id sid tid token lemma pos american_scientific_journal-942 1 1 american american PROPN american_scientific_journal-942 1 2 scientific scientific ADJ american_scientific_journal-942 1 3 research research NOUN american_scientific_journal-942 1 4 journal journal NOUN american_scientific_journal-942 1 5 for for ADP american_scientific_journal-942 1 6 engineering engineering NOUN american_scientific_journal-942 1 7 , , PUNCT american_scientific_journal-942 1 8 technology technology NOUN american_scientific_journal-942 1 9 , , PUNCT american_scientific_journal-942 1 10 and and CCONJ american_scientific_journal-942 1 11 sciences science NOUN american_scientific_journal-942 1 12 ( ( PUNCT american_scientific_journal-942 1 13 asrjets asrjet NOUN american_scientific_journal-942 1 14 ) ) PUNCT american_scientific_journal-942 1 15 issn issn PROPN american_scientific_journal-942 1 16 ( ( PUNCT american_scientific_journal-942 1 17 print print NOUN american_scientific_journal-942 1 18 ) ) PUNCT american_scientific_journal-942 1 19 2313 2313 NUM american_scientific_journal-942 1 20 - - SYM american_scientific_journal-942 1 21 4410 4410 NUM american_scientific_journal-942 1 22 , , PUNCT american_scientific_journal-942 1 23 issn issn PROPN american_scientific_journal-942 1 24 ( ( PUNCT american_scientific_journal-942 1 25 online online ADJ american_scientific_journal-942 1 26 ) ) PUNCT american_scientific_journal-942 1 27 2313 2313 NUM american_scientific_journal-942 1 28 - - SYM american_scientific_journal-942 1 29 4402 4402 NUM american_scientific_journal-942 1 30 ยฉ ยฉ PROPN american_scientific_journal-942 1 31 global global ADJ american_scientific_journal-942 1 32 society society NOUN american_scientific_journal-942 1 33 of of ADP american_scientific_journal-942 1 34 scientific scientific ADJ american_scientific_journal-942 1 35 research research NOUN american_scientific_journal-942 1 36 and and CCONJ american_scientific_journal-942 1 37 researchers researcher NOUN american_scientific_journal-942 1 38 http://asrjetsjournal.org/ http://asrjetsjournal.org/ VERB american_scientific_journal-942 1 39 on on ADP american_scientific_journal-942 1 40 the the DET american_scientific_journal-942 1 41 modification modification NOUN american_scientific_journal-942 1 42 of of ADP american_scientific_journal-942 1 43 m m PROPN american_scientific_journal-942 1 44 - - PUNCT american_scientific_journal-942 1 45 out out ADP american_scientific_journal-942 1 46 - - PUNCT american_scientific_journal-942 1 47 of of ADP american_scientific_journal-942 1 48 - - PUNCT american_scientific_journal-942 1 49 n n NOUN american_scientific_journal-942 1 50 bootstrap bootstrap NOUN american_scientific_journal-942 1 51 method method NOUN american_scientific_journal-942 1 52 for for ADP american_scientific_journal-942 1 53 heavy heavy ADJ american_scientific_journal-942 1 54 - - PUNCT american_scientific_journal-942 1 55 tailed tail VERB american_scientific_journal-942 1 56 distributions distribution NOUN american_scientific_journal-942 1 57 hannah hannah PROPN american_scientific_journal-942 1 58 f. f. PROPN american_scientific_journal-942 1 59 opayinkaa opayinkaa PROPN american_scientific_journal-942 1 60 * * PUNCT american_scientific_journal-942 1 61 , , PUNCT american_scientific_journal-942 1 62 adedayo adedayo PROPN american_scientific_journal-942 1 63 a. a. PROPN american_scientific_journal-942 1 64 adepoju adepoju PROPN american_scientific_journal-942 1 65 b b PROPN american_scientific_journal-942 1 66 afederal afederal ADJ american_scientific_journal-942 1 67 college college NOUN american_scientific_journal-942 1 68 of of ADP american_scientific_journal-942 1 69 education education NOUN american_scientific_journal-942 1 70 ( ( PUNCT american_scientific_journal-942 1 71 special),nigeria special),nigeria X american_scientific_journal-942 1 72 , , PUNCT american_scientific_journal-942 1 73 phone:+2348034975272 phone:+2348034975272 PROPN american_scientific_journal-942 1 74 b b PROPN american_scientific_journal-942 1 75 statistics statistics PROPN american_scientific_journal-942 1 76 department department PROPN american_scientific_journal-942 1 77 , , PUNCT american_scientific_journal-942 1 78 university university PROPN american_scientific_journal-942 1 79 of of ADP american_scientific_journal-942 1 80 ibadan ibadan PROPN american_scientific_journal-942 1 81 , , PUNCT american_scientific_journal-942 1 82 nigeria nigeria PROPN american_scientific_journal-942 1 83 , , PUNCT american_scientific_journal-942 1 84 phone:+2348066430258 phone:+2348066430258 PROPN american_scientific_journal-942 2 1 afolashadeopayinka@gmail.com afolashadeopayinka@gmail.com X american_scientific_journal-942 3 1 bpojuday@yahoo.com bpojuday@yahoo.com X american_scientific_journal-942 4 1 abstract abstract ADJ american_scientific_journal-942 4 2 this this DET american_scientific_journal-942 4 3 paper paper NOUN american_scientific_journal-942 4 4 is be AUX american_scientific_journal-942 4 5 on on ADP american_scientific_journal-942 4 6 the the DET american_scientific_journal-942 4 7 modification modification NOUN american_scientific_journal-942 4 8 of of ADP american_scientific_journal-942 4 9 ๐‘š-out ๐‘š-out NOUN american_scientific_journal-942 4 10 - - PUNCT american_scientific_journal-942 4 11 of-๐‘› of-๐‘› ADP american_scientific_journal-942 4 12 bootstrap bootstrap NOUN american_scientific_journal-942 4 13 method method NOUN american_scientific_journal-942 4 14 for for ADP american_scientific_journal-942 4 15 heavy heavy ADJ american_scientific_journal-942 4 16 - - PUNCT american_scientific_journal-942 4 17 tailed tail VERB american_scientific_journal-942 4 18 distributions distribution NOUN american_scientific_journal-942 4 19 such such ADJ american_scientific_journal-942 4 20 as as ADP american_scientific_journal-942 4 21 income income NOUN american_scientific_journal-942 4 22 distribution distribution NOUN american_scientific_journal-942 4 23 . . PUNCT american_scientific_journal-942 5 1 the the DET american_scientific_journal-942 5 2 objective objective NOUN american_scientific_journal-942 5 3 of of ADP american_scientific_journal-942 5 4 this this DET american_scientific_journal-942 5 5 paper paper NOUN american_scientific_journal-942 5 6 is be AUX american_scientific_journal-942 5 7 to to PART american_scientific_journal-942 5 8 present present VERB american_scientific_journal-942 5 9 a a DET american_scientific_journal-942 5 10 modified modify VERB american_scientific_journal-942 5 11 ๐‘š-out ๐‘š-out NOUN american_scientific_journal-942 5 12 - - PUNCT american_scientific_journal-942 5 13 of-๐‘› of-๐‘› ADP american_scientific_journal-942 5 14 bootstrap bootstrap NOUN american_scientific_journal-942 5 15 method method NOUN american_scientific_journal-942 5 16 ( ( PUNCT american_scientific_journal-942 5 17 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 5 18 ) ) PUNCT american_scientific_journal-942 5 19 and and CCONJ american_scientific_journal-942 5 20 compare compare VERB american_scientific_journal-942 5 21 its its PRON american_scientific_journal-942 5 22 performance performance NOUN american_scientific_journal-942 5 23 with with ADP american_scientific_journal-942 5 24 the the DET american_scientific_journal-942 5 25 existing exist VERB american_scientific_journal-942 5 26 m m PROPN american_scientific_journal-942 5 27 - - PUNCT american_scientific_journal-942 5 28 out out ADP american_scientific_journal-942 5 29 - - PUNCT american_scientific_journal-942 5 30 of of ADP american_scientific_journal-942 5 31 - - PUNCT american_scientific_journal-942 5 32 n n NOUN american_scientific_journal-942 5 33 bootstrap bootstrap NOUN american_scientific_journal-942 5 34 method method NOUN american_scientific_journal-942 5 35 ( ( PUNCT american_scientific_journal-942 5 36 ๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘œ๐‘œ๐‘› X american_scientific_journal-942 5 37 ) ) PUNCT american_scientific_journal-942 5 38 . . PUNCT american_scientific_journal-942 6 1 the the DET american_scientific_journal-942 6 2 nature nature NOUN american_scientific_journal-942 6 3 of of ADP american_scientific_journal-942 6 4 the the DET american_scientific_journal-942 6 5 upper upper ADJ american_scientific_journal-942 6 6 tail tail NOUN american_scientific_journal-942 6 7 of of ADP american_scientific_journal-942 6 8 a a DET american_scientific_journal-942 6 9 distribution distribution NOUN american_scientific_journal-942 6 10 is be AUX american_scientific_journal-942 6 11 the the DET american_scientific_journal-942 6 12 major major ADJ american_scientific_journal-942 6 13 reason reason NOUN american_scientific_journal-942 6 14 for for ADP american_scientific_journal-942 6 15 the the DET american_scientific_journal-942 6 16 poor poor ADJ american_scientific_journal-942 6 17 performance performance NOUN american_scientific_journal-942 6 18 of of ADP american_scientific_journal-942 6 19 classical classical ADJ american_scientific_journal-942 6 20 bootstrap bootstrap NOUN american_scientific_journal-942 6 21 methods method NOUN american_scientific_journal-942 6 22 even even ADV american_scientific_journal-942 6 23 in in ADP american_scientific_journal-942 6 24 large large ADJ american_scientific_journal-942 6 25 samples sample NOUN american_scientific_journal-942 6 26 . . PUNCT american_scientific_journal-942 7 1 the the DET american_scientific_journal-942 7 2 โ€˜ ' PUNCT american_scientific_journal-942 7 3 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› ADJ american_scientific_journal-942 7 4 โ€™ ' PUNCT american_scientific_journal-942 7 5 bootstrap bootstrap NOUN american_scientific_journal-942 7 6 method method NOUN american_scientific_journal-942 7 7 was be AUX american_scientific_journal-942 7 8 therefore therefore ADV american_scientific_journal-942 7 9 , , PUNCT american_scientific_journal-942 7 10 proposed propose VERB american_scientific_journal-942 7 11 as as ADP american_scientific_journal-942 7 12 an an DET american_scientific_journal-942 7 13 alternative alternative ADJ american_scientific_journal-942 7 14 method method NOUN american_scientific_journal-942 7 15 to to ADP american_scientific_journal-942 7 16 โ€˜ ' PUNCT american_scientific_journal-942 7 17 ๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘œ๐‘œ๐‘› X american_scientific_journal-942 7 18 โ€™ ' PUNCT american_scientific_journal-942 7 19 