scientific_journal-2734 147 32 ( ( PUNCT american_scientific_journal-2734 147 33 0.337 0.337 NUM american_scientific_journal-2734 147 34 ) ) PUNCT american_scientific_journal-2734 147 35 1.431 1.431 NUM american_scientific_journal-2734 147 36 ( ( PUNCT american_scientific_journal-2734 147 37 0.186 0.186 NUM american_scientific_journal-2734 147 38 ) ) PUNCT american_scientific_journal-2734 147 39 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 147 40 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 147 41 = = PUNCT american_scientific_journal-2734 147 42 0.55 0.55 NUM american_scientific_journal-2734 147 43 1.736 1.736 NUM american_scientific_journal-2734 147 44 ( ( PUNCT american_scientific_journal-2734 147 45 0.258 0.258 NUM american_scientific_journal-2734 147 46 ) ) PUNCT american_scientific_journal-2734 147 47 2.754 2.754 NUM american_scientific_journal-2734 147 48 ( ( PUNCT american_scientific_journal-2734 147 49 0.287 0.287 NUM american_scientific_journal-2734 147 50 ) ) PUNCT american_scientific_journal-2734 147 51 2.104 2.104 NUM american_scientific_journal-2734 147 52 ( ( PUNCT american_scientific_journal-2734 147 53 0.318 0.318 NUM american_scientific_journal-2734 147 54 ) ) PUNCT american_scientific_journal-2734 147 55 2.057 2.057 NUM american_scientific_journal-2734 147 56 ( ( PUNCT american_scientific_journal-2734 147 57 0.235 0.235 NUM american_scientific_journal-2734 147 58 ) ) PUNCT american_scientific_journal-2734 147 59 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 147 60 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 147 61 = = PUNCT american_scientific_journal-2734 147 62 0.85 0.85 NUM american_scientific_journal-2734 147 63 2.142 2.142 NUM american_scientific_journal-2734 147 64 ( ( PUNCT american_scientific_journal-2734 147 65 0.309 0.309 NUM american_scientific_journal-2734 147 66 ) ) PUNCT american_scientific_journal-2734 147 67 3.560 3.560 NUM american_scientific_journal-2734 147 68 ( ( PUNCT american_scientific_journal-2734 147 69 0.437 0.437 NUM american_scientific_journal-2734 147 70 ) ) PUNCT american_scientific_journal-2734 147 71 2.592 2.592 NUM american_scientific_journal-2734 147 72 ( ( PUNCT american_scientific_journal-2734 147 73 0.408 0.408 NUM american_scientific_journal-2734 147 74 ) ) PUNCT american_scientific_journal-2734 147 75 2.647 2.647 NUM american_scientific_journal-2734 147 76 ( ( PUNCT american_scientific_journal-2734 147 77 0.331 0.331 NUM american_scientific_journal-2734 147 78 ) ) PUNCT american_scientific_journal-2734 147 79 new new ADJ american_scientific_journal-2734 147 80 lasso lasso NOUN american_scientific_journal-2734 147 81 cq cq ADP american_scientific_journal-2734 147 82 reg reg NOUN american_scientific_journal-2734 147 83 0.765 0.765 NUM american_scientific_journal-2734 147 84 ( ( PUNCT american_scientific_journal-2734 147 85 0.106 0.106 NUM american_scientific_journal-2734 147 86 ) ) PUNCT american_scientific_journal-2734 147 87 0.703 0.703 NUM american_scientific_journal-2734 147 88 ( ( PUNCT american_scientific_journal-2734 147 89 0.122 0.122 NUM american_scientific_journal-2734 147 90 ) ) PUNCT american_scientific_journal-2734 147 91 0.621 0.621 NUM american_scientific_journal-2734 147 92 ( ( PUNCT american_scientific_journal-2734 147 93 0.124 0.124 NUM american_scientific_journal-2734 147 94 ) ) PUNCT american_scientific_journal-2734 147 95 0.596 0.596 NUM american_scientific_journal-2734 147 96 ( ( PUNCT american_scientific_journal-2734 147 97 0.331 0.331 NUM american_scientific_journal-2734 147 98 ) ) PUNCT american_scientific_journal-2734 147 99 third third ADJ american_scientific_journal-2734 147 100 approach approach NOUN american_scientific_journal-2734 147 101 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 NOUN american_scientific_journal-2734 148 1 = = PUNCT american_scientific_journal-2734 148 2 0.25 0.25 NUM american_scientific_journal-2734 148 3 0.930 0.930 NUM american_scientific_journal-2734 148 4 ( ( PUNCT american_scientific_journal-2734 148 5 0.841 0.841 NUM american_scientific_journal-2734 148 6 ) ) PUNCT american_scientific_journal-2734 148 7 3.446 3.446 NUM american_scientific_journal-2734 148 8 ( ( PUNCT american_scientific_journal-2734 148 9 0.410 0.410 NUM american_scientific_journal-2734 148 10 ) ) PUNCT american_scientific_journal-2734 148 11 2.752(1.071 2.752(1.071 PROPN american_scientific_journal-2734 148 12 ) ) PUNCT american_scientific_journal-2734 148 13 2.813(0.689 2.813(0.689 NUM american_scientific_journal-2734 148 14 ) ) PUNCT american_scientific_journal-2734 148 15 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 X american_scientific_journal-2734 149 1 = = PUNCT american_scientific_journal-2734 149 2 0.55 0.55 NUM american_scientific_journal-2734 149 3 0.876 0.876 NUM american_scientific_journal-2734 149 4 ( ( PUNCT american_scientific_journal-2734 149 5 0.667 0.667 NUM american_scientific_journal-2734 149 6 ) ) PUNCT american_scientific_journal-2734 149 7 4.005 4.005 NUM american_scientific_journal-2734 149 8 ( ( PUNCT american_scientific_journal-2734 149 9 0.425 0.425 NUM american_scientific_journal-2734 149 10 ) ) PUNCT american_scientific_journal-2734 149 11 3.200 3.200 NUM american_scientific_journal-2734 149 12 ( ( PUNCT american_scientific_journal-2734 149 13 1.020 1.020 NUM american_scientific_journal-2734 149 14 ) ) PUNCT american_scientific_journal-2734 149 15 3.209(0.508 3.209(0.508 NUM american_scientific_journal-2734 149 16 ) ) PUNCT american_scientific_journal-2734 149 17 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 NOUN american_scientific_journal-2734 150 1 = = PUNCT american_scientific_journal-2734 150 2 0.85 0.85 NUM american_scientific_journal-2734 150 3 0.837 0.837 NUM american_scientific_journal-2734 150 4 ( ( PUNCT american_scientific_journal-2734 150 5 0.777 0.777 NUM american_scientific_journal-2734 150 6 ) ) PUNCT american_scientific_journal-2734 150 7 4.845 4.845 NUM american_scientific_journal-2734 150 8 ( ( PUNCT american_scientific_journal-2734 150 9 0.504 0.504 NUM american_scientific_journal-2734 150 10 ) ) PUNCT american_scientific_journal-2734 150 11 3.927 3.927 NUM american_scientific_journal-2734 150 12 ( ( PUNCT american_scientific_journal-2734 150 13 0.758 0.758 NUM american_scientific_journal-2734 150 14 ) ) PUNCT american_scientific_journal-2734 150 15 3.777(0.631 3.777(0.631 NUM american_scientific_journal-2734 150 16 ) ) PUNCT american_scientific_journal-2734 150 17 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 151 1 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 ADJ american_scientific_journal-2734 151 2 = = PUNCT american_scientific_journal-2734 151 3 0.25 0.25 NUM american_scientific_journal-2734 151 4 0.851(0.769 0.851(0.769 NOUN american_scientific_journal-2734 151 5 ) ) PUNCT american_scientific_journal-2734 151 6 2.623 2.623 NUM american_scientific_journal-2734 151 7 ( ( PUNCT american_scientific_journal-2734 151 8 0.357 0.357 NUM american_scientific_journal-2734 151 9 ) ) PUNCT american_scientific_journal-2734 151 10 2.090 2.090 NUM american_scientific_journal-2734 151 11 ( ( PUNCT american_scientific_journal-2734 151 12 1.020 1.020 NUM american_scientific_journal-2734 151 13 ) ) PUNCT american_scientific_journal-2734 151 14 2.221(0.522 2.221(0.522 NUM american_scientific_journal-2734 151 15 ) ) PUNCT american_scientific_journal-2734 151 16 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 151 17 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 ADJ american_scientific_journal-2734 151 18 = = PUNCT american_scientific_journal-2734 151 19 0.55 0.55 NUM american_scientific_journal-2734 151 20 0.885(0.704 0.885(0.704 NOUN american_scientific_journal-2734 151 21 ) ) PUNCT american_scientific_journal-2734 151 22 3.594 3.594 NUM american_scientific_journal-2734 151 23 ( ( PUNCT american_scientific_journal-2734 151 24 0.361 0.361 NUM american_scientific_journal-2734 151 25 ) ) PUNCT american_scientific_journal-2734 151 26 2.923 2.923 NUM american_scientific_journal-2734 151 27 ( ( PUNCT american_scientific_journal-2734 151 28 0.959 0.959 NUM american_scientific_journal-2734 151 29 ) ) PUNCT american_scientific_journal-2734 151 30 2.981(0.551 2.981(0.551 NUM american_scientific_journal-2734 151 31 ) ) PUNCT american_scientific_journal-2734 151 32 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 151 33 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 ADJ american_scientific_journal-2734 151 34 = = PUNCT american_scientific_journal-2734 151 35 0.85 0.85 NUM american_scientific_journal-2734 151 36 0.869(0.686 0.869(0.686 NOUN american_scientific_journal-2734 151 37 ) ) PUNCT american_scientific_journal-2734 151 38 4.707 4.707 NUM american_scientific_journal-2734 151 39 ( ( PUNCT american_scientific_journal-2734 151 40 0.411 0.411 NUM american_scientific_journal-2734 151 41 ) ) PUNCT american_scientific_journal-2734 151 42 3.851 3.851 NUM american_scientific_journal-2734 151 43 ( ( PUNCT american_scientific_journal-2734 151 44 0.814 0.814 NUM american_scientific_journal-2734 151 45 ) ) PUNCT american_scientific_journal-2734 151 46 3.719(0.683 3.719(0.683 NOUN american_scientific_journal-2734 151 47 ) ) PUNCT american_scientific_journal-2734 151 48 new new ADJ american_scientific_journal-2734 151 49 lasso lasso NOUN american_scientific_journal-2734 151 50 cq cq ADP american_scientific_journal-2734 151 51 reg reg PROPN american_scientific_journal-2734 151 52 0.373(0.420 0.373(0.420 NOUN american_scientific_journal-2734 151 53 ) ) PUNCT american_scientific_journal-2734 151 54 1.089 1.089 NUM american_scientific_journal-2734 151 55 ( ( PUNCT american_scientific_journal-2734 151 56 0.307 0.307 NUM american_scientific_journal-2734 151 57 ) ) PUNCT american_scientific_journal-2734 151 58 1.496 1.496 NUM american_scientific_journal-2734 151 59 ( ( PUNCT american_scientific_journal-2734 151 60 0.268 0.268 NUM american_scientific_journal-2734 151 61 ) ) PUNCT american_scientific_journal-2734 151 62 1.157(0.352 1.157(0.352 NUM american_scientific_journal-2734 151 63 ) ) PUNCT american_scientific_journal-2734 151 64 the the DET american_scientific_journal-2734 151 65 standard standard ADJ american_scientific_journal-2734 151 66 deviations deviation NOUN american_scientific_journal-2734 151 67 of of ADP american_scientific_journal-2734 151 68 the the DET american_scientific_journal-2734 151 69 mad mad ADJ american_scientific_journal-2734 151 70 are be AUX american_scientific_journal-2734 151 71 mentioned mention VERB american_scientific_journal-2734 151 72 in in ADP american_scientific_journal-2734 151 73 parentheses parenthesis NOUN american_scientific_journal-2734 151 74 . . PUNCT american_scientific_journal-2734 152 1 the the DET american_scientific_journal-2734 152 2 table table NOUN american_scientific_journal-2734 152 3 2 2 NUM american_scientific_journal-2734 152 4 provides provide VERB american_scientific_journal-2734 152 5 additional additional ADJ american_scientific_journal-2734 152 6 criteria criterion NOUN american_scientific_journal-2734 152 7 that that PRON american_scientific_journal-2734 152 8 represent represent VERB american_scientific_journal-2734 152 9 the the DET american_scientific_journal-2734 152 10 parameters parameter NOUN american_scientific_journal-2734 152 11 estimation estimation NOUN american_scientific_journal-2734 152 12 in in ADP american_scientific_journal-2734 152 13 direct direct ADJ american_scientific_journal-2734 152 14 way way NOUN american_scientific_journal-2734 152 15 . . PUNCT american_scientific_journal-2734 153 1 as as SCONJ american_scientific_journal-2734 153 2 can can AUX american_scientific_journal-2734 153 3 be be AUX american_scientific_journal-2734 153 4 observed observe VERB american_scientific_journal-2734 153 5 in in ADP american_scientific_journal-2734 153 6 the the DET american_scientific_journal-2734 153 7 table table NOUN american_scientific_journal-2734 153 8 , , PUNCT american_scientific_journal-2734 153 9 the the DET american_scientific_journal-2734 153 10 parameters parameter NOUN american_scientific_journal-2734 153 11 estimation estimation NOUN american_scientific_journal-2734 153 12 through through ADP american_scientific_journal-2734 153 13 our our PRON american_scientific_journal-2734 153 14 proposed propose VERB american_scientific_journal-2734 153 15 method method NOUN american_scientific_journal-2734 153 16 ( ( PUNCT american_scientific_journal-2734 153 17 new new ADJ american_scientific_journal-2734 153 18 lasso lasso NOUN american_scientific_journal-2734 153 19 cq cq NOUN american_scientific_journal-2734 153 20 reg reg NOUN american_scientific_journal-2734 153 21 ) ) PUNCT american_scientific_journal-2734 153 22 was be AUX american_scientific_journal-2734 153 23 very very ADV american_scientific_journal-2734 153 24 close close ADJ american_scientific_journal-2734 153 25 to to ADP american_scientific_journal-2734 153 26 true true ADJ american_scientific_journal-2734 153 27 parameters parameter NOUN american_scientific_journal-2734 153 28 comparison comparison NOUN american_scientific_journal-2734 153 29 with with ADP american_scientific_journal-2734 153 30 rq rq NOUN american_scientific_journal-2734 153 31 and and CCONJ american_scientific_journal-2734 153 32 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 153 33 𝑁𝑁 𝑁𝑁 PROPN american_scientific_journal-2734 153 34 methods method NOUN american_scientific_journal-2734 153 35 . . PUNCT american_scientific_journal-2734 154 1 therefore therefore ADV american_scientific_journal-2734 154 2 , , PUNCT american_scientific_journal-2734 154 3 the the DET american_scientific_journal-2734 154 4 proposed propose VERB american_scientific_journal-2734 154 5 method method NOUN american_scientific_journal-2734 154 6 ( ( PUNCT american_scientific_journal-2734 154 7 new new ADJ american_scientific_journal-2734 154 8 lasso lasso NOUN american_scientific_journal-2734 154 9 cq cq NOUN american_scientific_journal-2734 154 10 reg reg NOUN american_scientific_journal-2734 154 11 ) ) PUNCT american_scientific_journal-2734 154 12 has have AUX american_scientific_journal-2734 154 13 performed perform VERB american_scientific_journal-2734 154 14 better well ADV american_scientific_journal-2734 154 15 than than ADP american_scientific_journal-2734 154 16 rq rq NOUN american_scientific_journal-2734 154 17 and and CCONJ american_scientific_journal-2734 154 18 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 154 19 𝑁𝑁 𝑁𝑁 PROPN american_scientific_journal-2734 154 20 methods method NOUN american_scientific_journal-2734 154 21 . . PUNCT american_scientific_journal-2734 155 1 american american ADJ american_scientific_journal-2734 155 2 scientific scientific ADJ american_scientific_journal-2734 155 3 research research PROPN american_scientific_journal-2734 155 4 journal journal NOUN american_scientific_journal-2734 155 5 for for ADP american_scientific_journal-2734 155 6 engineering engineering NOUN american_scientific_journal-2734 155 7 , , PUNCT american_scientific_journal-2734 155 8 technology technology NOUN american_scientific_journal-2734 155 9 , , PUNCT american_scientific_journal-2734 155 10 and and CCONJ american_scientific_journal-2734 155 11 sciences science NOUN american_scientific_journal-2734 155 12 ( ( PUNCT american_scientific_journal-2734 155 13 asrjets asrjet NOUN american_scientific_journal-2734 155 14 ) ) PUNCT american_scientific_journal-2734 155 15 ( ( PUNCT american_scientific_journal-2734 155 16 2017 2017 NUM american_scientific_journal-2734 155 17 ) ) PUNCT american_scientific_journal-2734 155 18 volume volume NOUN american_scientific_journal-2734 