bootstrap bootstrap NOUN american_scientific_journal-942 7 20 method method NOUN american_scientific_journal-942 7 21 . . PUNCT american_scientific_journal-942 8 1 the the DET american_scientific_journal-942 8 2 distribution distribution NOUN american_scientific_journal-942 8 3 involved involve VERB american_scientific_journal-942 8 4 has have VERB american_scientific_journal-942 8 5 finite finite ADJ american_scientific_journal-942 8 6 variance variance NOUN american_scientific_journal-942 8 7 . . PUNCT american_scientific_journal-942 9 1 the the DET american_scientific_journal-942 9 2 simulated simulate VERB american_scientific_journal-942 9 3 data data NOUN american_scientific_journal-942 9 4 sets set NOUN american_scientific_journal-942 9 5 used use VERB american_scientific_journal-942 9 6 was be AUX american_scientific_journal-942 9 7 drawn draw VERB american_scientific_journal-942 9 8 from from ADP american_scientific_journal-942 9 9 singh singh ADJ american_scientific_journal-942 9 10 - - PUNCT american_scientific_journal-942 9 11 maddala maddala NOUN american_scientific_journal-942 9 12 distribution distribution NOUN american_scientific_journal-942 9 13 . . PUNCT american_scientific_journal-942 10 1 the the DET american_scientific_journal-942 10 2 methodology methodology NOUN american_scientific_journal-942 10 3 involved involve VERB american_scientific_journal-942 10 4 decomposing decompose VERB american_scientific_journal-942 10 5 the the DET american_scientific_journal-942 10 6 empirical empirical ADJ american_scientific_journal-942 10 7 distribution distribution NOUN american_scientific_journal-942 10 8 and and CCONJ american_scientific_journal-942 10 9 sampling sample VERB american_scientific_journal-942 10 10 only only ADV american_scientific_journal-942 10 11 nโƒ› nโƒ› PROPN american_scientific_journal-942 10 12 times time NOUN american_scientific_journal-942 10 13 with with ADP american_scientific_journal-942 10 14 replacement replacement NOUN american_scientific_journal-942 10 15 from from ADP american_scientific_journal-942 10 16 a a DET american_scientific_journal-942 10 17 sample sample NOUN american_scientific_journal-942 10 18 size size NOUN american_scientific_journal-942 10 19 n n CCONJ american_scientific_journal-942 10 20 , , PUNCT american_scientific_journal-942 10 21 such such ADJ american_scientific_journal-942 10 22 that that SCONJ american_scientific_journal-942 10 23 nโƒ› nโƒ› PROPN american_scientific_journal-942 10 24 โ†’ โ†’ SYM american_scientific_journal-942 10 25 โˆž โˆž PROPN american_scientific_journal-942 10 26 as as ADP american_scientific_journal-942 10 27 n n PROPN american_scientific_journal-942 10 28 โ†’ โ†’ SYM american_scientific_journal-942 10 29 โˆž โˆž PROPN american_scientific_journal-942 10 30 , , PUNCT american_scientific_journal-942 10 31 and and CCONJ american_scientific_journal-942 10 32 nโƒ›/n nโƒ›/n NOUN american_scientific_journal-942 10 33 โ†’ โ†’ SYM american_scientific_journal-942 10 34 0 0 X american_scientific_journal-942 10 35 . . PUNCT american_scientific_journal-942 11 1 the the DET american_scientific_journal-942 11 2 performances performance NOUN american_scientific_journal-942 11 3 are be AUX american_scientific_journal-942 11 4 judged judge VERB american_scientific_journal-942 11 5 using use VERB american_scientific_journal-942 11 6 standard standard ADJ american_scientific_journal-942 11 7 error error NOUN american_scientific_journal-942 11 8 ; ; PUNCT american_scientific_journal-942 11 9 absolute absolute ADJ american_scientific_journal-942 11 10 bias bias NOUN american_scientific_journal-942 11 11 ; ; PUNCT american_scientific_journal-942 11 12 coefficient coefficient NOUN american_scientific_journal-942 11 13 of of ADP american_scientific_journal-942 11 14 variation variation NOUN american_scientific_journal-942 11 15 and and CCONJ american_scientific_journal-942 11 16 root root NOUN american_scientific_journal-942 11 17 mean mean ADJ american_scientific_journal-942 11 18 square square NOUN american_scientific_journal-942 11 19 error error NOUN american_scientific_journal-942 11 20 . . PUNCT american_scientific_journal-942 12 1 the the DET american_scientific_journal-942 12 2 findings finding NOUN american_scientific_journal-942 12 3 showed show VERB american_scientific_journal-942 12 4 that that SCONJ american_scientific_journal-942 12 5 โ€˜ ' PUNCT american_scientific_journal-942 12 6 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› NOUN american_scientific_journal-942 12 7 โ€™ ' PUNCT american_scientific_journal-942 12 8 performed perform VERB american_scientific_journal-942 12 9 better well ADV american_scientific_journal-942 12 10 than than ADP american_scientific_journal-942 12 11 ๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘œ๐‘œ๐‘› PRON american_scientific_journal-942 12 12 in in ADP american_scientific_journal-942 12 13 moderate moderate ADJ american_scientific_journal-942 12 14 and and CCONJ american_scientific_journal-942 12 15 larger large ADJ american_scientific_journal-942 12 16 samples sample NOUN american_scientific_journal-942 12 17 and and CCONJ american_scientific_journal-942 12 18 it it PRON american_scientific_journal-942 