155 19 29 29 NUM american_scientific_journal-2734 155 20 , , PUNCT american_scientific_journal-2734 155 21 no no DET american_scientific_journal-2734 155 22 1 1 NUM american_scientific_journal-2734 155 23 , , PUNCT american_scientific_journal-2734 155 24 pp pp ADV american_scientific_journal-2734 155 25 138 138 NUM american_scientific_journal-2734 155 26 - - SYM american_scientific_journal-2734 155 27 152 152 NUM american_scientific_journal-2734 155 28 147 147 NUM american_scientific_journal-2734 155 29 table table NOUN american_scientific_journal-2734 155 30 2 2 NUM american_scientific_journal-2734 155 31 : : PUNCT american_scientific_journal-2734 155 32 posterior posterior ADJ american_scientific_journal-2734 155 33 means mean NOUN american_scientific_journal-2734 155 34 for for ADP american_scientific_journal-2734 155 35 simulation simulation NOUN american_scientific_journal-2734 155 36 of of ADP american_scientific_journal-2734 155 37 the the DET american_scientific_journal-2734 155 38 first first ADJ american_scientific_journal-2734 155 39 approach approach NOUN american_scientific_journal-2734 155 40 via via ADP american_scientific_journal-2734 155 41 three three NUM american_scientific_journal-2734 155 42 quantile quantile ADJ american_scientific_journal-2734 155 43 levels level NOUN american_scientific_journal-2734 155 44 and and CCONJ american_scientific_journal-2734 155 45 four four NUM american_scientific_journal-2734 155 46 error error NOUN american_scientific_journal-2734 155 47 distribution distribution NOUN american_scientific_journal-2734 155 48 ; ; PUNCT american_scientific_journal-2734 155 49 the the DET american_scientific_journal-2734 155 50 results result NOUN american_scientific_journal-2734 155 51 are be AUX american_scientific_journal-2734 155 52 averaged average VERB american_scientific_journal-2734 155 53 over over ADP american_scientific_journal-2734 155 54 100 100 NUM american_scientific_journal-2734 155 55 simulations simulation NOUN american_scientific_journal-2734 155 56 error error NOUN american_scientific_journal-2734 155 57 distribution distribution NOUN american_scientific_journal-2734 155 58 method method NOUN american_scientific_journal-2734 155 59 𝜷𝜷 𝜷𝜷 NOUN american_scientific_journal-2734 155 60 οΏ½ οΏ½ PROPN american_scientific_journal-2734 155 61 𝟏𝟏 𝟏𝟏 NUM american_scientific_journal-2734 155 62 𝜷𝜷 𝜷𝜷 NOUN american_scientific_journal-2734 155 63 οΏ½ οΏ½ PROPN american_scientific_journal-2734 155 64 𝟐𝟐 𝟐𝟐 NUM american_scientific_journal-2734 155 65 𝜷𝜷 𝜷𝜷 NOUN american_scientific_journal-2734 155 66 οΏ½ οΏ½ PROPN american_scientific_journal-2734 155 67 πŸ‘πŸ‘ πŸ‘πŸ‘ NUM american_scientific_journal-2734 155 68 𝜷𝜷 𝜷𝜷 NOUN american_scientific_journal-2734 155 69 οΏ½ οΏ½ PROPN american_scientific_journal-2734 155 70 πŸ’πŸ’ πŸ’πŸ’ NUM american_scientific_journal-2734 155 71 𝜷𝜷 𝜷𝜷 NOUN american_scientific_journal-2734 155 72 οΏ½ οΏ½ PROPN american_scientific_journal-2734 155 73 πŸ“πŸ“ πŸ“πŸ“ NUM american_scientific_journal-2734 155 74 𝜷𝜷 𝜷𝜷 NUM american_scientific_journal-2734 155 75 οΏ½ οΏ½ PROPN american_scientific_journal-2734 155 76 πŸ”πŸ” πŸ”πŸ” PROPN american_scientific_journal-2734 155 77 𝜷𝜷 𝜷𝜷 PROPN american_scientific_journal-2734 155 78 οΏ½ οΏ½ PROPN american_scientific_journal-2734 155 79 πŸ•πŸ• πŸ•πŸ• NUM american_scientific_journal-2734 155 80 𝜷𝜷 𝜷𝜷 NOUN american_scientific_journal-2734 155 81 οΏ½ οΏ½ PROPN american_scientific_journal-2734 155 82 πŸ–πŸ– πŸ–πŸ– NUM american_scientific_journal-2734 155 83 𝑡𝑡(𝟎𝟎,𝟏𝟏 𝑡𝑡(𝟎𝟎,𝟏𝟏 NOUN american_scientific_journal-2734 155 84 ) ) PUNCT american_scientific_journal-2734 155 85 true true ADJ american_scientific_journal-2734 155 86 parameters parameter NOUN american_scientific_journal-2734 155 87 1 1 NUM american_scientific_journal-2734 155 88 0 0 NUM american_scientific_journal-2734 155 89 0 0 NUM american_scientific_journal-2734 155 90 0 0 NUM american_scientific_journal-2734 155 91 0 0 NUM american_scientific_journal-2734 155 92 0 0 NUM american_scientific_journal-2734 155 93 0 0 NUM american_scientific_journal-2734 155 94 0 0 NUM american_scientific_journal-2734 156 1 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 NOUN american_scientific_journal-2734 156 2 = = NUM american_scientific_journal-2734 157 1 0.25 0.25 NUM american_scientific_journal-2734 157 2 -0.882 -0.882 NOUN american_scientific_journal-2734 157 3 1.807 1.807 NUM american_scientific_journal-2734 157 4 -0.384 -0.384 X american_scientific_journal-2734 157 5 -0.157 -0.157 NOUN american_scientific_journal-2734 157 6 0.878 0.878 NUM american_scientific_journal-2734 157 7 0.192 0.192 NUM american_scientific_journal-2734 157 8 0.237 0.237 NUM american_scientific_journal-2734 157 9 0.340 0.340 NUM american_scientific_journal-2734 157 10 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 X american_scientific_journal-2734 158 1 = = PUNCT american_scientific_journal-2734 158 2 0.55 0.55 NUM american_scientific_journal-2734 158 3 -1.035 -1.035 NUM american_scientific_journal-2734 158 4 2.320 2.320 NUM american_scientific_journal-2734 158 5 -0.717 -0.717 NOUN american_scientific_journal-2734 158 6 -0.613 -0.613 PROPN american_scientific_journal-2734 158 7 1.392 1.392 NUM american_scientific_journal-2734 158 8 0.043 0.043 NUM american_scientific_journal-2734 158 9 0.253 0.253 NUM american_scientific_journal-2734 158 10 0.331 0.331 NUM american_scientific_journal-2734 158 11 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 NOUN american_scientific_journal-2734 159 1 = = SYM american_scientific_journal-2734 159 2 0.85 0.85 NUM american_scientific_journal-2734 159 3 -2.135 -2.135 NUM american_scientific_journal-2734 159 4 3.572 3.572 NUM american_scientific_journal-2734 159 5 -1.852 -1.852 NOUN american_scientific_journal-2734 159 6 -0.402 -0.402 NOUN american_scientific_journal-2734 159 7 1.707 1.707 NUM american_scientific_journal-2734 159 8 0.130 0.130 NUM american_scientific_journal-2734 159 9 0.377 0.377 NUM american_scientific_journal-2734 159 10 0.114 0.114 NUM american_scientific_journal-2734 159 11 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 159 12 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 ADJ american_scientific_journal-2734 159 13 = = PUNCT american_scientific_journal-2734 159 14 0.25 0.25 NUM american_scientific_journal-2734 159 15 -0.686 -0.686 SYM american_scientific_journal-2734 159 16 1.790 1.790 NUM american_scientific_journal-2734 159 17 -0.481 -0.481 NUM american_scientific_journal-2734 159 18 0.105 0.105 NUM american_scientific_journal-2734 159 19 0.978 0.978 NUM american_scientific_journal-2734 159 20 0.238 0.238 NUM american_scientific_journal-2734 159 21 0.475 0.475 NUM american_scientific_journal-2734 159 22 0.366 0.366 NUM american_scientific_journal-2734 159 23 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ NOUN american_scientific_journal-2734 159 24 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 VERB american_scientific_journal-2734 159 25 = = PUNCT american_scientific_journal-2734 159 26 0.55 0.55 NUM american_scientific_journal-2734 159 27 -1.301 -1.301 NUM american_scientific_journal-2734 159 28 2.535 2.535 NUM american_scientific_journal-2734 159 29 -1.061 -1.061 PUNCT american_scientific_journal-2734 159 30 -0.184 -0.184 VERB american_scientific_journal-2734 159 31 1.414 1.414 NUM american_scientific_journal-2734 159 32 0.116 0.116 NUM american_scientific_journal-2734 159 33 0.444 0.444 NUM american_scientific_journal-2734 159 34 0.387 0.387 NUM american_scientific_journal-2734 159 35 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 159 36 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 159 37 = = PUNCT american_scientific_journal-2734 159 38 0.85 0.85 NUM american_scientific_journal-2734 159 39 -2.230 -2.230 NUM american_scientific_journal-2734 159 40 3.333 3.333 NUM american_scientific_journal-2734 159 41 -1.952 -1.952 PUNCT american_scientific_journal-2734 159 42 -0.186 -0.186 NUM american_scientific_journal-2734 159 43 1.642 1.642 NUM american_scientific_journal-2734 159 44 0.374 0.374 NUM american_scientific_journal-2734 159 45 0.126 0.126 NUM american_scientific_journal-2734 159 46 0.464 0.464 NUM american_scientific_journal-2734 159 47 new new ADJ american_scientific_journal-2734 159 48 lasso lasso NOUN american_scientific_journal-2734 159 49 cq cq ADP american_scientific_journal-2734 159 50 reg reg NOUN american_scientific_journal-2734 159 51 0.970 0.970 NUM american_scientific_journal-2734 159 52 0.017 0.017 NUM american_scientific_journal-2734 159 53 0.002 0.002 NUM american_scientific_journal-2734 159 54 0.121 0.121 NUM american_scientific_journal-2734 159 55 0.009 0.009 NUM american_scientific_journal-2734 159 56 0.003 0.003 NUM american_scientific_journal-2734 159 57 0.044 0.044 NUM american_scientific_journal-2734 159 58 0.145 0.145 NUM american_scientific_journal-2734 159 59 𝝌𝝌(πŸ‘πŸ‘ 𝝌𝝌(πŸ‘πŸ‘ PROPN american_scientific_journal-2734 159 60 ) ) PUNCT american_scientific_journal-2734 160 1 𝟐𝟐 𝟐𝟐 NUM american_scientific_journal-2734 160 2 true true ADJ american_scientific_journal-2734 160 3 parameters parameter NOUN american_scientific_journal-2734 160 4 1 1 NUM american_scientific_journal-2734 160 5 0 0 NUM american_scientific_journal-2734 160 6 0 0 NUM american_scientific_journal-2734 160 7 0 0 NUM american_scientific_journal-2734 160 8 0 0 NUM american_scientific_journal-2734 160 9 0 0 NUM american_scientific_journal-2734 160 10 0 0 NUM american_scientific_journal-2734 160 11 0 0 NUM american_scientific_journal-2734 160 12 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 NOUN american_scientific_journal-2734 160 13 = = PUNCT 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american_scientific_journal-2734 161 8 1.936 1.936 NUM american_scientific_journal-2734 161 9 -0.207 -0.207 NOUN american_scientific_journal-2734 161 10 1.341 1.341 NUM american_scientific_journal-2734 161 11 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 NOUN american_scientific_journal-2734 162 1 = = NOUN american_scientific_journal-2734 163 1 0.85 0.85 NUM american_scientific_journal-2734 163 2 0.148 0.148 NUM american_scientific_journal-2734 163 3 0.129 0.129 NUM american_scientific_journal-2734 163 4 2.381 2.381 NUM american_scientific_journal-2734 163 5 -1.942 -1.942 NOUN american_scientific_journal-2734 163 6 3.008 3.008 NUM american_scientific_journal-2734 163 7 2.265 2.265 NUM american_scientific_journal-2734 163 8 -0.887 -0.887 NUM american_scientific_journal-2734 163 9 1.119 1.119 NUM american_scientific_journal-2734 163 10 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ NOUN american_scientific_journal-2734 163 11 π‘π‘πœƒπœƒ1 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0.009 NUM american_scientific_journal-2734 163 28 1.663 1.663 NUM american_scientific_journal-2734 163 29 -1.821 -1.821 NUM american_scientific_journal-2734 163 30 2.398 2.398 NUM american_scientific_journal-2734 163 31 1.724 1.724 NUM american_scientific_journal-2734 163 32 -0.637 -0.637 NOUN american_scientific_journal-2734 163 33 0.987 0.987 NUM american_scientific_journal-2734 163 34 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 163 35 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 163 36 = = PUNCT american_scientific_journal-2734 163 37 0.85 0.85 NUM american_scientific_journal-2734 163 38 0.198 0.198 NUM american_scientific_journal-2734 163 39 0.322 0.322 NUM american_scientific_journal-2734 163 40 2.366 2.366 NUM american_scientific_journal-2734 163 41 -2.179 -2.179 PUNCT american_scientific_journal-2734 163 42 2.764 2.764 NUM american_scientific_journal-2734 163 43 2.410 2.410 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parameters parameter NOUN american_scientific_journal-2734 163 62 1 1 NUM american_scientific_journal-2734 163 63 0 0 NUM american_scientific_journal-2734 163 64 0 0 NUM american_scientific_journal-2734 163 65 0 0 NUM american_scientific_journal-2734 163 66 0 0 NUM american_scientific_journal-2734 163 67 0 0 NUM american_scientific_journal-2734 163 68 0 0 NUM american_scientific_journal-2734 163 69 0 0 NUM american_scientific_journal-2734 163 70 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 NOUN american_scientific_journal-2734 163 71 = = PUNCT american_scientific_journal-2734 164 1 0.25 0.25 NUM american_scientific_journal-2734 164 2 1.275 1.275 NUM american_scientific_journal-2734 164 3 0.288 0.288 NUM american_scientific_journal-2734 164 4 0.290 0.290 NUM american_scientific_journal-2734 164 5 -0.137 -0.137 NOUN american_scientific_journal-2734 164 6 0.752 0.752 NUM american_scientific_journal-2734 164 7 -0.234 -0.234 NUM american_scientific_journal-2734 164 8 1.014 1.014 NUM american_scientific_journal-2734 164 9 -0.769 -0.769 NUM american_scientific_journal-2734 164 10 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 X american_scientific_journal-2734 165 1 = = NOUN american_scientific_journal-2734 166 1 0.55 0.55 NUM american_scientific_journal-2734 166 2 2.012 2.012 NUM american_scientific_journal-2734 166 3 0.682 0.682 NUM american_scientific_journal-2734 166 4 -0.410 -0.410 NUM american_scientific_journal-2734 166 5 0.283 0.283 NUM american_scientific_journal-2734 166 6 1.378 1.378 NUM american_scientific_journal-2734 166 7 -0.732 -0.732 NUM american_scientific_journal-2734 166 8 1.921 1.921 NUM american_scientific_journal-2734 166 9 -1.356 -1.356 PUNCT american_scientific_journal-2734 166 10 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 NOUN american_scientific_journal-2734 167 1 = = SYM american_scientific_journal-2734 167 2 0.85 0.85 NUM american_scientific_journal-2734 167 3 1.539 1.539 NUM american_scientific_journal-2734 167 4 1.335 1.335 NUM american_scientific_journal-2734 167 5 -0.182 -0.182 NOUN american_scientific_journal-2734 167 6 -0.472 -0.472 NOUN american_scientific_journal-2734 167 7 1.582 1.582 NUM american_scientific_journal-2734 167 8 -1.698 -1.698 SYM american_scientific_journal-2734 167 9 3.037 3.037 NUM american_scientific_journal-2734 167 10 -1.573 -1.573 NUM american_scientific_journal-2734 167 11 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 167 12 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 167 13 = = PUNCT american_scientific_journal-2734 167 14 0.25 0.25 NUM american_scientific_journal-2734 167 15 2.489 2.489 NUM american_scientific_journal-2734 167 16 0.631 0.631 NUM american_scientific_journal-2734 167 17 -0.109 -0.109 PRON american_scientific_journal-2734 167 18 -0.083 -0.083 NOUN american_scientific_journal-2734 167 19 0.856 0.856 NUM american_scientific_journal-2734 167 20 -0.755 -0.755 PUNCT american_scientific_journal-2734 167 21 1.353 1.353 NUM american_scientific_journal-2734 167 22 -0.901 -0.901 NOUN american_scientific_journal-2734 167 23 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 167 24 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 167 25 = = PUNCT american_scientific_journal-2734 167 26 0.55 0.55 NUM american_scientific_journal-2734 167 27 2.116 2.116 NUM american_scientific_journal-2734 167 28 0.885 0.885 NUM american_scientific_journal-2734 167 29 -0.346 -0.346 PUNCT american_scientific_journal-2734 167 30 -0.036 -0.036 NOUN american_scientific_journal-2734 167 31 1.271 1.271 NUM american_scientific_journal-2734 167 32 -1.055 -1.055 X american_scientific_journal-2734 167 33 2.029 2.029 NUM american_scientific_journal-2734 167 34 -1.186 -1.186 PUNCT american_scientific_journal-2734 167 35 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 167 36 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 167 37 = = PUNCT american_scientific_journal-2734 167 38 0.85 0.85 NUM american_scientific_journal-2734 167 39 1.715 1.715 NUM american_scientific_journal-2734 167 40 1.286 1.286 NUM american_scientific_journal-2734 167 41 -0.348 -0.348 PROPN american_scientific_journal-2734 167 42 -0.234 -0.234 NUM american_scientific_journal-2734 167 43 1.579 1.579 NUM american_scientific_journal-2734 167 44 -1.448 -1.448 X american_scientific_journal-2734 167 45 2.762 2.762 NUM american_scientific_journal-2734 167 46 -1.413 -1.413 NUM american_scientific_journal-2734 167 47 new new ADJ american_scientific_journal-2734 167 48 lasso lasso NOUN american_scientific_journal-2734 167 49 cq cq ADP american_scientific_journal-2734 167 50 reg reg VERB american_scientific_journal-2734 167 51 1.244 1.244 NUM american_scientific_journal-2734 167 52 0.121 0.121 NUM american_scientific_journal-2734 167 53 0.026 0.026 NUM american_scientific_journal-2734 167 54 0.238 0.238 NUM american_scientific_journal-2734 167 55 0.131 0.131 NUM american_scientific_journal-2734 167 56 0.160 0.160 NUM american_scientific_journal-2734 167 57 0.234 0.234 NUM american_scientific_journal-2734 167 58 0.070 0.070 NUM american_scientific_journal-2734 167 59 mixture mixture NOUN american_scientific_journal-2734 167 60 laplace laplace NOUN american_scientific_journal-2734 167 61 true true ADJ american_scientific_journal-2734 167 62 parameters parameter NOUN american_scientific_journal-2734 167 63 1 1 NUM american_scientific_journal-2734 167 64 0 0 NUM american_scientific_journal-2734 167 65 0 0 NUM american_scientific_journal-2734 167 66 0 0 NUM american_scientific_journal-2734 167 67 0 0 NUM american_scientific_journal-2734 167 68 0 0 NUM american_scientific_journal-2734 167 69 0 0 NUM american_scientific_journal-2734 167 70 0 0 NUM american_scientific_journal-2734 167 71 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ1 NOUN american_scientific_journal-2734 168 1 = = NUM american_scientific_journal-2734 168 2 0.25 0.25 NUM american_scientific_journal-2734 168 3 5.050 5.050 NUM american_scientific_journal-2734 168 4 0.120 0.120 NUM american_scientific_journal-2734 168 5 -1.650 -1.650 NUM american_scientific_journal-2734 168 6 1.393 1.393 NUM american_scientific_journal-2734 168 7 0.807 0.807 NUM american_scientific_journal-2734 168 8 0.301 0.301 NUM american_scientific_journal-2734 168 9 -1.553 -1.553 NOUN american_scientific_journal-2734 168 10 0.523 0.523 NUM american_scientific_journal-2734 168 11 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ2 X american_scientific_journal-2734 169 1 = = PUNCT american_scientific_journal-2734 169 2 0.55 0.55 NUM american_scientific_journal-2734 169 3 5.046 5.046 NUM american_scientific_journal-2734 169 4 -0.100 -0.100 PUNCT american_scientific_journal-2734 169 5 -1.558 -1.558 PUNCT american_scientific_journal-2734 169 6 2.040 2.040 NUM american_scientific_journal-2734 169 7 0.929 0.929 NUM american_scientific_journal-2734 169 8 -0.172 -0.172 NUM american_scientific_journal-2734 169 9 -1.443 -1.443 NOUN american_scientific_journal-2734 169 10 0.450 0.450 NUM american_scientific_journal-2734 169 11 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 π‘£π‘£π‘Ÿπ‘Ÿπœƒπœƒ3 NOUN american_scientific_journal-2734 170 1 = = NOUN american_scientific_journal-2734 171 1 0.85 0.85 NUM american_scientific_journal-2734 171 2 5.554 5.554 NUM american_scientific_journal-2734 171 3 -0.689 -0.689 NOUN american_scientific_journal-2734 171 4 -0.967 -0.967 NUM american_scientific_journal-2734 171 5 2.502 2.502 NUM american_scientific_journal-2734 171 6 0.951 0.951 NUM american_scientific_journal-2734 171 7 -0.694 -0.694 PROPN american_scientific_journal-2734 171 8 -1.950 -1.950 ADP american_scientific_journal-2734 171 9 0.669 0.669 NUM american_scientific_journal-2734 171 10 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 171 11 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 171 12 = = PUNCT american_scientific_journal-2734 171 13 0.25 0.25 NUM american_scientific_journal-2734 171 14 5.265 5.265 NUM american_scientific_journal-2734 171 15 -0.373 -0.373 PUNCT american_scientific_journal-2734 171 16 -0.609 -0.609 PUNCT american_scientific_journal-2734 171 17 1.167 1.167 NUM american_scientific_journal-2734 171 18 -0.146 -0.146 NOUN american_scientific_journal-2734 171 19 -0.971 -0.971 NUM american_scientific_journal-2734 171 20 -0.971 -0.971 NUM american_scientific_journal-2734 172 1 0.393 0.393 NUM american_scientific_journal-2734 172 2 πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ πΏπΏπ‘Žπ‘Žπ‘ π‘ π‘ π‘ π‘ˆπ‘ˆ PROPN american_scientific_journal-2734 172 3 π‘π‘πœƒπœƒ1 π‘π‘πœƒπœƒ1 NOUN american_scientific_journal-2734 172 4 = = PUNCT 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american_scientific_journal-2734 172 56 volume volume NOUN american_scientific_journal-2734 172 57 29 29 NUM american_scientific_journal-2734 172 58 , , PUNCT american_scientific_journal-2734 172 59 no no DET american_scientific_journal-2734 172 60 1 1 NUM american_scientific_journal-2734 172 61 , , PUNCT american_scientific_journal-2734 172 62 pp pp ADV american_scientific_journal-2734 172 63 138 138 NUM american_scientific_journal-2734 172 64 - - SYM american_scientific_journal-2734 172 65 152 152 NUM american_scientific_journal-2734 172 66 148 148 NUM american_scientific_journal-2734 172 67 figure figure NOUN american_scientific_journal-2734 172 68 1 1 NUM american_scientific_journal-2734 172 69 provides provide VERB american_scientific_journal-2734 172 70 a a DET american_scientific_journal-2734 172 71 clear clear ADJ american_scientific_journal-2734 172 72 vision vision NOUN american_scientific_journal-2734 172 73 about about ADP american_scientific_journal-2734 172 74 table table NOUN american_scientific_journal-2734 172 75 2 2 NUM american_scientific_journal-2734 172 76 . . PUNCT american_scientific_journal-2734 172 77 figure figure NOUN american_scientific_journal-2734 172 78 1 1 NUM american_scientific_journal-2734 172 79 : : PUNCT american_scientific_journal-2734 172 80 bar bar NOUN american_scientific_journal-2734 172 81 chart chart NOUN american_scientific_journal-2734 172 82 summarizing summarize VERB american_scientific_journal-2734 172 83 the the DET american_scientific_journal-2734 172 84 parameters parameter NOUN american_scientific_journal-2734 172 85 of of ADP american_scientific_journal-2734 172 86 the the DET american_scientific_journal-2734 172 87 studied study VERB american_scientific_journal-2734 172 88 methods method NOUN american_scientific_journal-2734 172 89 close close ADJ american_scientific_journal-2734 172 90 to to ADP american_scientific_journal-2734 172 91 true true ADJ american_scientific_journal-2734 172 92 parameters parameter NOUN american_scientific_journal-2734 172 93 american american ADJ american_scientific_journal-2734 172 94 scientific scientific ADJ american_scientific_journal-2734 172 95 research research NOUN american_scientific_journal-2734 172 96 journal journal NOUN american_scientific_journal-2734 172 97 for for ADP american_scientific_journal-2734 172 98 engineering engineering NOUN american_scientific_journal-2734 172 99 , , PUNCT american_scientific_journal-2734 172 100 technology technology NOUN american_scientific_journal-2734 172 101 , , PUNCT american_scientific_journal-2734 172 102 and and CCONJ american_scientific_journal-2734 172 103 sciences science NOUN american_scientific_journal-2734 172 104 ( ( PUNCT american_scientific_journal-2734 172 105 asrjets asrjet NOUN american_scientific_journal-2734 172 106 ) ) PUNCT american_scientific_journal-2734 172 107 ( ( PUNCT american_scientific_journal-2734 172 108 2017 2017 NUM american_scientific_journal-2734 172 109 ) ) PUNCT american_scientific_journal-2734 172 110 volume volume NOUN american_scientific_journal-2734 172 111 29 29 NUM american_scientific_journal-2734 172 112 , , PUNCT american_scientific_journal-2734 172 113 no no DET american_scientific_journal-2734 172 114 1 1 NUM american_scientific_journal-2734 172 115 , , PUNCT american_scientific_journal-2734 172 116 pp pp ADV american_scientific_journal-2734 172 117 138 138 NUM american_scientific_journal-2734 172 118 - - SYM american_scientific_journal-2734 172 119 152 152 NUM american_scientific_journal-2734 172 120 149 149 NUM american_scientific_journal-2734 172 121 4 4 NUM american_scientific_journal-2734 172 122 . . PUNCT american_scientific_journal-2734 173 1 real real ADJ american_scientific_journal-2734 173 2 data datum NOUN american_scientific_journal-2734 173 3 example example NOUN american_scientific_journal-2734 173 4 in in ADP american_scientific_journal-2734 173 5 this this DET american_scientific_journal-2734 173 6 section section NOUN american_scientific_journal-2734 173 7 , , PUNCT american_scientific_journal-2734 173 8 we we PRON american_scientific_journal-2734 173 9 apply apply VERB american_scientific_journal-2734 173 10 the the DET american_scientific_journal-2734 173 11 three three NUM american_scientific_journal-2734 173 12 methods method NOUN american_scientific_journal-2734 173 13 to to PART american_scientific_journal-2734 173 14 prostate prostate VERB american_scientific_journal-2734 173 15 cancer cancer NOUN american_scientific_journal-2734 173 16 data datum NOUN american_scientific_journal-2734 173 17 , , PUNCT american_scientific_journal-2734 173 18 first first ADV american_scientific_journal-2734 173 19 analysed analyse VERB american_scientific_journal-2734 173 20 by by ADP american_scientific_journal-2734 173 21 [ [ X american_scientific_journal-2734 173 22 22 22 NUM american_scientific_journal-2734 173 23 ] ] PUNCT american_scientific_journal-2734 173 24 . . PUNCT american_scientific_journal-2734 174 1 it it PRON american_scientific_journal-2734 174 2 was be AUX american_scientific_journal-2734 174 3 also also ADV american_scientific_journal-2734 174 4 analyzed analyze VERB american_scientific_journal-2734 174 5 using use VERB american_scientific_journal-2734 174 6 the the DET american_scientific_journal-2734 174 7 model model NOUN american_scientific_journal-2734 174 8 selection selection NOUN american_scientific_journal-2734 174 9 in in ADP american_scientific_journal-2734 174 10 quantile quantile ADJ american_scientific_journal-2734 174 11 regression regression NOUN american_scientific_journal-2734 174 12 model model NOUN american_scientific_journal-2734 174 13 by by ADP american_scientific_journal-2734 174 14 [ [ X american_scientific_journal-2734 174 15 3 3 NUM american_scientific_journal-2734 174 16 ] ] PUNCT american_scientific_journal-2734 174 17 . . PUNCT american_scientific_journal-2734 175 1 these these DET american_scientific_journal-2734 175 2 data datum NOUN american_scientific_journal-2734 175 3 exist exist VERB american_scientific_journal-2734 175 4 within within ADP american_scientific_journal-2734 175 5 " " PUNCT american_scientific_journal-2734 175 6 bayesqr bayesqr NOUN american_scientific_journal-2734 175 7 " " PUNCT american_scientific_journal-2734 175 8 package package NOUN american_scientific_journal-2734 175 9 in in ADP american_scientific_journal-2734 175 10 r. r. PROPN american_scientific_journal-2734 175 11 the the DET american_scientific_journal-2734 175 12 sample sample NOUN american_scientific_journal-2734 175 13 size size NOUN american_scientific_journal-2734 175 14 of of ADP american_scientific_journal-2734 175 15 prostate prostate NOUN american_scientific_journal-2734 175 16 cancer cancer NOUN american_scientific_journal-2734 175 17 data datum NOUN american_scientific_journal-2734 175 18 was be AUX american_scientific_journal-2734 175 19 of of ADP american_scientific_journal-2734 175 20 97 97 NUM american_scientific_journal-2734 175 21 observations observation NOUN american_scientific_journal-2734 175 22 , , PUNCT american_scientific_journal-2734 175 23 the the DET american_scientific_journal-2734 175 24 response response NOUN american_scientific_journal-2734 175 25 variable variable NOUN american_scientific_journal-2734 175 26 is be AUX american_scientific_journal-2734 175 27 the the DET american_scientific_journal-2734 175 28 level level NOUN american_scientific_journal-2734 175 29 of of ADP american_scientific_journal-2734 175 30 prostate prostate NOUN american_scientific_journal-2734 175 31 antigen antigen NOUN american_scientific_journal-2734 175 32 referred refer VERB american_scientific_journal-2734 175 33 to to ADP american_scientific_journal-2734 175 34 as as ADP american_scientific_journal-2734 175 35 ( ( PUNCT american_scientific_journal-2734 175 36 lpsa lpsa NOUN american_scientific_journal-2734 175 37 ) ) PUNCT american_scientific_journal-2734 175 38 and and CCONJ american_scientific_journal-2734 175 39 there there PRON american_scientific_journal-2734 175 40 are be VERB american_scientific_journal-2734 175 41 eight eight NUM american_scientific_journal-2734 175 42 covariates covariate NOUN american_scientific_journal-2734 175 43 . . PUNCT american_scientific_journal-2734 176 1 these these DET american_scientific_journal-2734 176 2 covariates covariate NOUN american_scientific_journal-2734 176 3 are be AUX american_scientific_journal-2734 176 4 π‘₯π‘₯1 π‘₯π‘₯1 NOUN american_scientific_journal-2734 176 5 logarithm logarithm NOUN american_scientific_journal-2734 176 6 of of ADP american_scientific_journal-2734 176 7 cancer cancer NOUN american_scientific_journal-2734 176 8 amount amount NOUN american_scientific_journal-2734 176 9 , , PUNCT american_scientific_journal-2734 176 10 referred refer VERB american_scientific_journal-2734 176 11 to to ADP american_scientific_journal-2734 176 12 as as ADP american_scientific_journal-2734 176 13 ( ( PUNCT american_scientific_journal-2734 176 14 lcavol lcavol NOUN american_scientific_journal-2734 176 15 ) ) PUNCT american_scientific_journal-2734 176 16 , , PUNCT american_scientific_journal-2734 176 17 π‘₯π‘₯2 π‘₯π‘₯2 ADV american_scientific_journal-2734 176 18 logarithm logarithm NOUN american_scientific_journal-2734 176 19 of of ADP american_scientific_journal-2734 176 20 the the DET american_scientific_journal-2734 176 21 weight weight NOUN american_scientific_journal-2734 176 22 of of ADP american_scientific_journal-2734 176 23 prostate prostate NOUN american_scientific_journal-2734 176 24 , , PUNCT american_scientific_journal-2734 176 25 referred refer VERB american_scientific_journal-2734 176 26 to to ADP american_scientific_journal-2734 176 27 as as ADP american_scientific_journal-2734 176 28 ( ( PUNCT american_scientific_journal-2734 176 29 lweight lweight NOUN american_scientific_journal-2734 176 30 ) ) PUNCT american_scientific_journal-2734 176 31 , , PUNCT american_scientific_journal-2734 176 32 π‘₯π‘₯3 π‘₯π‘₯3 PROPN american_scientific_journal-2734 176 33 age age NOUN american_scientific_journal-2734 176 34 , , PUNCT american_scientific_journal-2734 176 35 π‘₯π‘₯4 π‘₯π‘₯4 NOUN american_scientific_journal-2734 176 36 logarithm logarithm NOUN american_scientific_journal-2734 176 37 of of ADP american_scientific_journal-2734 176 38 the the DET american_scientific_journal-2734 176 39 volume volume NOUN american_scientific_journal-2734 176 40 of of ADP american_scientific_journal-2734 176 41 benign benign ADJ american_scientific_journal-2734 176 42 enlargement enlargement NOUN american_scientific_journal-2734 176 43 of of ADP american_scientific_journal-2734 176 44 the the DET american_scientific_journal-2734 176 45 prostate prostate NOUN american_scientific_journal-2734 176 46 , , PUNCT american_scientific_journal-2734 176 47 referred refer VERB american_scientific_journal-2734 176 48 to to ADP american_scientific_journal-2734 176 49 as as ADP american_scientific_journal-2734 176 50 ( ( PUNCT american_scientific_journal-2734 176 51 lbph lbph PROPN american_scientific_journal-2734 176 52 ) ) PUNCT american_scientific_journal-2734 176 53 , , PUNCT american_scientific_journal-2734 176 54 π‘₯π‘₯5 π‘₯π‘₯5 PROPN american_scientific_journal-2734 176 55 seminal seminal ADJ american_scientific_journal-2734 176 56 vesicle vesicle NOUN american_scientific_journal-2734 176 57 invasion invasion NOUN american_scientific_journal-2734 176 58 , , PUNCT american_scientific_journal-2734 176 59 referred refer VERB american_scientific_journal-2734 176 60 to to ADP american_scientific_journal-2734 176 61 as as ADP american_scientific_journal-2734 176 62 ( ( PUNCT american_scientific_journal-2734 176 63 svi svi ADJ american_scientific_journal-2734 176 64 ) ) PUNCT american_scientific_journal-2734 176 65 , , PUNCT american_scientific_journal-2734 176 66 π‘₯π‘₯6 π‘₯π‘₯6 NOUN american_scientific_journal-2734 176 67 logarithm logarithm NOUN american_scientific_journal-2734 176 68 of of ADP american_scientific_journal-2734 176 69 capsular capsular ADJ american_scientific_journal-2734 176 70 penetration penetration NOUN american_scientific_journal-2734 176 71 in in ADP american_scientific_journal-2734 176 72 prostate prostate NOUN american_scientific_journal-2734 176 73 cancer cancer NOUN american_scientific_journal-2734 176 74 , , PUNCT american_scientific_journal-2734 176 75 referred refer VERB american_scientific_journal-2734 176 76 to to ADP american_scientific_journal-2734 176 77 as as ADP american_scientific_journal-2734 176 78 ( ( PUNCT american_scientific_journal-2734 176 79 lcp lcp PROPN american_scientific_journal-2734 176 80 ) ) PUNCT american_scientific_journal-2734 176 81 , , PUNCT american_scientific_journal-2734 176 82 π‘₯π‘₯7 π‘₯π‘₯7 PROPN american_scientific_journal-2734 176 83 gleason gleason PROPN american_scientific_journal-2734 176 84 score score PROPN american_scientific_journal-2734 176 85 , , PUNCT american_scientific_journal-2734 176 86 referred refer VERB american_scientific_journal-2734 176 87 to to ADP american_scientific_journal-2734 176 88 as as ADP american_scientific_journal-2734 176 89 ( ( PUNCT american_scientific_journal-2734 176 90 gleason gleason PROPN american_scientific_journal-2734 176 91 ) ) PUNCT american_scientific_journal-2734 176 92 and and CCONJ american_scientific_journal-2734 176 93 π‘₯π‘₯8 π‘₯π‘₯8 NOUN american_scientific_journal-2734 176 94 percentage percentage NOUN american_scientific_journal-2734 176 95 of of ADP american_scientific_journal-2734 176 96 gleason gleason PROPN american_scientific_journal-2734 176 97 scores score VERB american_scientific_journal-2734 176 98 4 4 NUM american_scientific_journal-2734 176 99 or or CCONJ american_scientific_journal-2734 176 100 5 5 NUM american_scientific_journal-2734 176 101 , , PUNCT american_scientific_journal-2734 176 102 referred refer VERB american_scientific_journal-2734 176 103 to to ADP american_scientific_journal-2734 176 104 as as ADP american_scientific_journal-2734 176 105 ( ( PUNCT american_scientific_journal-2734 176 106 pgg45 pgg45 NOUN american_scientific_journal-2734 176 107 ) ) PUNCT american_scientific_journal-2734 176 108 . . PUNCT american_scientific_journal-2734 177 1 we we PRON american_scientific_journal-2734 177 2 applied apply VERB american_scientific_journal-2734 177 3 a a DET american_scientific_journal-2734 177 4 new new ADJ american_scientific_journal-2734 177 5 bayesian bayesian NOUN american_scientific_journal-2734 177 6 lasso lasso NOUN american_scientific_journal-2734 177 7 composite composite ADJ american_scientific_journal-2734 177 8 quantile quantile ADJ american_scientific_journal-2734 177 9 regression regression NOUN american_scientific_journal-2734 177 10 ( ( PUNCT american_scientific_journal-2734 177 11 new new ADJ american_scientific_journal-2734 177 12 b b X american_scientific_journal-2734 177 13 lasso lasso NOUN american_scientific_journal-2734 177 14 cq cq NOUN american_scientific_journal-2734 177 15 reg reg NOUN american_scientific_journal-2734 177 16 ) ) PUNCT american_scientific_journal-2734 177 17 to to ADP american_scientific_journal-2734 177 18 the the DET american_scientific_journal-2734 177 19 prostate prostate NOUN american_scientific_journal-2734 177 20 cancer cancer NOUN american_scientific_journal-2734 177 21 data datum NOUN american_scientific_journal-2734 177 22 and and CCONJ american_scientific_journal-2734 177 23 considered consider VERB american_scientific_journal-2734 177 24 h=5 h=5 PUNCT american_scientific_journal-2734 177 25 so so ADV american_scientific_journal-2734 177 26 that that DET american_scientific_journal-2734 177 27 πœƒπœƒβ„Ž πœƒπœƒβ„Ž NOUN american_scientific_journal-2734 178 1 = = PUNCT american_scientific_journal-2734 179 1 [ [ X american_scientific_journal-2734 179 2 0.16 0.16 NUM american_scientific_journal-2734 179 3 , , PUNCT american_scientific_journal-2734 179 4 0.33 0.33 NUM american_scientific_journal-2734 179 5 , , PUNCT american_scientific_journal-2734 179 6 0.50 0.50 NUM american_scientific_journal-2734 179 7 , , PUNCT american_scientific_journal-2734 179 8 0.66 0.66 NUM american_scientific_journal-2734 179 9 , , PUNCT american_scientific_journal-2734 179 10 0.83 0.83 NUM american_scientific_journal-2734 179 11 ] ] PUNCT american_scientific_journal-2734 179 12 π‘€π‘€β„Žπ‘’π‘’π‘£π‘£π‘’π‘’ π‘€π‘€β„Žπ‘’π‘’π‘£π‘£π‘’π‘’ NOUN american_scientific_journal-2734 179 13 β„Ž β„Ž PROPN american_scientific_journal-2734 179 14 = = SYM american_scientific_journal-2734 179 15 1,2,3,4,5 1,2,3,4,5 NUM american_scientific_journal-2734 179 16 ) ) PUNCT american_scientific_journal-2734 179 17 𝑣𝑣𝑒𝑒𝑠𝑠𝐸𝐸𝑒𝑒𝑐𝑐𝑖𝑖𝑖𝑖𝑣𝑣𝑒𝑒𝐿𝐿𝑦𝑦 𝑣𝑣𝑒𝑒𝑠𝑠𝐸𝐸𝑒𝑒𝑐𝑐𝑖𝑖𝑖𝑖𝑣𝑣𝑒𝑒𝐿𝐿𝑦𝑦 PROPN american_scientific_journal-2734 179 18 . . PUNCT american_scientific_journal-2734 180 1 modeling model VERB american_scientific_journal-2734 180 2 the the DET american_scientific_journal-2734 180 3 relationship relationship NOUN american_scientific_journal-2734 180 4 between between ADP american_scientific_journal-2734 180 5 response response NOUN american_scientific_journal-2734 180 6 variable variable NOUN american_scientific_journal-2734 180 7 and and CCONJ american_scientific_journal-2734 180 8 the the DET american_scientific_journal-2734 180 9 covariates covariate NOUN american_scientific_journal-2734 180 10 via via ADP american_scientific_journal-2734 180 11 the the DET american_scientific_journal-2734 180 12 three three NUM american_scientific_journal-2734 180 13 methods method NOUN american_scientific_journal-2734 180 14 is be AUX american_scientific_journal-2734 180 15 summarized summarize VERB american_scientific_journal-2734 180 16 in in ADP american_scientific_journal-2734 180 17 table table NOUN american_scientific_journal-2734 180 18 3 3 NUM american_scientific_journal-2734 180 19 . . PUNCT american_scientific_journal-2734 180 20 table table NOUN american_scientific_journal-2734 180 21 3 3 NUM american_scientific_journal-2734 180 22 : : PUNCT american_scientific_journal-2734 180 23 parameter parameter NOUN american_scientific_journal-2734 180 24 estimates estimate NOUN american_scientific_journal-2734 180 25 via via ADP american_scientific_journal-2734 180 26 the the DET american_scientific_journal-2734 180 27 three three NUM american_scientific_journal-2734 180 28 methods method NOUN american_scientific_journal-2734 180 29 in in ADP american_scientific_journal-2734 180 30 the the DET american_scientific_journal-2734 180 31 comparison comparison NOUN american_scientific_journal-2734 180 32 rq rq VERB american_scientific_journal-2734 180 33 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 PROPN american_scientific_journal-2734 180 34 𝑡𝑡 𝑡𝑡 PROPN american_scientific_journal-2734 180 35 new new PROPN american_scientific_journal-2734 180 36 b b PROPN american_scientific_journal-2734 180 37 lasso lasso NOUN american_scientific_journal-2734 180 38 cq cq NOUN american_scientific_journal-2734 180 39 reg reg PROPN american_scientific_journal-2734 180 40 variables variable NOUN american_scientific_journal-2734 180 41 πœƒπœƒ1 πœƒπœƒ1 NOUN american_scientific_journal-2734 181 1 = = PUNCT american_scientific_journal-2734 181 2 0.16 0.16 NUM american_scientific_journal-2734 181 3 πœƒπœƒ2 πœƒπœƒ2 X american_scientific_journal-2734 181 4 = = SYM american_scientific_journal-2734 181 5 0.33 0.33 NUM american_scientific_journal-2734 181 6 πœƒπœƒ3 πœƒπœƒ3 NOUN american_scientific_journal-2734 181 7 = = SYM american_scientific_journal-2734 181 8 0.50 0.50 NUM american_scientific_journal-2734 181 9 πœƒπœƒ4 πœƒπœƒ4 NOUN american_scientific_journal-2734 181 10 = = SYM american_scientific_journal-2734 181 11 0.66 0.66 NUM american_scientific_journal-2734 181 12 πœƒπœƒ5 πœƒπœƒ5 NOUN american_scientific_journal-2734 181 13 = = NOUN american_scientific_journal-2734 181 14 0.83 0.83 NUM american_scientific_journal-2734 181 15 πœƒπœƒ1 πœƒπœƒ1 NOUN american_scientific_journal-2734 181 16 = = PUNCT american_scientific_journal-2734 181 17 0.16 0.16 NUM american_scientific_journal-2734 181 18 πœƒπœƒ2 πœƒπœƒ2 X american_scientific_journal-2734 181 19 = = SYM american_scientific_journal-2734 181 20 0.33 0.33 NUM american_scientific_journal-2734 181 21 πœƒπœƒ3 πœƒπœƒ3 NOUN american_scientific_journal-2734 181 22 = = SYM american_scientific_journal-2734 181 23 0.50 0.50 NUM american_scientific_journal-2734 181 24 πœƒπœƒ4 πœƒπœƒ4 NOUN american_scientific_journal-2734 181 25 = = SYM american_scientific_journal-2734 181 26 0.66 0.66 NUM american_scientific_journal-2734 181 27 πœƒπœƒ5 πœƒπœƒ5 NOUN american_scientific_journal-2734 181 28 = = NOUN american_scientific_journal-2734 181 29 0.83 0.83 NUM american_scientific_journal-2734 181 30 m=5 m=5 NOUN american_scientific_journal-2734 181 31 intercept intercept NOUN american_scientific_journal-2734 181 32 -0.521 -0.521 PUNCT american_scientific_journal-2734 181 33 -0.152 -0.152 X american_scientific_journal-2734 181 34 -0.057 -0.057 PUNCT american_scientific_journal-2734 181 35 0.170 0.170 NUM american_scientific_journal-2734 181 36 0.519 0.519 NUM american_scientific_journal-2734 181 37 -0.800 -0.800 NUM american_scientific_journal-2734 181 38 -0.305 -0.305 NOUN american_scientific_journal-2734 181 39 -0.0003 -0.0003 NOUN american_scientific_journal-2734 181 40 0.291 0.291 NUM american_scientific_journal-2734 181 41 0.763 0.763 NUM american_scientific_journal-2734 181 42 0.459 0.459 NUM american_scientific_journal-2734 181 43 lcavol lcavol VERB american_scientific_journal-2734 181 44 0.742 0.742 NUM american_scientific_journal-2734 181 45 0.607 0.607 NUM american_scientific_journal-2734 181 46 0.543 0.543 NUM american_scientific_journal-2734 181 47 0.513 0.513 NUM american_scientific_journal-2734 181 48 0.633 0.633 NUM american_scientific_journal-2734 181 49 0.648 0.648 NUM american_scientific_journal-2734 181 50 0.607 0.607 NUM american_scientific_journal-2734 181 51 0.571 0.571 NUM american_scientific_journal-2734 181 52 0.563 0.563 NUM american_scientific_journal-2734 181 53 0.559 0.559 NUM american_scientific_journal-2734 181 54 0.241 0.241 NUM american_scientific_journal-2734 181 55 lweight lweight NOUN american_scientific_journal-2734 181 56 0.273 0.273 NUM american_scientific_journal-2734 181 57 0.270 0.270 NUM american_scientific_journal-2734 181 58 0.238 0.238 NUM american_scientific_journal-2734 181 59 0.156 0.156 NUM american_scientific_journal-2734 181 60 -0.007 -0.007 NOUN american_scientific_journal-2734 181 61 0.227 0.227 NUM american_scientific_journal-2734 181 62 0.245 0.245 NUM american_scientific_journal-2734 181 63 0.219 0.219 NUM american_scientific_journal-2734 181 64 0.185 0.185 NUM american_scientific_journal-2734 181 65 0.162 0.162 NUM american_scientific_journal-2734 181 66 0.155 0.155 NUM american_scientific_journal-2734 181 67 age age NOUN american_scientific_journal-2734 181 68 -0.059 -0.059 PUNCT american_scientific_journal-2734 181 69 -0.169 -0.169 PUNCT american_scientific_journal-2734 181 70 -0.172 -0.172 NOUN american_scientific_journal-2734 181 71 -0.133 -0.133 PUNCT american_scientific_journal-2734 181 72 -0.037 -0.037 PUNCT american_scientific_journal-2734 181 73 -0.093 -0.093 NOUN american_scientific_journal-2734 181 74 -0.122 -0.122 NUM american_scientific_journal-2734 181 75 -0.140 -0.140 NOUN american_scientific_journal-2734 181 76 -0.139 -0.139 PUNCT american_scientific_journal-2734 182 1 -0.119 -0.119 PUNCT american_scientific_journal-2734 182 2 0.152 0.152 NUM american_scientific_journal-2734 182 3 lbph lbph NOUN american_scientific_journal-2734 182 4 0.042 0.042 NUM american_scientific_journal-2734 182 5 0.182 0.182 NUM american_scientific_journal-2734 182 6 0.201 0.201 NUM american_scientific_journal-2734 182 7 0.182 0.182 NUM american_scientific_journal-2734 182 8 0.183 0.183 NUM american_scientific_journal-2734 182 9 0.144 0.144 NUM american_scientific_journal-2734 182 10 0.164 0.164 NUM american_scientific_journal-2734 182 11 0.168 0.168 NUM american_scientific_journal-2734 182 12 0.153 0.153 NUM american_scientific_journal-2734 182 13 0.121 0.121 NUM american_scientific_journal-2734 182 14 0.208 0.208 NUM american_scientific_journal-2734 182 15 svi svi NOUN american_scientific_journal-2734 182 16 0.341 0.341 NUM american_scientific_journal-2734 182 17 0.243 0.243 NUM american_scientific_journal-2734 182 18 0.286 0.286 NUM american_scientific_journal-2734 182 19 0.259 0.259 NUM american_scientific_journal-2734 182 20 0.309 0.309 NUM american_scientific_journal-2734 182 21 0.211 0.211 NUM american_scientific_journal-2734 182 22 0.261 0.261 NUM american_scientific_journal-2734 182 23 0.292 0.292 NUM american_scientific_journal-2734 182 24 0.308 0.308 NUM american_scientific_journal-2734 182 25 0.335 0.335 NUM american_scientific_journal-2734 182 26 0.252 0.252 NUM american_scientific_journal-2734 182 27 lcp lcp NOUN american_scientific_journal-2734 182 28 -0.349 -0.349 PUNCT american_scientific_journal-2734 182 29 -0.176 -0.176 NOUN american_scientific_journal-2734 182 30 -0.158 -0.158 PUNCT american_scientific_journal-2734 182 31 -0.087 -0.087 PUNCT american_scientific_journal-2734 182 32 -0.112 -0.112 PUNCT american_scientific_journal-2734 182 33 -0.258 -0.258 NOUN american_scientific_journal-2734 182 34 -0.223 -0.223 NUM american_scientific_journal-2734 182 35 -0.164 -0.164 NOUN american_scientific_journal-2734 182 36 -0.101 -0.101 PUNCT american_scientific_journal-2734 182 37 -0.024 -0.024 ADP american_scientific_journal-2734 182 38 0.308 0.308 NUM american_scientific_journal-2734 182 39 gleason gleason NOUN american_scientific_journal-2734 182 40 -0.041 -0.041 PUNCT american_scientific_journal-2734 182 41 0.046 0.046 NUM american_scientific_journal-2734 182 42 0.127 0.127 NUM american_scientific_journal-2734 182 43 0.032 0.032 NUM american_scientific_journal-2734 182 44 -0.073 -0.073 PUNCT american_scientific_journal-2734 182 45 -0.023 -0.023 NOUN american_scientific_journal-2734 182 46 0.005 0.005 NUM american_scientific_journal-2734 182 47 0.032 0.032 NUM american_scientific_journal-2734 182 48 0.040 0.040 NUM american_scientific_journal-2734 182 49 0.041 0.041 NUM american_scientific_journal-2734 182 50 0.114 0.114 NUM american_scientific_journal-2734 182 51 pgg45 pgg45 NOUN american_scientific_journal-2734 182 52 0.318 0.318 NUM american_scientific_journal-2734 182 53 0.153 0.153 NUM american_scientific_journal-2734 182 54 0.099 0.099 NUM american_scientific_journal-2734 182 55 0.115 0.115 NUM american_scientific_journal-2734 182 56 0.085 0.085 NUM american_scientific_journal-2734 182 57 0.214 0.214 NUM american_scientific_journal-2734 182 58 0.195 0.195 NUM american_scientific_journal-2734 