12 19 converged converge VERB american_scientific_journal-942 12 20 faster fast ADV american_scientific_journal-942 12 21 . . PUNCT american_scientific_journal-942 13 1 keywords keyword NOUN american_scientific_journal-942 13 2 : : PUNCT american_scientific_journal-942 13 3 bootstrap bootstrap NOUN american_scientific_journal-942 13 4 ; ; PUNCT american_scientific_journal-942 13 5 decomposition decomposition NOUN american_scientific_journal-942 13 6 ; ; PUNCT american_scientific_journal-942 13 7 heavy heavy ADJ american_scientific_journal-942 13 8 - - PUNCT american_scientific_journal-942 13 9 tailed tail VERB american_scientific_journal-942 13 10 distributions distribution NOUN american_scientific_journal-942 13 11 ; ; PUNCT american_scientific_journal-942 13 12 singh singh ADJ american_scientific_journal-942 13 13 - - PUNCT american_scientific_journal-942 13 14 maddala maddala NOUN american_scientific_journal-942 13 15 distribution distribution NOUN american_scientific_journal-942 13 16 . . PUNCT american_scientific_journal-942 14 1 1 1 X american_scientific_journal-942 14 2 . . X american_scientific_journal-942 14 3 introduction introduction NOUN american_scientific_journal-942 14 4 1.1 1.1 NUM american_scientific_journal-942 14 5 . . PUNCT american_scientific_journal-942 15 1 background background NOUN american_scientific_journal-942 15 2 of of ADP american_scientific_journal-942 15 3 the the DET american_scientific_journal-942 15 4 study study NOUN american_scientific_journal-942 15 5 this this DET american_scientific_journal-942 15 6 study study NOUN american_scientific_journal-942 15 7 is be AUX american_scientific_journal-942 15 8 concerned concern VERB american_scientific_journal-942 15 9 with with ADP american_scientific_journal-942 15 10 finding find VERB american_scientific_journal-942 15 11 a a DET american_scientific_journal-942 15 12 reliable reliable ADJ american_scientific_journal-942 15 13 alternative alternative ADJ american_scientific_journal-942 15 14 bootstrap bootstrap NOUN american_scientific_journal-942 15 15 method method NOUN american_scientific_journal-942 15 16 to to ADP american_scientific_journal-942 15 17 heavy heavy ADJ american_scientific_journal-942 15 18 - - PUNCT american_scientific_journal-942 15 19 tailed tail VERB american_scientific_journal-942 15 20 distributions distribution NOUN american_scientific_journal-942 15 21 . . PUNCT american_scientific_journal-942 16 1 the the DET american_scientific_journal-942 16 2 tail tail NOUN american_scientific_journal-942 16 3 of of ADP american_scientific_journal-942 16 4 a a DET american_scientific_journal-942 16 5 distribution distribution NOUN american_scientific_journal-942 16 6 , , PUNCT american_scientific_journal-942 16 7 especially especially ADV american_scientific_journal-942 16 8 the the DET american_scientific_journal-942 16 9 upper upper ADJ american_scientific_journal-942 16 10 tail tail NOUN american_scientific_journal-942 16 11 affects affect VERB american_scientific_journal-942 16 12 the the DET american_scientific_journal-942 16 13 performance performance NOUN american_scientific_journal-942 16 14 of of ADP american_scientific_journal-942 16 15 bootstrap bootstrap NOUN american_scientific_journal-942 16 16 methods method NOUN american_scientific_journal-942 16 17 . . PUNCT american_scientific_journal-942 17 1 ----------------------------------------------------------------------- ----------------------------------------------------------------------- PUNCT american_scientific_journal-942 18 1 * * PUNCT american_scientific_journal-942 18 2 corresponding correspond VERB american_scientific_journal-942 18 3 author author NOUN american_scientific_journal-942 18 4 . . PUNCT american_scientific_journal-942 19 1 e e X american_scientific_journal-942 19 2 - - NOUN american_scientific_journal-942 19 3 mail mail NOUN american_scientific_journal-942 19 4 address address NOUN american_scientific_journal-942 19 5 : : PUNCT american_scientific_journal-942 19 6 folashadeopayinka@gmail.com folashadeopayinka@gmail.com X american_scientific_journal-942 19 7 142 142 NUM american_scientific_journal-942 19 8 http://asrjetsjournal.org/ http://asrjetsjournal.org/ PROPN american_scientific_journal-942 19 9 american american ADJ american_scientific_journal-942 19 10 scientific scientific ADJ american_scientific_journal-942 19 11 research research NOUN american_scientific_journal-942 19 12 journal journal NOUN american_scientific_journal-942 19 13 for for ADP american_scientific_journal-942 19 14 engineering engineering NOUN american_scientific_journal-942 19 15 , , PUNCT american_scientific_journal-942 19 16 technology technology NOUN american_scientific_journal-942 19 17 , , PUNCT american_scientific_journal-942 19 18 and and CCONJ american_scientific_journal-942 19 19 sciences science NOUN american_scientific_journal-942 19 20 ( ( PUNCT american_scientific_journal-942 19 21 asrjets asrjet NOUN american_scientific_journal-942 19 22 ) ) PUNCT american_scientific_journal-942 19 23 ( ( PUNCT american_scientific_journal-942 19 24 2015 2015 NUM american_scientific_journal-942 19 25 ) ) PUNCT american_scientific_journal-942 19 26 volume volume NOUN