182 59 0.147 0.147 NUM american_scientific_journal-2734 182 60 0.106 0.106 NUM american_scientific_journal-2734 182 61 0.071 0.071 NUM american_scientific_journal-2734 182 62 0.108 0.108 NUM american_scientific_journal-2734 182 63 the the DET american_scientific_journal-2734 182 64 parameter parameter NOUN american_scientific_journal-2734 182 65 estimates estimate NOUN american_scientific_journal-2734 182 66 in in ADP american_scientific_journal-2734 182 67 table table NOUN american_scientific_journal-2734 182 68 3 3 NUM american_scientific_journal-2734 182 69 are be AUX american_scientific_journal-2734 182 70 used use VERB american_scientific_journal-2734 182 71 to to PART american_scientific_journal-2734 182 72 calculate calculate VERB american_scientific_journal-2734 182 73 the the DET american_scientific_journal-2734 182 74 mean mean ADJ american_scientific_journal-2734 182 75 square square NOUN american_scientific_journal-2734 182 76 error error NOUN american_scientific_journal-2734 182 77 ( ( PUNCT american_scientific_journal-2734 182 78 mse mse NOUN american_scientific_journal-2734 182 79 ) ) PUNCT american_scientific_journal-2734 182 80 , , PUNCT american_scientific_journal-2734 182 81 as as SCONJ american_scientific_journal-2734 182 82 shown show VERB american_scientific_journal-2734 182 83 in in ADP american_scientific_journal-2734 182 84 table table NOUN american_scientific_journal-2734 182 85 4 4 NUM american_scientific_journal-2734 182 86 . . PUNCT american_scientific_journal-2734 182 87 american american PROPN american_scientific_journal-2734 182 88 scientific scientific ADJ american_scientific_journal-2734 182 89 research research PROPN american_scientific_journal-2734 182 90 journal journal NOUN american_scientific_journal-2734 182 91 for for ADP american_scientific_journal-2734 182 92 engineering engineering NOUN american_scientific_journal-2734 182 93 , , PUNCT american_scientific_journal-2734 182 94 technology technology NOUN american_scientific_journal-2734 182 95 , , PUNCT american_scientific_journal-2734 182 96 and and CCONJ american_scientific_journal-2734 182 97 sciences science NOUN american_scientific_journal-2734 182 98 ( ( PUNCT american_scientific_journal-2734 182 99 asrjets asrjet NOUN american_scientific_journal-2734 182 100 ) ) PUNCT american_scientific_journal-2734 182 101 ( ( PUNCT american_scientific_journal-2734 182 102 2017 2017 NUM american_scientific_journal-2734 182 103 ) ) PUNCT american_scientific_journal-2734 182 104 volume volume NOUN american_scientific_journal-2734 182 105 29 29 NUM american_scientific_journal-2734 182 106 , , PUNCT american_scientific_journal-2734 182 107 no no DET american_scientific_journal-2734 182 108 1 1 NUM american_scientific_journal-2734 182 109 , , PUNCT american_scientific_journal-2734 182 110 pp pp ADV american_scientific_journal-2734 182 111 138 138 NUM american_scientific_journal-2734 182 112 - - SYM american_scientific_journal-2734 182 113 152 152 NUM american_scientific_journal-2734 182 114 150 150 NUM american_scientific_journal-2734 182 115 table table NOUN american_scientific_journal-2734 182 116 4 4 NUM american_scientific_journal-2734 182 117 : : PUNCT american_scientific_journal-2734 182 118 mean mean VERB american_scientific_journal-2734 182 119 square square ADJ american_scientific_journal-2734 182 120 error error NOUN american_scientific_journal-2734 182 121 ( ( PUNCT american_scientific_journal-2734 182 122 mse mse NOUN american_scientific_journal-2734 182 123 ) ) PUNCT american_scientific_journal-2734 182 124 for for ADP american_scientific_journal-2734 182 125 the the DET american_scientific_journal-2734 182 126 three three NUM american_scientific_journal-2734 182 127 methods method NOUN american_scientific_journal-2734 182 128 methods method NOUN american_scientific_journal-2734 182 129 πœƒπœƒ1 πœƒπœƒ1 NOUN american_scientific_journal-2734 182 130 = = PUNCT american_scientific_journal-2734 183 1 0.16 0.16 NUM american_scientific_journal-2734 183 2 πœƒπœƒ2 πœƒπœƒ2 X american_scientific_journal-2734 183 3 = = SYM american_scientific_journal-2734 183 4 0.33 0.33 NUM american_scientific_journal-2734 183 5 πœƒπœƒ3 πœƒπœƒ3 NOUN american_scientific_journal-2734 183 6 = = SYM american_scientific_journal-2734 183 7 0.50 0.50 NUM american_scientific_journal-2734 183 8 πœƒπœƒ4 πœƒπœƒ4 NOUN american_scientific_journal-2734 183 9 = = SYM american_scientific_journal-2734 183 10 0.66 0.66 NUM american_scientific_journal-2734 183 11 πœƒπœƒ5 πœƒπœƒ5 NOUN american_scientific_journal-2734 183 12 = = NOUN american_scientific_journal-2734 183 13 0.83 0.83 NUM american_scientific_journal-2734 183 14 rq rq VERB american_scientific_journal-2734 183 15 9.487 9.487 NUM american_scientific_journal-2734 183 16 7.401 7.401 NUM american_scientific_journal-2734 183 17 6.912 6.912 NUM american_scientific_journal-2734 183 18 5.820 5.820 NUM american_scientific_journal-2734 183 19 5.358 5.358 NUM american_scientific_journal-2734 183 20 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 PROPN american_scientific_journal-2734 183 21 𝑡𝑡 𝑡𝑡 PROPN american_scientific_journal-2734 183 22 11.247 11.247 NUM american_scientific_journal-2734 183 23 8.234 8.234 NUM american_scientific_journal-2734 183 24 6.618 6.618 NUM american_scientific_journal-2734 183 25 5.252 5.252 NUM american_scientific_journal-2734 183 26 5.412 5.412 NUM american_scientific_journal-2734 183 27 new new ADJ american_scientific_journal-2734 183 28 b b NOUN american_scientific_journal-2734 183 29 lasso lasso NOUN american_scientific_journal-2734 183 30 cq cq INTJ american_scientific_journal-2734 183 31 reg reg NOUN american_scientific_journal-2734 183 32 5.077 5.077 NUM american_scientific_journal-2734 183 33 table table NOUN american_scientific_journal-2734 183 34 4 4 NUM american_scientific_journal-2734 183 35 shows show VERB american_scientific_journal-2734 183 36 the the DET american_scientific_journal-2734 183 37 value value NOUN american_scientific_journal-2734 183 38 of of ADP american_scientific_journal-2734 183 39 ( ( PUNCT american_scientific_journal-2734 183 40 mse mse NOUN american_scientific_journal-2734 183 41 ) ) PUNCT american_scientific_journal-2734 183 42 with with ADP american_scientific_journal-2734 183 43 our our PRON american_scientific_journal-2734 183 44 proposed propose VERB american_scientific_journal-2734 183 45 method method NOUN american_scientific_journal-2734 183 46 ( ( PUNCT american_scientific_journal-2734 183 47 new new ADJ american_scientific_journal-2734 183 48 b b X american_scientific_journal-2734 183 49 lasso lasso NOUN american_scientific_journal-2734 183 50 cq cq NOUN american_scientific_journal-2734 183 51 reg reg NOUN american_scientific_journal-2734 183 52 ) ) PUNCT american_scientific_journal-2734 183 53 . . PUNCT american_scientific_journal-2734 184 1 this this DET american_scientific_journal-2734 184 2 value value NOUN american_scientific_journal-2734 184 3 is be AUX american_scientific_journal-2734 184 4 5.077 5.077 NUM american_scientific_journal-2734 184 5 . . PUNCT american_scientific_journal-2734 184 6 table table NOUN american_scientific_journal-2734 184 7 4 4 NUM american_scientific_journal-2734 184 8 also also ADV american_scientific_journal-2734 184 9 indicates indicate VERB american_scientific_journal-2734 184 10 the the DET american_scientific_journal-2734 184 11 results result NOUN american_scientific_journal-2734 184 12 of of ADP american_scientific_journal-2734 184 13 ( ( PUNCT american_scientific_journal-2734 184 14 mse mse NOUN american_scientific_journal-2734 184 15 ) ) PUNCT american_scientific_journal-2734 184 16 for for ADP american_scientific_journal-2734 184 17 the the DET american_scientific_journal-2734 184 18 rq rq NOUN american_scientific_journal-2734 184 19 and and CCONJ american_scientific_journal-2734 184 20 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 PROPN american_scientific_journal-2734 184 21 𝑡𝑡 𝑡𝑡 PROPN american_scientific_journal-2734 184 22 methods method NOUN american_scientific_journal-2734 184 23 . . PUNCT american_scientific_journal-2734 185 1 the the DET american_scientific_journal-2734 185 2 ( ( PUNCT american_scientific_journal-2734 185 3 mse mse NOUN american_scientific_journal-2734 185 4 ) ) PUNCT american_scientific_journal-2734 185 5 calculated calculate VERB american_scientific_journal-2734 185 6 by by ADP american_scientific_journal-2734 185 7 our our PRON american_scientific_journal-2734 185 8 proposed propose VERB american_scientific_journal-2734 185 9 method method NOUN american_scientific_journal-2734 185 10 ( ( PUNCT american_scientific_journal-2734 185 11 new new ADJ american_scientific_journal-2734 185 12 b b X american_scientific_journal-2734 185 13 lasso lasso NOUN american_scientific_journal-2734 185 14 cq cq NOUN american_scientific_journal-2734 185 15 reg reg NOUN american_scientific_journal-2734 185 16 ) ) PUNCT american_scientific_journal-2734 185 17 is be AUX american_scientific_journal-2734 185 18 much much ADV american_scientific_journal-2734 185 19 smaller small ADJ american_scientific_journal-2734 185 20 than than ADP american_scientific_journal-2734 185 21 the the DET american_scientific_journal-2734 185 22 ( ( PUNCT american_scientific_journal-2734 185 23 mse mse NOUN american_scientific_journal-2734 185 24 ) ) PUNCT american_scientific_journal-2734 185 25 calculated calculate VERB american_scientific_journal-2734 185 26 by by ADP american_scientific_journal-2734 185 27 rq rq NOUN american_scientific_journal-2734 185 28 and and CCONJ american_scientific_journal-2734 185 29 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 PROPN american_scientific_journal-2734 185 30 𝑡𝑡 𝑡𝑡 PROPN american_scientific_journal-2734 185 31 methods method NOUN american_scientific_journal-2734 185 32 . . PUNCT american_scientific_journal-2734 186 1 this this PRON american_scientific_journal-2734 186 2 indicates indicate VERB american_scientific_journal-2734 186 3 that that SCONJ american_scientific_journal-2734 186 4 our our PRON american_scientific_journal-2734 186 5 proposed propose VERB american_scientific_journal-2734 186 6 method method NOUN american_scientific_journal-2734 186 7 performs perform VERB american_scientific_journal-2734 186 8 better well ADJ american_scientific_journal-2734 186 9 than than ADP american_scientific_journal-2734 186 10 the the DET american_scientific_journal-2734 186 11 rq rq NOUN american_scientific_journal-2734 186 12 and and CCONJ american_scientific_journal-2734 186 13 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 PROPN american_scientific_journal-2734 186 14 𝑡𝑡 𝑡𝑡 PROPN american_scientific_journal-2734 186 15 methods method NOUN american_scientific_journal-2734 186 16 for for ADP american_scientific_journal-2734 186 17 all all DET american_scientific_journal-2734 186 18 selected select VERB american_scientific_journal-2734 186 19 quantile quantile ADJ american_scientific_journal-2734 186 20 levels level NOUN american_scientific_journal-2734 186 21 . . PUNCT american_scientific_journal-2734 187 1 5 5 X american_scientific_journal-2734 187 2 . . X american_scientific_journal-2734 187 3 conclusions conclusion NOUN american_scientific_journal-2734 187 4 and and CCONJ american_scientific_journal-2734 187 5 recommendations recommendation NOUN american_scientific_journal-2734 187 6 in in ADP american_scientific_journal-2734 187 7 this this DET american_scientific_journal-2734 187 8 paper paper NOUN american_scientific_journal-2734 187 9 , , PUNCT american_scientific_journal-2734 187 10 we we PRON american_scientific_journal-2734 187 11 developed develop VERB american_scientific_journal-2734 187 12 an an DET american_scientific_journal-2734 187 13 efficient efficient ADJ american_scientific_journal-2734 187 14 method method NOUN american_scientific_journal-2734 187 15 ( ( PUNCT american_scientific_journal-2734 187 16 new new ADJ american_scientific_journal-2734 187 17 b b X american_scientific_journal-2734 187 18 lasso lasso NOUN american_scientific_journal-2734 187 19 cq cq NOUN american_scientific_journal-2734 187 20 reg reg NOUN american_scientific_journal-2734 187 21 ) ) PUNCT american_scientific_journal-2734 187 22 to to PART american_scientific_journal-2734 187 23 estimate estimate VERB american_scientific_journal-2734 187 24 model model NOUN american_scientific_journal-2734 187 25 parameters parameter NOUN american_scientific_journal-2734 187 26 and and CCONJ american_scientific_journal-2734 187 27 variables variable NOUN american_scientific_journal-2734 187 28 selection selection NOUN american_scientific_journal-2734 187 29 simultaneously simultaneously ADV american_scientific_journal-2734 187 30 , , PUNCT american_scientific_journal-2734 187 31 in in ADP american_scientific_journal-2734 187 32 composite composite ADJ american_scientific_journal-2734 187 33 quantile quantile ADJ american_scientific_journal-2734 187 34 regression regression NOUN american_scientific_journal-2734 187 35 model model NOUN american_scientific_journal-2734 187 36 via via ADP american_scientific_journal-2734 187 37 scale scale NOUN american_scientific_journal-2734 187 38 mixture mixture NOUN american_scientific_journal-2734 187 39 uniform uniform NOUN american_scientific_journal-2734 187 40 as as ADP american_scientific_journal-2734 187 41 prior prior ADJ american_scientific_journal-2734 187 42 distributions distribution NOUN american_scientific_journal-2734 187 43 on on ADP american_scientific_journal-2734 187 44 the the DET american_scientific_journal-2734 187 45 parameters parameter NOUN american_scientific_journal-2734 187 46 , , PUNCT american_scientific_journal-2734 187 47 by by ADP american_scientific_journal-2734 187 48 using use VERB american_scientific_journal-2734 187 49 bayesian bayesian NOUN american_scientific_journal-2734 187 50 approach approach NOUN american_scientific_journal-2734 187 51 . . PUNCT american_scientific_journal-2734 188 1 the the DET american_scientific_journal-2734 188 2 simulation simulation NOUN american_scientific_journal-2734 188 3 study study NOUN american_scientific_journal-2734 188 4 illustrated illustrate VERB american_scientific_journal-2734 188 5 that that SCONJ american_scientific_journal-2734 188 6 our our PRON american_scientific_journal-2734 188 7 proposed propose VERB american_scientific_journal-2734 188 8 method method NOUN american_scientific_journal-2734 188 9 is be AUX american_scientific_journal-2734 188 10 more more ADV american_scientific_journal-2734 188 11 efficient efficient ADJ american_scientific_journal-2734 188 12 than than ADP american_scientific_journal-2734 188 13 other other ADJ american_scientific_journal-2734 188 14 methods method NOUN american_scientific_journal-2734 188 15 . . PUNCT american_scientific_journal-2734 189 1 the the DET american_scientific_journal-2734 189 2 benefits benefit NOUN american_scientific_journal-2734 189 3 of of ADP american_scientific_journal-2734 189 4 using use VERB american_scientific_journal-2734 189 5 the the DET american_scientific_journal-2734 189 6 new new ADJ american_scientific_journal-2734 189 7 b b PROPN american_scientific_journal-2734 189 8 lasso lasso NOUN american_scientific_journal-2734 189 9 cq cq NOUN american_scientific_journal-2734 189 10 reg reg NOUN american_scientific_journal-2734 189 11 method method NOUN american_scientific_journal-2734 189 12 are be AUX american_scientific_journal-2734 189 13 supported support VERB american_scientific_journal-2734 189 14 by by ADP american_scientific_journal-2734 189 15 the the DET american_scientific_journal-2734 189 16 simulations simulation NOUN