american_scientific_journal-942 19 27 14 14 NUM american_scientific_journal-942 19 28 , , PUNCT american_scientific_journal-942 19 29 no no DET american_scientific_journal-942 19 30 1 1 NUM american_scientific_journal-942 19 31 , , PUNCT american_scientific_journal-942 19 32 pp pp ADV american_scientific_journal-942 19 33 142 142 NUM american_scientific_journal-942 19 34 - - SYM american_scientific_journal-942 19 35 155 155 NUM american_scientific_journal-942 19 36 bootstrap bootstrap NOUN american_scientific_journal-942 19 37 is be AUX american_scientific_journal-942 19 38 a a DET american_scientific_journal-942 19 39 resampling resample VERB american_scientific_journal-942 19 40 procedure procedure NOUN american_scientific_journal-942 19 41 developed develop VERB american_scientific_journal-942 19 42 by by ADP american_scientific_journal-942 19 43 efron efron PROPN american_scientific_journal-942 19 44 in in ADP american_scientific_journal-942 19 45 1979 1979 NUM american_scientific_journal-942 19 46 . . PUNCT american_scientific_journal-942 20 1 the the DET american_scientific_journal-942 20 2 usual usual ADJ american_scientific_journal-942 20 3 practice practice NOUN american_scientific_journal-942 20 4 when when SCONJ american_scientific_journal-942 20 5 estimating estimate VERB american_scientific_journal-942 20 6 the the DET american_scientific_journal-942 20 7 properties property NOUN american_scientific_journal-942 20 8 of of ADP american_scientific_journal-942 20 9 an an DET american_scientific_journal-942 20 10 estimator estimator NOUN american_scientific_journal-942 20 11 ( ( PUNCT american_scientific_journal-942 20 12 such such ADJ american_scientific_journal-942 20 13 as as ADP american_scientific_journal-942 20 14 its its PRON american_scientific_journal-942 20 15 variance variance NOUN american_scientific_journal-942 20 16 ) ) PUNCT american_scientific_journal-942 20 17 is be AUX american_scientific_journal-942 20 18 by by ADP american_scientific_journal-942 20 19 measuring measure VERB american_scientific_journal-942 20 20 those those DET american_scientific_journal-942 20 21 properties property NOUN american_scientific_journal-942 20 22 when when SCONJ american_scientific_journal-942 20 23 sampling sample VERB american_scientific_journal-942 20 24 from from ADP american_scientific_journal-942 20 25 an an DET american_scientific_journal-942 20 26 approximating approximate VERB american_scientific_journal-942 20 27 distribution distribution NOUN american_scientific_journal-942 20 28 . . PUNCT american_scientific_journal-942 21 1 empirical empirical ADJ american_scientific_journal-942 21 2 distribution distribution NOUN american_scientific_journal-942 21 3 of of ADP american_scientific_journal-942 21 4 the the DET american_scientific_journal-942 21 5 observed observe VERB american_scientific_journal-942 21 6 data data NOUN american_scientific_journal-942 21 7 is be AUX american_scientific_journal-942 21 8 a a DET american_scientific_journal-942 21 9 standard standard ADJ american_scientific_journal-942 21 10 choice choice NOUN american_scientific_journal-942 21 11 for for ADP american_scientific_journal-942 21 12 an an DET american_scientific_journal-942 21 13 approximating approximate VERB american_scientific_journal-942 21 14 distribution distribution NOUN american_scientific_journal-942 21 15 . . PUNCT american_scientific_journal-942 22 1 the the DET american_scientific_journal-942 22 2 resampling resampling NOUN american_scientific_journal-942 22 3 could could AUX american_scientific_journal-942 22 4 be be AUX american_scientific_journal-942 22 5 done do VERB american_scientific_journal-942 22 6 from from ADP american_scientific_journal-942 22 7 an an DET american_scientific_journal-942 22 8 independent independent ADJ american_scientific_journal-942 22 9 and and CCONJ american_scientific_journal-942 22 10 identically identically ADV american_scientific_journal-942 22 11 distributed distribute VERB american_scientific_journal-942 22 12 ( ( PUNCT american_scientific_journal-942 22 13 ๐‘–๐‘–๐‘‘ ๐‘–๐‘–๐‘‘ NOUN american_scientific_journal-942 22 14 ) ) PUNCT american_scientific_journal-942 22 15 population population NOUN american_scientific_journal-942 22 16 . . PUNCT american_scientific_journal-942 23 1 bootstrap bootstrap NOUN american_scientific_journal-942 23 2 is be AUX american_scientific_journal-942 23 3 used use VERB american_scientific_journal-942 23 4 when when SCONJ american_scientific_journal-942 23 5 parametric parametric ADJ american_scientific_journal-942 23 6 assumptions assumption NOUN american_scientific_journal-942 23 7 are be AUX american_scientific_journal-942 23 8 in in ADP american_scientific_journal-942 23 9 doubt doubt NOUN american_scientific_journal-942 23 10 , , PUNCT american_scientific_journal-942 23 11 when when SCONJ american_scientific_journal-942 23 12 the the DET american_scientific_journal-942 23 13 formulas formula NOUN american_scientific_journal-942 23 14 for for ADP american_scientific_journal-942 23 15 the the DET american_scientific_journal-942 23 16 calculation calculation NOUN american_scientific_journal-942 23 17 of of ADP american_scientific_journal-942 23 18 