american_scientific_journal-2734 189 17 performed perform VERB american_scientific_journal-2734 189 18 as as ADV american_scientific_journal-2734 189 19 well well ADV american_scientific_journal-2734 189 20 as as ADP american_scientific_journal-2734 189 21 by by ADP american_scientific_journal-2734 189 22 the the DET american_scientific_journal-2734 189 23 analysis analysis NOUN american_scientific_journal-2734 189 24 of of ADP american_scientific_journal-2734 189 25 the the DET american_scientific_journal-2734 189 26 real real ADJ american_scientific_journal-2734 189 27 data datum NOUN american_scientific_journal-2734 189 28 . . PUNCT american_scientific_journal-2734 190 1 the the DET american_scientific_journal-2734 190 2 results result NOUN american_scientific_journal-2734 190 3 indicate indicate VERB american_scientific_journal-2734 190 4 higher high ADJ american_scientific_journal-2734 190 5 accuracy accuracy NOUN american_scientific_journal-2734 190 6 in in ADP american_scientific_journal-2734 190 7 case case NOUN american_scientific_journal-2734 190 8 of of ADP american_scientific_journal-2734 190 9 the the DET american_scientific_journal-2734 190 10 new new ADJ american_scientific_journal-2734 190 11 b b PROPN american_scientific_journal-2734 190 12 lasso lasso NOUN american_scientific_journal-2734 190 13 cq cq INTJ american_scientific_journal-2734 190 14 reg reg NOUN american_scientific_journal-2734 190 15 method method NOUN american_scientific_journal-2734 190 16 . . PUNCT american_scientific_journal-2734 191 1 so so ADV american_scientific_journal-2734 191 2 , , PUNCT american_scientific_journal-2734 191 3 we we PRON american_scientific_journal-2734 191 4 recommended recommend VERB american_scientific_journal-2734 191 5 , , PUNCT american_scientific_journal-2734 191 6 the the DET american_scientific_journal-2734 191 7 researchers researcher NOUN american_scientific_journal-2734 191 8 are be AUX american_scientific_journal-2734 191 9 working work VERB american_scientific_journal-2734 191 10 in in ADP american_scientific_journal-2734 191 11 field field NOUN american_scientific_journal-2734 191 12 of of ADP american_scientific_journal-2734 191 13 quantile quantile ADJ american_scientific_journal-2734 191 14 regression regression NOUN american_scientific_journal-2734 191 15 using use VERB american_scientific_journal-2734 191 16 composite composite ADJ american_scientific_journal-2734 191 17 quantile quantile ADJ american_scientific_journal-2734 191 18 regression regression NOUN american_scientific_journal-2734 191 19 . . PUNCT american_scientific_journal-2734 192 1 because because SCONJ american_scientific_journal-2734 192 2 of of ADP american_scientific_journal-2734 192 3 , , PUNCT american_scientific_journal-2734 192 4 this this DET american_scientific_journal-2734 192 5 approach approach NOUN american_scientific_journal-2734 192 6 informative informative ADJ american_scientific_journal-2734 192 7 for for ADP american_scientific_journal-2734 192 8 all all DET american_scientific_journal-2734 192 9 quantile quantile ADJ american_scientific_journal-2734 192 10 level level NOUN american_scientific_journal-2734 192 11 under under ADP american_scientific_journal-2734 192 12 study study NOUN american_scientific_journal-2734 192 13 . . PUNCT american_scientific_journal-2734 193 1 references reference NOUN american_scientific_journal-2734 193 2 [ [ X american_scientific_journal-2734 193 3 1]alhamzawi 1]alhamzawi NUM american_scientific_journal-2734 193 4 . . PUNCT american_scientific_journal-2734 194 1 r. r. PROPN american_scientific_journal-2734 194 2 , , PUNCT american_scientific_journal-2734 194 3 & & CCONJ american_scientific_journal-2734 194 4 yu yu PROPN american_scientific_journal-2734 194 5 , , PUNCT american_scientific_journal-2734 194 6 k. k. PUNCT american_scientific_journal-2734 195 1 β€œ " PUNCT american_scientific_journal-2734 195 2 bayesian bayesian VERB american_scientific_journal-2734 195 3 lasso lasso NOUN american_scientific_journal-2734 195 4 - - PUNCT american_scientific_journal-2734 195 5 mixed mix VERB american_scientific_journal-2734 195 6 quantile quantile ADJ american_scientific_journal-2734 195 7 regression regression NOUN american_scientific_journal-2734 195 8 ” " PUNCT american_scientific_journal-2734 195 9 journal journal NOUN american_scientific_journal-2734 195 10 of of ADP american_scientific_journal-2734 195 11 statistical statistical ADJ american_scientific_journal-2734 195 12 computation computation NOUN american_scientific_journal-2734 195 13 and and CCONJ american_scientific_journal-2734 195 14 simulation simulation NOUN american_scientific_journal-2734 195 15 , , PUNCT american_scientific_journal-2734 195 16 84(4),pp 84(4),pp NUM american_scientific_journal-2734 195 17 . . PUNCT american_scientific_journal-2734 196 1 868 868 NUM american_scientific_journal-2734 196 2 - - SYM american_scientific_journal-2734 196 3 880 880 NUM american_scientific_journal-2734 196 4 , , PUNCT american_scientific_journal-2734 196 5 2014 2014 NUM american_scientific_journal-2734 196 6 . . PUNCT american_scientific_journal-2734 197 1 [ [ X american_scientific_journal-2734 197 2 2]alhamzawi 2]alhamzawi NUM american_scientific_journal-2734 197 3 , , PUNCT american_scientific_journal-2734 197 4 rahim rahim PROPN american_scientific_journal-2734 197 5 . . PUNCT american_scientific_journal-2734 198 1 β€œ " PUNCT american_scientific_journal-2734 198 2 bayesian bayesian NOUN american_scientific_journal-2734 198 3 elastic elastic ADJ american_scientific_journal-2734 198 4 net net ADJ american_scientific_journal-2734 198 5 tobit tobit NOUN american_scientific_journal-2734 198 6 quantile quantile PROPN american_scientific_journal-2734 198 7 regression regression NOUN american_scientific_journal-2734 198 8 . . PUNCT american_scientific_journal-2734 199 1 ” " PUNCT american_scientific_journal-2734 199 2 communications communication NOUN american_scientific_journal-2734 199 3 in in ADP american_scientific_journal-2734 199 4 statisticssimulation statisticssimulation NOUN american_scientific_journal-2734 199 5 and and CCONJ american_scientific_journal-2734 199 6 computation computation NOUN american_scientific_journal-2734 199 7 ” " PUNCT american_scientific_journal-2734 199 8 45(7),pp 45(7),pp NUM american_scientific_journal-2734 199 9 . . 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NOUN american_scientific_journal-2734 206 36 2 2 NUM american_scientific_journal-2734 206 37 , , PUNCT american_scientific_journal-2734 206 38 ( ( PUNCT american_scientific_journal-2734 206 39 2013 2013 NUM american_scientific_journal-2734 206 40 ) ) PUNCT american_scientific_journal-2734 206 41 . . PUNCT american_scientific_journal-2734 207 1 [ [ X american_scientific_journal-2734 207 2 6]bradic 6]bradic NUM american_scientific_journal-2734 207 3 , , PUNCT american_scientific_journal-2734 207 4 j. j. PROPN american_scientific_journal-2734 207 5 , , PUNCT american_scientific_journal-2734 207 6 fan fan PROPN american_scientific_journal-2734 207 7 , , PUNCT american_scientific_journal-2734 207 8 j. j. PROPN american_scientific_journal-2734 207 9 , , PUNCT american_scientific_journal-2734 207 10 & & CCONJ american_scientific_journal-2734 207 11 wang wang PROPN american_scientific_journal-2734 207 12 , , PUNCT american_scientific_journal-2734 207 13 w. w. PROPN american_scientific_journal-2734 207 14 β€œ " PUNCT american_scientific_journal-2734 207 15 penalized penalize VERB american_scientific_journal-2734 207 16 composite composite ADJ american_scientific_journal-2734 207 17 quasi‐likelihood quasi‐likelihood NOUN american_scientific_journal-2734 207 18 for for ADP american_scientific_journal-2734 207 19 ultrahigh ultrahigh ADJ american_scientific_journal-2734 207 20 dimensional dimensional ADJ american_scientific_journal-2734 207 21 variable variable ADJ american_scientific_journal-2734 207 22 selection selection NOUN american_scientific_journal-2734 207 23 . . PUNCT american_scientific_journal-2734 207 24 ” " PUNCT american_scientific_journal-2734 208 1 journal journal NOUN american_scientific_journal-2734 208 2 of of ADP american_scientific_journal-2734 208 3 the the DET american_scientific_journal-2734 208 4 royal royal ADJ american_scientific_journal-2734 208 5 statistical statistical ADJ american_scientific_journal-2734 208 6 society society NOUN american_scientific_journal-2734 208 7 : : PUNCT american_scientific_journal-2734 208 8 series series PROPN american_scientific_journal-2734 208 9 b b PROPN american_scientific_journal-2734 208 10 ( ( PUNCT american_scientific_journal-2734 208 11 statistical statistical ADJ american_scientific_journal-2734 208 12 methodology methodology NOUN american_scientific_journal-2734 208 13 ) ) PUNCT american_scientific_journal-2734 208 14 , , PUNCT american_scientific_journal-2734 208 15 73(3 73(3 NUM american_scientific_journal-2734 208 16 ) ) PUNCT american_scientific_journal-2734 208 17 , , PUNCT american_scientific_journal-2734 208 18 pp.325 pp.325 PROPN american_scientific_journal-2734 208 19 - - PUNCT american_scientific_journal-2734 208 20 349,(2011 349,(2011 NUM american_scientific_journal-2734 208 21 ) ) PUNCT american_scientific_journal-2734 208 22 . . 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PUNCT american_scientific_journal-2734 210 1 β€œ " PUNCT american_scientific_journal-2734 210 2 the the DET american_scientific_journal-2734 210 3 dantzig dantzig NOUN american_scientific_journal-2734 210 4 selector selector NOUN american_scientific_journal-2734 210 5 : : PUNCT american_scientific_journal-2734 210 6 statistical statistical ADJ american_scientific_journal-2734 210 7 estimation estimation NOUN american_scientific_journal-2734 210 8 when when SCONJ american_scientific_journal-2734 210 9 p p NOUN american_scientific_journal-2734 210 10 is be AUX american_scientific_journal-2734 210 11 much much ADV american_scientific_journal-2734 210 12 larger large ADJ american_scientific_journal-2734 210 13 than than ADP american_scientific_journal-2734 210 14 . . PUNCT american_scientific_journal-2734 210 15 ” " PUNCT american_scientific_journal-2734 211 1 the the DET american_scientific_journal-2734 211 2 annals annal NOUN american_scientific_journal-2734 211 3 of of ADP american_scientific_journal-2734 211 4 statistics statistic NOUN american_scientific_journal-2734 211 5 , , PUNCT american_scientific_journal-2734 211 6 pp2313 pp2313 PROPN american_scientific_journal-2734 211 7 - - PUNCT american_scientific_journal-2734 211 8 2351,(2007 2351,(2007 NUM american_scientific_journal-2734 211 9 ) ) PUNCT american_scientific_journal-2734 211 10 . . PUNCT american_scientific_journal-2734 212 1 [ [ X american_scientific_journal-2734 212 2 8]cade 8]cade NUM american_scientific_journal-2734 212 3 , , PUNCT american_scientific_journal-2734 212 4 b. b. PROPN american_scientific_journal-2734 212 5 s. s. PROPN american_scientific_journal-2734 212 6 , , PUNCT american_scientific_journal-2734 212 7 & & CCONJ american_scientific_journal-2734 212 8 noon noon PROPN american_scientific_journal-2734 212 9 , , PUNCT american_scientific_journal-2734 212 10 b. b. PROPN american_scientific_journal-2734 212 11 r. r. PROPN american_scientific_journal-2734 212 12 β€œ " PUNCT american_scientific_journal-2734 212 13 a a DET american_scientific_journal-2734 212 14 gentle gentle ADJ american_scientific_journal-2734 212 15 introduction introduction NOUN american_scientific_journal-2734 212 16 to to PART american_scientific_journal-2734 212 17 quantile quantile VERB american_scientific_journal-2734 212 18 regression regression NOUN american_scientific_journal-2734 212 19 for for ADP american_scientific_journal-2734 212 20 ecologists ecologist NOUN american_scientific_journal-2734 212 21 . . 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NOUN american_scientific_journal-2734 216 11 β€œ " PUNCT american_scientific_journal-2734 216 12 quantile quantile ADJ american_scientific_journal-2734 216 13 regression regression NOUN american_scientific_journal-2734 216 14 analysis analysis NOUN american_scientific_journal-2734 216 15 of of ADP american_scientific_journal-2734 216 16 the the DET american_scientific_journal-2734 216 17 effect effect NOUN american_scientific_journal-2734 216 18 of of ADP american_scientific_journal-2734 216 19 farmers farmer NOUN american_scientific_journal-2734 216 20 ’ ’ PART american_scientific_journal-2734 216 21 attitudes attitude NOUN american_scientific_journal-2734 216 22 and and CCONJ american_scientific_journal-2734 216 23 perceptions perception NOUN american_scientific_journal-2734 216 24 on on ADP american_scientific_journal-2734 216 25 market market NOUN american_scientific_journal-2734 216 26 participation participation NOUN american_scientific_journal-2734 216 27 . . 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PUNCT american_scientific_journal-2734 220 15 ” " PUNCT american_scientific_journal-2734 221 1 a a DET american_scientific_journal-2734 221 2 quantile quantile ADJ american_scientific_journal-2734 221 3 regression regression NOUN american_scientific_journal-2734 221 4 survival survival NOUN american_scientific_journal-2734 221 5 analysis analysis NOUN american_scientific_journal-2734 221 6 . . PUNCT american_scientific_journal-2734 222 1 journal journal NOUN american_scientific_journal-2734 222 2 of of ADP american_scientific_journal-2734 222 3 the the DET american_scientific_journal-2734 222 4 american american ADJ american_scientific_journal-2734 222 5 statistical statistical ADJ american_scientific_journal-2734 222 6 association,96(454),pp association,96(454),pp NOUN american_scientific_journal-2734 222 7 . . 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CCONJ american_scientific_journal-2734 227 11 β€œ " PUNCT american_scientific_journal-2734 227 12 algorithm algorithm NOUN american_scientific_journal-2734 227 13 as as ADP american_scientific_journal-2734 227 14 229 229 NUM american_scientific_journal-2734 227 15 : : PUNCT american_scientific_journal-2734 227 16 computing compute VERB american_scientific_journal-2734 227 17 regression regression NOUN american_scientific_journal-2734 227 18 quantiles quantile NOUN american_scientific_journal-2734 227 19 . . PUNCT american_scientific_journal-2734 227 20 ” " PUNCT american_scientific_journal-2734 228 1 journal journal NOUN american_scientific_journal-2734 228 2 of of ADP american_scientific_journal-2734 228 3 the the DET american_scientific_journal-2734 228 4 royal royal ADJ american_scientific_journal-2734 228 5 statistical statistical ADJ american_scientific_journal-2734 228 6 society society NOUN american_scientific_journal-2734 228 7 . . PUNCT american_scientific_journal-2734 229 1 series series PROPN american_scientific_journal-2734 229 2 c c PROPN american_scientific_journal-2734 229 3 ( ( PUNCT american_scientific_journal-2734 229 4 applied apply VERB american_scientific_journal-2734 229 5 statistics statistic NOUN american_scientific_journal-2734 229 6 ) ) PUNCT american_scientific_journal-2734 229 7 , , PUNCT american_scientific_journal-2734 229 8 36(3 36(3 NUM american_scientific_journal-2734 229 9 ) ) PUNCT american_scientific_journal-2734 229 10 , , PUNCT american_scientific_journal-2734 229 11 pp.383 pp.383 NOUN american_scientific_journal-2734 229 12 - - PUNCT american_scientific_journal-2734 229 13 393,(1987 393,(1987 NUM american_scientific_journal-2734 229 14 ) ) PUNCT american_scientific_journal-2734 229 15 . . 