standard standard ADJ american_scientific_journal-942 23 19 errors error NOUN american_scientific_journal-942 23 20 are be AUX american_scientific_journal-942 23 21 complicated complicate VERB american_scientific_journal-942 23 22 in in ADP american_scientific_journal-942 23 23 parametric parametric ADJ american_scientific_journal-942 23 24 inference inference NOUN american_scientific_journal-942 23 25 . . PUNCT american_scientific_journal-942 24 1 there there PRON american_scientific_journal-942 24 2 is be VERB american_scientific_journal-942 24 3 no no DET american_scientific_journal-942 24 4 need need NOUN american_scientific_journal-942 24 5 to to PART american_scientific_journal-942 24 6 force force VERB american_scientific_journal-942 24 7 gaussian gaussian NOUN american_scientific_journal-942 24 8 or or CCONJ american_scientific_journal-942 24 9 any any DET american_scientific_journal-942 24 10 other other ADJ american_scientific_journal-942 24 11 parametric parametric ADJ american_scientific_journal-942 24 12 distributional distributional ADJ american_scientific_journal-942 24 13 assumptions assumption NOUN american_scientific_journal-942 24 14 on on ADP american_scientific_journal-942 24 15 data datum NOUN american_scientific_journal-942 24 16 . . PUNCT american_scientific_journal-942 25 1 the the DET american_scientific_journal-942 25 2 distribution distribution NOUN american_scientific_journal-942 25 3 could could AUX american_scientific_journal-942 25 4 be be AUX american_scientific_journal-942 25 5 skewed skew VERB american_scientific_journal-942 25 6 , , PUNCT american_scientific_journal-942 25 7 multimodal multimodal ADJ american_scientific_journal-942 25 8 , , PUNCT american_scientific_journal-942 25 9 and and CCONJ american_scientific_journal-942 25 10 heavy heavy ADV american_scientific_journal-942 25 11 - - PUNCT american_scientific_journal-942 25 12 tailed tailed ADJ american_scientific_journal-942 25 13 ; ; PUNCT american_scientific_journal-942 25 14 the the DET american_scientific_journal-942 25 15 estimator estimator NOUN american_scientific_journal-942 25 16 of of ADP american_scientific_journal-942 25 17 interest interest NOUN american_scientific_journal-942 25 18 could could AUX american_scientific_journal-942 25 19 be be AUX american_scientific_journal-942 25 20 complicated complicate VERB american_scientific_journal-942 25 21 [ [ X american_scientific_journal-942 25 22 1 1 NUM american_scientific_journal-942 25 23 ] ] PUNCT american_scientific_journal-942 25 24 . . PUNCT american_scientific_journal-942 26 1 the the DET american_scientific_journal-942 26 2 use use NOUN american_scientific_journal-942 26 3 of of ADP american_scientific_journal-942 26 4 bootstrap bootstrap NOUN american_scientific_journal-942 26 5 has have AUX american_scientific_journal-942 26 6 been be AUX american_scientific_journal-942 26 7 applied apply VERB american_scientific_journal-942 26 8 to to ADP american_scientific_journal-942 26 9 many many ADJ american_scientific_journal-942 26 10 estimators estimator NOUN american_scientific_journal-942 26 11 within within ADP american_scientific_journal-942 26 12 cross cross ADJ american_scientific_journal-942 26 13 - - ADJ american_scientific_journal-942 26 14 section section ADJ american_scientific_journal-942 26 15 data datum NOUN american_scientific_journal-942 26 16 [ [ X american_scientific_journal-942 26 17 2 2 NUM american_scientific_journal-942 26 18 ] ] PUNCT american_scientific_journal-942 26 19 . . PUNCT american_scientific_journal-942 27 1 in in ADP american_scientific_journal-942 27 2 heavy heavy ADJ american_scientific_journal-942 27 3 - - PUNCT american_scientific_journal-942 27 4 tailed tail VERB american_scientific_journal-942 27 5 distributions distribution NOUN american_scientific_journal-942 27 6 like like ADP american_scientific_journal-942 27 7 income income NOUN american_scientific_journal-942 27 8 distribution distribution NOUN american_scientific_journal-942 27 9 , , PUNCT american_scientific_journal-942 27 10 there there PRON american_scientific_journal-942 27 11 is be VERB american_scientific_journal-942 27 12 frequency frequency NOUN american_scientific_journal-942 27 13 of of ADP american_scientific_journal-942 27 14 outliers outlier NOUN american_scientific_journal-942 27 15 in in ADP american_scientific_journal-942 27 16 data data NOUN american_scientific_journal-942 27 17 sets set NOUN american_scientific_journal-942 27 18 , , PUNCT american_scientific_journal-942 27 19 which which PRON american_scientific_journal-942 27 20 usually usually ADV american_scientific_journal-942 27 21 cause cause VERB american_scientific_journal-942 27 22 difficulties difficulty NOUN american_scientific_journal-942 27 23 in in ADP american_scientific_journal-942 27 24 the the DET american_scientific_journal-942 27 25 use use NOUN american_scientific_journal-942 27 26 of of ADP american_scientific_journal-942 27 27 asymptotic asymptotic ADJ american_scientific_journal-942 27 28 and and CCONJ american_scientific_journal-942 27 29 bootstrap bootstrap NOUN american_scientific_journal-942 27 30 methods method NOUN american_scientific_journal-942 27 31 . . PUNCT