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PUNCT american_scientific_journal-2734 232 1 ( ( PUNCT american_scientific_journal-2734 232 2 no no INTJ american_scientific_journal-2734 232 3 . . NOUN american_scientific_journal-2734 232 4 38 38 NUM american_scientific_journal-2734 232 5 ) ) PUNCT american_scientific_journal-2734 232 6 . . PUNCT american_scientific_journal-2734 233 1 [ [ X american_scientific_journal-2734 233 2 16]-kozumi 16]-kozumi NUM american_scientific_journal-2734 233 3 , , PUNCT american_scientific_journal-2734 233 4 hideo hideo NOUN american_scientific_journal-2734 233 5 , , PUNCT american_scientific_journal-2734 233 6 and and CCONJ american_scientific_journal-2734 233 7 genya genya PROPN american_scientific_journal-2734 233 8 kobayashi kobayashi PROPN american_scientific_journal-2734 233 9 . . PUNCT american_scientific_journal-2734 234 1 " " PUNCT american_scientific_journal-2734 234 2 gibbs gibbs X american_scientific_journal-2734 234 3 sampling sample VERB american_scientific_journal-2734 234 4 methods method NOUN american_scientific_journal-2734 234 5 for for ADP american_scientific_journal-2734 234 6 bayesian bayesian NOUN american_scientific_journal-2734 234 7 quantile quantile ADJ american_scientific_journal-2734 234 8 regression regression NOUN american_scientific_journal-2734 234 9 . . PUNCT american_scientific_journal-2734 234 10 " " PUNCT american_scientific_journal-2734 235 1 journal journal NOUN american_scientific_journal-2734 235 2 of of ADP american_scientific_journal-2734 235 3 statistical statistical ADJ american_scientific_journal-2734 235 4 computation computation NOUN american_scientific_journal-2734 235 5 and and CCONJ american_scientific_journal-2734 235 6 simulation simulation NOUN american_scientific_journal-2734 235 7 81 81 NUM american_scientific_journal-2734 235 8 , , PUNCT american_scientific_journal-2734 235 9 no no INTJ american_scientific_journal-2734 235 10 . . NOUN american_scientific_journal-2734 235 11 11 11 NUM american_scientific_journal-2734 235 12 , , PUNCT american_scientific_journal-2734 235 13 pp.1565 pp.1565 PROPN american_scientific_journal-2734 235 14 - - PUNCT american_scientific_journal-2734 235 15 1578 1578 NUM american_scientific_journal-2734 235 16 . . PUNCT american_scientific_journal-2734 236 1 ( ( PUNCT american_scientific_journal-2734 236 2 2011 2011 NUM american_scientific_journal-2734 236 3 ) ) PUNCT american_scientific_journal-2734 236 4 . . PUNCT american_scientific_journal-2734 237 1 [ [ X american_scientific_journal-2734 237 2 17]li 17]li NUM american_scientific_journal-2734 237 3 , , PUNCT american_scientific_journal-2734 237 4 y. y. PROPN american_scientific_journal-2734 237 5 and and CCONJ american_scientific_journal-2734 237 6 zhu zhu PROPN american_scientific_journal-2734 237 7 , , PUNCT american_scientific_journal-2734 237 8 j j PROPN american_scientific_journal-2734 237 9 . . PUNCT american_scientific_journal-2734 238 1 β€œ " PUNCT american_scientific_journal-2734 238 2 l1 l1 NOUN american_scientific_journal-2734 238 3 - - PUNCT american_scientific_journal-2734 238 4 norm norm NOUN american_scientific_journal-2734 238 5 quantile quantile ADJ american_scientific_journal-2734 238 6 regression regression NOUN american_scientific_journal-2734 238 7 . . PUNCT american_scientific_journal-2734 238 8 ” " PUNCT american_scientific_journal-2734 239 1 journal journal NOUN american_scientific_journal-2734 239 2 of of ADP american_scientific_journal-2734 239 3 computational computational ADJ american_scientific_journal-2734 239 4 and and CCONJ american_scientific_journal-2734 239 5 graphical graphical ADJ american_scientific_journal-2734 239 6 statistics statistic NOUN american_scientific_journal-2734 239 7 , , PUNCT american_scientific_journal-2734 239 8 17(1 17(1 NUM american_scientific_journal-2734 239 9 ) ) PUNCT american_scientific_journal-2734 239 10 . . PUNCT american_scientific_journal-2734 240 1 pp pp ADJ american_scientific_journal-2734 240 2 . . PUNCT american_scientific_journal-2734 241 1 163 163 NUM american_scientific_journal-2734 241 2 - - SYM american_scientific_journal-2734 241 3 185 185 NUM american_scientific_journal-2734 241 4 . . PUNCT american_scientific_journal-2734 241 5 , , PUNCT american_scientific_journal-2734 241 6 ( ( PUNCT american_scientific_journal-2734 241 7 2008 2008 NUM american_scientific_journal-2734 241 8 ) ) PUNCT american_scientific_journal-2734 241 9 . . PUNCT american_scientific_journal-2734 242 1 [ [ X american_scientific_journal-2734 242 2 18]li 18]li NUM american_scientific_journal-2734 242 3 , , PUNCT american_scientific_journal-2734 242 4 q. q. PROPN american_scientific_journal-2734 242 5 , , PUNCT american_scientific_journal-2734 242 6 xi xi PROPN american_scientific_journal-2734 242 7 , , PUNCT american_scientific_journal-2734 242 8 r. r. PROPN american_scientific_journal-2734 242 9 , , PUNCT american_scientific_journal-2734 242 10 lin lin PROPN american_scientific_journal-2734 242 11 , , PUNCT american_scientific_journal-2734 242 12 n. n. PROPN american_scientific_journal-2734 242 13 , , PUNCT american_scientific_journal-2734 242 14 et et PROPN american_scientific_journal-2734 242 15 al al PROPN american_scientific_journal-2734 242 16 . . PUNCT american_scientific_journal-2734 243 1 β€œ " PUNCT american_scientific_journal-2734 243 2 bayesian bayesian NOUN american_scientific_journal-2734 243 3 regularized regularize VERB american_scientific_journal-2734 243 4 quantile quantile ADJ american_scientific_journal-2734 243 5 regression regression NOUN american_scientific_journal-2734 243 6 . . PUNCT american_scientific_journal-2734 243 7 ” " PUNCT american_scientific_journal-2734 244 1 bayesian bayesian NOUN american_scientific_journal-2734 244 2 analysis analysis NOUN american_scientific_journal-2734 244 3 , , PUNCT american_scientific_journal-2734 244 4 5(3);pp 5(3);pp NUM american_scientific_journal-2734 244 5 . . PUNCT american_scientific_journal-2734 245 1 533–556 533–556 NUM american_scientific_journal-2734 245 2 . . PUNCT american_scientific_journal-2734 245 3 ( ( PUNCT american_scientific_journal-2734 245 4 2010 2010 NUM american_scientific_journal-2734 245 5 ) ) PUNCT american_scientific_journal-2734 245 6 . . PUNCT american_scientific_journal-2734 246 1 [ [ X american_scientific_journal-2734 246 2 19]mallick 19]mallick NUM american_scientific_journal-2734 246 3 , , PUNCT american_scientific_journal-2734 246 4 h. h. PROPN american_scientific_journal-2734 246 5 , , PUNCT american_scientific_journal-2734 246 6 & & CCONJ american_scientific_journal-2734 246 7 yi yi PROPN american_scientific_journal-2734 246 8 , , PUNCT american_scientific_journal-2734 246 9 n. n. NOUN american_scientific_journal-2734 246 10 β€œ " PUNCT american_scientific_journal-2734 246 11 a a DET american_scientific_journal-2734 246 12 new new ADJ american_scientific_journal-2734 246 13 bayesian bayesian NOUN american_scientific_journal-2734 246 14 lasso lasso NOUN american_scientific_journal-2734 246 15 . . PUNCT american_scientific_journal-2734 246 16 ” " PUNCT american_scientific_journal-2734 247 1 statistics statistic NOUN american_scientific_journal-2734 247 2 and and CCONJ american_scientific_journal-2734 247 3 its its PRON american_scientific_journal-2734 247 4 interface interface NOUN american_scientific_journal-2734 247 5 , , PUNCT american_scientific_journal-2734 247 6 7(4),pp 7(4),pp NUM american_scientific_journal-2734 247 7 . . PUNCT american_scientific_journal-2734 248 1 571582 571582 NUM american_scientific_journal-2734 248 2 , , PUNCT american_scientific_journal-2734 248 3 ( ( PUNCT american_scientific_journal-2734 248 4 2014 2014 NUM american_scientific_journal-2734 248 5 ) ) PUNCT american_scientific_journal-2734 248 6 . . PUNCT american_scientific_journal-2734 249 1 american american PROPN american_scientific_journal-2734 249 2 scientific scientific ADJ american_scientific_journal-2734 249 3 research research PROPN american_scientific_journal-2734 249 4 journal journal NOUN american_scientific_journal-2734 249 5 for for ADP american_scientific_journal-2734 249 6 engineering engineering NOUN american_scientific_journal-2734 249 7 , , PUNCT american_scientific_journal-2734 249 8 technology technology NOUN american_scientific_journal-2734 249 9 , , PUNCT american_scientific_journal-2734 249 10 and and CCONJ american_scientific_journal-2734 249 11 sciences science NOUN american_scientific_journal-2734 249 12 ( ( PUNCT american_scientific_journal-2734 249 13 asrjets asrjet NOUN american_scientific_journal-2734 249 14 ) ) PUNCT american_scientific_journal-2734 249 15 ( ( PUNCT american_scientific_journal-2734 249 16 2017 2017 NUM american_scientific_journal-2734 249 17 ) ) PUNCT american_scientific_journal-2734 249 18 volume volume NOUN american_scientific_journal-2734 249 19 29 29 NUM american_scientific_journal-2734 249 20 , , PUNCT american_scientific_journal-2734 249 21 no no DET american_scientific_journal-2734 249 22 1 1 NUM american_scientific_journal-2734 249 23 , , PUNCT american_scientific_journal-2734 249 24 pp pp ADV american_scientific_journal-2734 249 25 138 138 NUM american_scientific_journal-2734 249 26 - - SYM american_scientific_journal-2734 249 27 152 152 NUM american_scientific_journal-2734 249 28 152 152 NUM american_scientific_journal-2734 250 1 [ [ X american_scientific_journal-2734 250 2 20]park 20]park NUM american_scientific_journal-2734 250 3 , , PUNCT american_scientific_journal-2734 250 4 t. t. PROPN american_scientific_journal-2734 250 5 , , PUNCT american_scientific_journal-2734 250 6 & & CCONJ american_scientific_journal-2734 250 7 casella casella PROPN american_scientific_journal-2734 250 8 , , PUNCT american_scientific_journal-2734 250 9 g. g. PROPN american_scientific_journal-2734 251 1 β€œ " PUNCT american_scientific_journal-2734 251 2 the the DET american_scientific_journal-2734 251 3 bayesian bayesian NOUN american_scientific_journal-2734 251 4 lasso lasso NOUN american_scientific_journal-2734 251 5 . . PUNCT american_scientific_journal-2734 251 6 ” " PUNCT american_scientific_journal-2734 252 1 journal journal NOUN american_scientific_journal-2734 252 2 of of ADP american_scientific_journal-2734 252 3 the the DET american_scientific_journal-2734 252 4 american american PROPN american_scientific_journal-2734 252 5 statistical statistical PROPN american_scientific_journal-2734 252 6 association association NOUN american_scientific_journal-2734 252 7 , , PUNCT american_scientific_journal-2734 252 8 103(482 103(482 NUM american_scientific_journal-2734 252 9 ) ) PUNCT american_scientific_journal-2734 252 10 , , PUNCT american_scientific_journal-2734 252 11 pp.681 pp.681 PROPN american_scientific_journal-2734 252 12 - - NOUN american_scientific_journal-2734 252 13 686,(2008 686,(2008 NOUN american_scientific_journal-2734 252 14 ) ) PUNCT american_scientific_journal-2734 252 15 . . PUNCT american_scientific_journal-2734 253 1 [ [ X american_scientific_journal-2734 253 2 21]sun 21]sun NUM american_scientific_journal-2734 253 3 , , PUNCT american_scientific_journal-2734 253 4 w. w. PROPN american_scientific_journal-2734 253 5 , , PUNCT american_scientific_journal-2734 253 6 ibrahim ibrahim PROPN american_scientific_journal-2734 253 7 , , PUNCT american_scientific_journal-2734 253 8 j. j. PROPN american_scientific_journal-2734 253 9 g. g. PROPN american_scientific_journal-2734 253 10 , , PUNCT american_scientific_journal-2734 253 11 and and CCONJ american_scientific_journal-2734 253 12 zou zou PROPN american_scientific_journal-2734 253 13 , , PUNCT american_scientific_journal-2734 253 14 f. f. NOUN american_scientific_journal-2734 253 15 β€œ " PUNCT american_scientific_journal-2734 253 16 genome genome NOUN american_scientific_journal-2734 253 17 wide wide ADJ american_scientific_journal-2734 253 18 multiple multiple ADJ american_scientific_journal-2734 253 19 - - PUNCT american_scientific_journal-2734 253 20 loci loci NOUN american_scientific_journal-2734 253 21 mapping mapping NOUN american_scientific_journal-2734 253 22 in in ADP american_scientific_journal-2734 253 23 experimental experimental ADJ american_scientific_journal-2734 253 24 crosses crosse NOUN american_scientific_journal-2734 253 25 by by ADP american_scientific_journal-2734 253 26 iterative iterative NOUN american_scientific_journal-2734 253 27 adaptive adaptive ADJ american_scientific_journal-2734 253 28 penalized penalize VERB american_scientific_journal-2734 253 29 regression regression NOUN american_scientific_journal-2734 253 30 . . PUNCT american_scientific_journal-2734 253 31 ” " PUNCT american_scientific_journal-2734 253 32 genetics genetic NOUN american_scientific_journal-2734 253 33 , , PUNCT american_scientific_journal-2734 253 34 185(1),pp.349–359 185(1),pp.349–359 NUM american_scientific_journal-2734 253 35 . . NOUN american_scientific_journal-2734 253 36 2 2 NUM american_scientific_journal-2734 253 37 , , PUNCT american_scientific_journal-2734 253 38 ( ( PUNCT american_scientific_journal-2734 253 39 2010 2010 NUM american_scientific_journal-2734 253 40 ) ) PUNCT american_scientific_journal-2734 253 41 . . PUNCT american_scientific_journal-2734 254 1 [ [ X american_scientific_journal-2734 254 2 22]stamey 22]stamey NUM american_scientific_journal-2734 254 3 , , PUNCT american_scientific_journal-2734 254 4 t. t. NOUN american_scientific_journal-2734 254 5 a. a. PROPN american_scientific_journal-2734 254 6 , , PUNCT american_scientific_journal-2734 254 7 kabalin kabalin PROPN american_scientific_journal-2734 254 8 , , PUNCT american_scientific_journal-2734 254 9 j. j. PROPN american_scientific_journal-2734 254 10 n. n. PROPN american_scientific_journal-2734 254 11 , , PUNCT american_scientific_journal-2734 254 12 mcneal mcneal PROPN american_scientific_journal-2734 254 13 , , PUNCT american_scientific_journal-2734 254 14 j. j. PROPN american_scientific_journal-2734 254 15 e. e. PROPN american_scientific_journal-2734 254 16 , , PUNCT american_scientific_journal-2734 254 17 johnstone johnstone PROPN american_scientific_journal-2734 254 18 , , PUNCT american_scientific_journal-2734 254 19 i. i. PROPN american_scientific_journal-2734 254 20 m. m. PROPN american_scientific_journal-2734 254 21 , , PUNCT american_scientific_journal-2734 254 22 freiha freiha VERB american_scientific_journal-2734 254 23 , , PUNCT american_scientific_journal-2734 254 24 f. f. PROPN american_scientific_journal-2734 254 25 , , PUNCT american_scientific_journal-2734 254 26 redwine redwine PROPN american_scientific_journal-2734 254 27 , , PUNCT american_scientific_journal-2734 254 28 e. e. PROPN american_scientific_journal-2734 254 29 a. a. PROPN american_scientific_journal-2734 254 30 , , PUNCT american_scientific_journal-2734 254 31 & & CCONJ american_scientific_journal-2734 254 32 yang yang PROPN american_scientific_journal-2734 254 33 , , PUNCT american_scientific_journal-2734 254 34 n. n. NOUN american_scientific_journal-2734 254 35 . . PUNCT american_scientific_journal-2734 255 1 β€œ " PUNCT american_scientific_journal-2734 255 2 prostate prostate VERB american_scientific_journal-2734 255 3 specific specific ADJ american_scientific_journal-2734 255 4 antigen antigen NOUN american_scientific_journal-2734 255 5 in in ADP american_scientific_journal-2734 255 6 the the DET american_scientific_journal-2734 255 7 diagnosis diagnosis NOUN american_scientific_journal-2734 255 8 and and CCONJ american_scientific_journal-2734 255 9 treatment treatment NOUN american_scientific_journal-2734 255 10 of of ADP american_scientific_journal-2734 255 11 adenocarcinoma adenocarcinoma NOUN american_scientific_journal-2734 255 12 of of ADP american_scientific_journal-2734 255 13 the the DET american_scientific_journal-2734 