american_scientific_journal-942 28 1 the the DET american_scientific_journal-942 28 2 nature nature NOUN american_scientific_journal-942 28 3 of of ADP american_scientific_journal-942 28 4 the the DET american_scientific_journal-942 28 5 upper upper ADJ american_scientific_journal-942 28 6 - - PUNCT american_scientific_journal-942 28 7 tail tail NOUN american_scientific_journal-942 28 8 of of ADP american_scientific_journal-942 28 9 the the DET american_scientific_journal-942 28 10 distribution distribution NOUN american_scientific_journal-942 28 11 generally generally ADV american_scientific_journal-942 28 12 affects affect VERB american_scientific_journal-942 28 13 the the DET american_scientific_journal-942 28 14 performance performance NOUN american_scientific_journal-942 28 15 of of ADP american_scientific_journal-942 28 16 the the DET american_scientific_journal-942 28 17 methods method NOUN american_scientific_journal-942 28 18 [ [ X american_scientific_journal-942 28 19 3 3 NUM american_scientific_journal-942 28 20 ] ] PUNCT american_scientific_journal-942 28 21 . . PUNCT american_scientific_journal-942 29 1 the the DET american_scientific_journal-942 29 2 author author NOUN american_scientific_journal-942 29 3 in in ADP american_scientific_journal-942 29 4 [ [ X american_scientific_journal-942 29 5 4 4 NUM american_scientific_journal-942 29 6 ] ] PUNCT american_scientific_journal-942 29 7 proposed propose VERB american_scientific_journal-942 29 8 the the DET american_scientific_journal-942 29 9 use use NOUN american_scientific_journal-942 29 10 of of ADP american_scientific_journal-942 29 11 the the DET american_scientific_journal-942 29 12 bootstrap bootstrap NOUN american_scientific_journal-942 29 13 for for ADP american_scientific_journal-942 29 14 the the DET american_scientific_journal-942 29 15 most most ADV american_scientific_journal-942 29 16 commonly commonly ADV american_scientific_journal-942 29 17 applied apply VERB american_scientific_journal-942 29 18 procedures procedure NOUN american_scientific_journal-942 29 19 in in ADP american_scientific_journal-942 29 20 inequality inequality NOUN american_scientific_journal-942 29 21 , , PUNCT american_scientific_journal-942 29 22 mobility mobility NOUN american_scientific_journal-942 29 23 and and CCONJ american_scientific_journal-942 29 24 poverty poverty NOUN american_scientific_journal-942 29 25 measurements measurement NOUN american_scientific_journal-942 29 26 . . PUNCT american_scientific_journal-942 30 1 he he PRON american_scientific_journal-942 30 2 suggests suggest VERB american_scientific_journal-942 30 3 that that SCONJ american_scientific_journal-942 30 4 the the DET american_scientific_journal-942 30 5 simplest simple ADJ american_scientific_journal-942 30 6 possible possible ADJ american_scientific_journal-942 30 7 bootstrap bootstrap NOUN american_scientific_journal-942 30 8 procedure procedure NOUN american_scientific_journal-942 30 9 should should AUX american_scientific_journal-942 30 10 be be AUX american_scientific_journal-942 30 11 the the DET american_scientific_journal-942 30 12 preferred preferred ADJ american_scientific_journal-942 30 13 method method NOUN american_scientific_journal-942 30 14 in in ADP american_scientific_journal-942 30 15 practice practice NOUN american_scientific_journal-942 30 16 because because SCONJ american_scientific_journal-942 30 17 it it PRON american_scientific_journal-942 30 18 achieves achieve VERB american_scientific_journal-942 30 19 precision precision NOUN american_scientific_journal-942 30 20 and and CCONJ american_scientific_journal-942 30 21 takes take VERB american_scientific_journal-942 30 22 into into ADP american_scientific_journal-942 30 23 account account NOUN american_scientific_journal-942 30 24 the the DET american_scientific_journal-942 30 25 stochastic stochastic ADJ american_scientific_journal-942 30 26 dependencies dependency NOUN american_scientific_journal-942 30 27 in in ADP american_scientific_journal-942 30 28 the the DET american_scientific_journal-942 30 29 data datum NOUN american_scientific_journal-942 30 30 , , PUNCT american_scientific_journal-942 30 31 without without ADP american_scientific_journal-942 30 32 the the DET american_scientific_journal-942 30 33 need need NOUN american_scientific_journal-942 30 34 of of ADP american_scientific_journal-942 30 35 dealing deal VERB american_scientific_journal-942 30 36 with with ADP american_scientific_journal-942 30 37 its its PRON american_scientific_journal-942 30 38 covariance covariance NOUN american_scientific_journal-942 30 39 structure structure NOUN american_scientific_journal-942 30 40 explicitly explicitly ADV american_scientific_journal-942 30 41 . . PUNCT american_scientific_journal-942 31 1 his his PRON american_scientific_journal-942 31 2 simulation simulation NOUN american_scientific_journal-942 31 3 results result NOUN american_scientific_journal-942 31 4 suggest suggest VERB american_scientific_journal-942 31 5 that that SCONJ american_scientific_journal-942 31 6 the the DET american_scientific_journal-942 31 7 bootstrap bootstrap NOUN american_scientific_journal-942 31 8 performs perform VERB american_scientific_journal-942 