255 14 prostate prostate NOUN american_scientific_journal-2734 255 15 . . PUNCT american_scientific_journal-2734 255 16 ” " PUNCT american_scientific_journal-2734 255 17 ii ii PROPN american_scientific_journal-2734 255 18 . . PUNCT american_scientific_journal-2734 256 1 radical radical ADJ american_scientific_journal-2734 256 2 prostatectomy prostatectomy NOUN american_scientific_journal-2734 256 3 treated treat VERB american_scientific_journal-2734 256 4 patients patient NOUN american_scientific_journal-2734 256 5 . . PUNCT american_scientific_journal-2734 257 1 ” " PUNCT american_scientific_journal-2734 257 2 the the DET american_scientific_journal-2734 257 3 journal journal NOUN american_scientific_journal-2734 257 4 of of ADP american_scientific_journal-2734 257 5 urology urology NOUN american_scientific_journal-2734 257 6 , , PUNCT american_scientific_journal-2734 257 7 141(5),pp 141(5),pp NUM american_scientific_journal-2734 257 8 . . PUNCT american_scientific_journal-2734 257 9 1076 1076 NUM american_scientific_journal-2734 257 10 - - SYM american_scientific_journal-2734 257 11 1083,(1989 1083,(1989 NUM american_scientific_journal-2734 257 12 ) ) PUNCT american_scientific_journal-2734 257 13 . . PUNCT american_scientific_journal-2734 258 1 [ [ X american_scientific_journal-2734 258 2 23]tibshirani 23]tibshirani NUM american_scientific_journal-2734 258 3 , , PUNCT american_scientific_journal-2734 258 4 r. r. PROPN american_scientific_journal-2734 258 5 β€œ " PUNCT american_scientific_journal-2734 258 6 regression regression NOUN american_scientific_journal-2734 258 7 shrinkage shrinkage NOUN american_scientific_journal-2734 258 8 and and CCONJ american_scientific_journal-2734 258 9 selection selection NOUN american_scientific_journal-2734 258 10 via via ADP american_scientific_journal-2734 258 11 the the DET american_scientific_journal-2734 258 12 lasso lasso NOUN american_scientific_journal-2734 258 13 . . PUNCT american_scientific_journal-2734 258 14 ” " PUNCT american_scientific_journal-2734 259 1 .journal .journal PROPN american_scientific_journal-2734 259 2 of of ADP american_scientific_journal-2734 259 3 the the DET american_scientific_journal-2734 259 4 royal royal ADJ american_scientific_journal-2734 259 5 statistical statistical ADJ american_scientific_journal-2734 259 6 society society NOUN american_scientific_journal-2734 259 7 . . PUNCT american_scientific_journal-2734 260 1 series series PROPN american_scientific_journal-2734 260 2 b b PROPN american_scientific_journal-2734 260 3 ( ( PUNCT american_scientific_journal-2734 260 4 methodological),pp methodological),pp PROPN american_scientific_journal-2734 260 5 . . PUNCT american_scientific_journal-2734 261 1 267 267 NUM american_scientific_journal-2734 261 2 - - SYM american_scientific_journal-2734 261 3 288 288 NUM american_scientific_journal-2734 261 4 , , PUNCT american_scientific_journal-2734 261 5 ( ( PUNCT american_scientific_journal-2734 261 6 1996 1996 NUM american_scientific_journal-2734 261 7 ) ) PUNCT american_scientific_journal-2734 261 8 . . PUNCT american_scientific_journal-2734 262 1 [ [ X american_scientific_journal-2734 262 2 24]tibshirani 24]tibshirani NUM american_scientific_journal-2734 262 3 , , PUNCT american_scientific_journal-2734 262 4 r. r. PROPN american_scientific_journal-2734 262 5 β€œ " PUNCT american_scientific_journal-2734 262 6 regression regression NOUN american_scientific_journal-2734 262 7 shrinkage shrinkage NOUN american_scientific_journal-2734 262 8 and and CCONJ american_scientific_journal-2734 262 9 selection selection NOUN american_scientific_journal-2734 262 10 via via ADP american_scientific_journal-2734 262 11 the the DET american_scientific_journal-2734 262 12 lasso lasso NOUN american_scientific_journal-2734 262 13 . . PUNCT american_scientific_journal-2734 262 14 ” " PUNCT american_scientific_journal-2734 263 1 a a DET american_scientific_journal-2734 263 2 retrospective retrospective ADJ american_scientific_journal-2734 263 3 " " PUNCT american_scientific_journal-2734 263 4 . . PUNCT american_scientific_journal-2734 263 5 journal journal NOUN american_scientific_journal-2734 263 6 of of ADP american_scientific_journal-2734 263 7 the the DET american_scientific_journal-2734 263 8 royal royal ADJ american_scientific_journal-2734 263 9 statistical statistical ADJ american_scientific_journal-2734 263 10 society society NOUN american_scientific_journal-2734 263 11 : : PUNCT american_scientific_journal-2734 263 12 series series PROPN american_scientific_journal-2734 263 13 b b PROPN american_scientific_journal-2734 263 14 ( ( PUNCT american_scientific_journal-2734 263 15 statistical statistical ADJ american_scientific_journal-2734 263 16 methodology methodology NOUN american_scientific_journal-2734 263 17 ) ) PUNCT american_scientific_journal-2734 263 18 , , PUNCT american_scientific_journal-2734 263 19 73(3 73(3 NUM american_scientific_journal-2734 263 20 ) ) PUNCT american_scientific_journal-2734 263 21 , , PUNCT american_scientific_journal-2734 263 22 pp.273 pp.273 PROPN american_scientific_journal-2734 263 23 - - PUNCT american_scientific_journal-2734 263 24 282,(2011 282,(2011 NUM american_scientific_journal-2734 263 25 ) ) PUNCT american_scientific_journal-2734 263 26 . . PUNCT american_scientific_journal-2734 264 1 [ [ X american_scientific_journal-2734 264 2 25]wang 25]wang NUM american_scientific_journal-2734 264 3 , , PUNCT american_scientific_journal-2734 264 4 h. h. PROPN american_scientific_journal-2734 264 5 and and CCONJ american_scientific_journal-2734 264 6 he he PRON american_scientific_journal-2734 264 7 , , PUNCT american_scientific_journal-2734 264 8 x x X american_scientific_journal-2734 264 9 . . PUNCT american_scientific_journal-2734 265 1 β€œ " PUNCT american_scientific_journal-2734 265 2 detecting detect VERB american_scientific_journal-2734 265 3 differential differential ADJ american_scientific_journal-2734 265 4 expressions expression NOUN american_scientific_journal-2734 265 5 in in ADP american_scientific_journal-2734 265 6 genechip genechip NOUN american_scientific_journal-2734 265 7 microarray microarray NOUN american_scientific_journal-2734 265 8 studies study NOUN american_scientific_journal-2734 265 9 : : PUNCT american_scientific_journal-2734 265 10 a a DET american_scientific_journal-2734 265 11 quantile quantile ADJ american_scientific_journal-2734 265 12 approach approach NOUN american_scientific_journal-2734 265 13 . . 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PUNCT american_scientific_journal-2734 270 1 [ [ X american_scientific_journal-2734 270 2 26]wei 26]wei NUM american_scientific_journal-2734 270 3 , , PUNCT american_scientific_journal-2734 270 4 y. y. PROPN american_scientific_journal-2734 270 5 , , PUNCT american_scientific_journal-2734 270 6 pere pere PROPN american_scientific_journal-2734 270 7 , , PUNCT american_scientific_journal-2734 270 8 a. a. NOUN american_scientific_journal-2734 270 9 , , PUNCT american_scientific_journal-2734 270 10 koenker koenker PROPN american_scientific_journal-2734 270 11 , , PUNCT american_scientific_journal-2734 270 12 r. r. PROPN american_scientific_journal-2734 270 13 , , PUNCT american_scientific_journal-2734 270 14 and and CCONJ american_scientific_journal-2734 270 15 he he PRON american_scientific_journal-2734 270 16 , , PUNCT american_scientific_journal-2734 270 17 x x X american_scientific_journal-2734 270 18 . . PUNCT american_scientific_journal-2734 271 1 β€œ " PUNCT american_scientific_journal-2734 271 2 quantile quantile ADJ american_scientific_journal-2734 271 3 regression regression NOUN american_scientific_journal-2734 271 4 methods method NOUN american_scientific_journal-2734 271 5 for for ADP american_scientific_journal-2734 271 6 reference reference NOUN american_scientific_journal-2734 271 7 growth growth NOUN american_scientific_journal-2734 271 8 charts chart NOUN american_scientific_journal-2734 271 9 . . PUNCT american_scientific_journal-2734 271 10 ” " PUNCT american_scientific_journal-2734 272 1 .statistics .statistic NOUN american_scientific_journal-2734 272 2 in in ADP american_scientific_journal-2734 272 3 medicine medicine NOUN american_scientific_journal-2734 272 4 , , PUNCT american_scientific_journal-2734 272 5 25(8 25(8 NUM american_scientific_journal-2734 272 6 ) ) PUNCT american_scientific_journal-2734 272 7 ; ; PUNCT american_scientific_journal-2734 272 8 pp.1369–1382 pp.1369–1382 PROPN american_scientific_journal-2734 272 9 , , PUNCT american_scientific_journal-2734 272 10 . . PUNCT american_scientific_journal-2734 273 1 ( ( PUNCT american_scientific_journal-2734 273 2 2006 2006 NUM american_scientific_journal-2734 273 3 ) ) PUNCT american_scientific_journal-2734 273 4 . . PUNCT american_scientific_journal-2734 274 1 [ [ X american_scientific_journal-2734 274 2 27]-wu 27]-wu NUM american_scientific_journal-2734 274 3 , , PUNCT american_scientific_journal-2734 274 4 y. y. PROPN american_scientific_journal-2734 274 5 and and CCONJ american_scientific_journal-2734 274 6 liu liu PROPN american_scientific_journal-2734 274 7 , , PUNCT american_scientific_journal-2734 274 8 y. y. NOUN american_scientific_journal-2734 274 9 β€œ " PUNCT american_scientific_journal-2734 274 10 variable variable ADJ american_scientific_journal-2734 274 11 selection selection NOUN american_scientific_journal-2734 274 12 in in ADP american_scientific_journal-2734 274 13 quantile quantile ADJ american_scientific_journal-2734 274 14 regression regression NOUN american_scientific_journal-2734 274 15 . . PUNCT american_scientific_journal-2734 275 1 ”statistica ”statistica PROPN american_scientific_journal-2734 276 1 sinica,19(2),pp sinica,19(2),pp PROPN american_scientific_journal-2734 276 2 . . PUNCT american_scientific_journal-2734 277 1 801 801 NUM american_scientific_journal-2734 277 2 . . X american_scientific_journal-2734 277 3 2 2 NUM american_scientific_journal-2734 277 4 , , PUNCT american_scientific_journal-2734 277 5 ( ( PUNCT american_scientific_journal-2734 277 6 2009 2009 NUM american_scientific_journal-2734 277 7 ) ) PUNCT american_scientific_journal-2734 277 8 . . PUNCT american_scientific_journal-2734 278 1 [ [ X american_scientific_journal-2734 278 2 28]-yu 28]-yu NUM american_scientific_journal-2734 278 3 , , PUNCT american_scientific_journal-2734 278 4 k. k. PROPN american_scientific_journal-2734 278 5 , , PUNCT american_scientific_journal-2734 278 6 & & CCONJ american_scientific_journal-2734 278 7 moyeed moyeed PROPN american_scientific_journal-2734 278 8 , , PUNCT american_scientific_journal-2734 278 9 r. r. PROPN american_scientific_journal-2734 278 10 a. a. NOUN american_scientific_journal-2734 278 11 " " PUNCT american_scientific_journal-2734 278 12 bayesian bayesian NOUN american_scientific_journal-2734 278 13 quantile quantile ADJ american_scientific_journal-2734 278 14 regression regression NOUN american_scientific_journal-2734 278 15 . . PUNCT american_scientific_journal-2734 279 1 β€œ " PUNCT american_scientific_journal-2734 279 2 statistics statistic NOUN american_scientific_journal-2734 279 3 & & CCONJ american_scientific_journal-2734 279 4 probability probability NOUN american_scientific_journal-2734 279 5 letters letter NOUN american_scientific_journal-2734 279 6 , , PUNCT american_scientific_journal-2734 279 7 54(4),pp 54(4),pp NUM american_scientific_journal-2734 279 8 . . PUNCT american_scientific_journal-2734 279 9 437 437 NUM american_scientific_journal-2734 279 10 - - SYM american_scientific_journal-2734 279 11 447 447 NUM american_scientific_journal-2734 279 12 , , PUNCT american_scientific_journal-2734 279 13 ( ( PUNCT american_scientific_journal-2734 279 14 2001 2001 NUM american_scientific_journal-2734 279 15 ) ) PUNCT american_scientific_journal-2734 279 16 . . PUNCT american_scientific_journal-2734 280 1 [ [ X american_scientific_journal-2734 280 2 29]zou 29]zou NUM american_scientific_journal-2734 280 3 , , PUNCT american_scientific_journal-2734 280 4 h. h. PROPN american_scientific_journal-2734 280 5 " " PUNCT american_scientific_journal-2734 280 6 the the DET american_scientific_journal-2734 280 7 adaptive adaptive ADJ american_scientific_journal-2734 280 8 lasso lasso NOUN american_scientific_journal-2734 280 9 and and CCONJ american_scientific_journal-2734 280 10 its its PRON american_scientific_journal-2734 280 11 oracle oracle NOUN american_scientific_journal-2734 280 12 properties property NOUN american_scientific_journal-2734 280 13 . . PUNCT american_scientific_journal-2734 281 1 β€œ " PUNCT american_scientific_journal-2734 281 2 journal journal NOUN american_scientific_journal-2734 281 3 of of ADP american_scientific_journal-2734 281 4 the the DET american_scientific_journal-2734 281 5 american american PROPN american_scientific_journal-2734 281 6 statistical statistical PROPN american_scientific_journal-2734 281 7 association association PROPN american_scientific_journal-2734 281 8 , , PUNCT american_scientific_journal-2734 281 9 101(476 101(476 NUM american_scientific_journal-2734 281 10 ) ) PUNCT american_scientific_journal-2734 281 11 , , PUNCT american_scientific_journal-2734 281 12 pp.1418 pp.1418 PROPN american_scientific_journal-2734 281 13 - - PROPN american_scientific_journal-2734 281 14 1429 1429 NUM american_scientific_journal-2734 281 15 , , PUNCT american_scientific_journal-2734 281 16 ( ( PUNCT american_scientific_journal-2734 281 17 2006 2006 NUM american_scientific_journal-2734 281 18 ) ) PUNCT american_scientific_journal-2734 281 19 . . PUNCT american_scientific_journal-2734 282 1 [ [ X american_scientific_journal-2734 282 2 30]zou 30]zou NUM american_scientific_journal-2734 282 3 , , PUNCT american_scientific_journal-2734 282 4 h. h. PROPN american_scientific_journal-2734 282 5 , , PUNCT american_scientific_journal-2734 282 6 & & CCONJ american_scientific_journal-2734 282 7 yuan yuan PROPN american_scientific_journal-2734 282 8 , , PUNCT american_scientific_journal-2734 282 9 m m PRON american_scientific_journal-2734 282 10 , , PUNCT american_scientific_journal-2734 282 11 β€œ " PUNCT american_scientific_journal-2734 282 12 composite composite ADJ american_scientific_journal-2734 282 13 quantile quantile ADJ american_scientific_journal-2734 282 14 regression regression NOUN american_scientific_journal-2734 282 15 and and CCONJ american_scientific_journal-2734 282 16 the the DET american_scientific_journal-2734 282 17 oracle oracle PROPN american_scientific_journal-2734 282 18 model model NOUN american_scientific_journal-2734 282 19 selection selection NOUN american_scientific_journal-2734 282 20 theory theory NOUN american_scientific_journal-2734 282 21 . . PUNCT american_scientific_journal-2734 282 22 ” " PUNCT american_scientific_journal-2734 283 1 the the DET american_scientific_journal-2734 283 2 annals annal NOUN american_scientific_journal-2734 283 3 of of ADP american_scientific_journal-2734 283 4 statistics statistic NOUN american_scientific_journal-2734 283 5 , , PUNCT american_scientific_journal-2734 283 6 pp pp ADV american_scientific_journal-2734 283 7 . . PUNCT american_scientific_journal-2734 283 8 1108 1108 NUM american_scientific_journal-2734 283 9 - - SYM american_scientific_journal-2734 283 10 1126 1126 NUM american_scientific_journal-2734 283 11 , , PUNCT american_scientific_journal-2734 283 12 . . PUNCT american_scientific_journal-2734 284 1 ( ( PUNCT american_scientific_journal-2734 284 2 2008 2008 NUM american_scientific_journal-2734 284 3 ) ) PUNCT american_scientific_journal-2734 284 4 . . PUNCT american_scientific_journal-2734 285 1 references reference NOUN