31 9 well well ADV american_scientific_journal-942 31 10 in in ADP american_scientific_journal-942 31 11 finite finite ADJ american_scientific_journal-942 31 12 samples sample NOUN american_scientific_journal-942 31 13 . . PUNCT american_scientific_journal-942 32 1 he he PRON american_scientific_journal-942 32 2 also also ADV american_scientific_journal-942 32 3 decomposed decompose VERB american_scientific_journal-942 32 4 income income NOUN american_scientific_journal-942 32 5 distribution distribution NOUN american_scientific_journal-942 32 6 into into ADP american_scientific_journal-942 32 7 subgroup subgroup NOUN american_scientific_journal-942 32 8 such such ADJ american_scientific_journal-942 32 9 that that PRON american_scientific_journal-942 32 10 ; ; PUNCT american_scientific_journal-942 32 11 ๐‘ค๐‘– ๐‘ค๐‘– X american_scientific_journal-942 32 12 , , PUNCT american_scientific_journal-942 32 13 ๐‘ฅ๐‘– ๐‘ฅ๐‘– PRON american_scientific_journal-942 32 14 are be AUX american_scientific_journal-942 32 15 the the DET american_scientific_journal-942 32 16 weights weight NOUN american_scientific_journal-942 32 17 and and CCONJ american_scientific_journal-942 32 18 income income NOUN american_scientific_journal-942 32 19 sources source NOUN american_scientific_journal-942 32 20 respectively respectively ADV american_scientific_journal-942 32 21 . . PUNCT american_scientific_journal-942 33 1 his his PRON american_scientific_journal-942 33 2 study study NOUN american_scientific_journal-942 33 3 regarded regard VERB american_scientific_journal-942 33 4 all all DET american_scientific_journal-942 33 5 subgroups subgroup NOUN american_scientific_journal-942 33 6 to to PART american_scientific_journal-942 33 7 constitute constitute VERB american_scientific_journal-942 33 8 the the DET american_scientific_journal-942 33 9 population population NOUN american_scientific_journal-942 33 10 and and CCONJ american_scientific_journal-942 33 11 all all DET american_scientific_journal-942 33 12 subgroups subgroup NOUN american_scientific_journal-942 33 13 are be AUX american_scientific_journal-942 33 14 disjoint disjoint ADJ american_scientific_journal-942 33 15 . . PUNCT american_scientific_journal-942 34 1 the the DET american_scientific_journal-942 34 2 authors author NOUN american_scientific_journal-942 34 3 in in ADP american_scientific_journal-942 34 4 [ [ X american_scientific_journal-942 34 5 3 3 NUM american_scientific_journal-942 34 6 ] ] PUNCT american_scientific_journal-942 34 7 studied study VERB american_scientific_journal-942 34 8 finite finite ADJ american_scientific_journal-942 34 9 - - ADJ american_scientific_journal-942 34 10 sample sample NOUN american_scientific_journal-942 34 11 performance performance NOUN american_scientific_journal-942 34 12 of of ADP american_scientific_journal-942 34 13 asymptotic asymptotic ADJ american_scientific_journal-942 34 14 and and CCONJ american_scientific_journal-942 34 15 bootstrap bootstrap NOUN american_scientific_journal-942 34 16 inference inference NOUN american_scientific_journal-942 34 17 for for ADP american_scientific_journal-942 34 18 both both PRON american_scientific_journal-942 34 19 inequality inequality NOUN american_scientific_journal-942 34 20 and and CCONJ american_scientific_journal-942 34 21 poverty poverty NOUN american_scientific_journal-942 34 22 measures measure NOUN american_scientific_journal-942 34 23 . . PUNCT american_scientific_journal-942 35 1 their their PRON american_scientific_journal-942 35 2 simulation simulation NOUN american_scientific_journal-942 35 3 results result NOUN american_scientific_journal-942 35 4 showed show VERB american_scientific_journal-942 35 5 that that SCONJ american_scientific_journal-942 35 6 neither neither CCONJ american_scientific_journal-942 35 7 asymptotic asymptotic ADJ american_scientific_journal-942 35 8 nor nor CCONJ american_scientific_journal-942 35 9 classical classical ADJ american_scientific_journal-942 35 10 bootstrap bootstrap NOUN american_scientific_journal-942 35 11 inference inference NOUN american_scientific_journal-942 35 12 for for ADP american_scientific_journal-942 35 13 inequality inequality NOUN american_scientific_journal-942 35 14 measures measure NOUN american_scientific_journal-942 35 15 perform perform VERB american_scientific_journal-942 35 16 well well ADV american_scientific_journal-942 35 17 , , PUNCT american_scientific_journal-942 35 18 even even ADV american_scientific_journal-942 35 19 when when SCONJ american_scientific_journal-942 35 20 the the DET american_scientific_journal-942 35 21 sample sample NOUN american_scientific_journal-942 35 22 size size NOUN american_scientific_journal-942 35 23 is be AUX american_scientific_journal-942 35 24 large large ADJ american_scientific_journal-942 35 25 enough enough ADV american_scientific_journal-942 35 26 . . PUNCT american_scientific_journal-942 36 1 they they PRON american_scientific_journal-942 36 2 found find VERB american_scientific_journal-942 36 3 that that SCONJ american_scientific_journal-942 36 4 the the DET american_scientific_journal-942 36 5 performances performance NOUN american_scientific_journal-942 36 6 of of ADP american_scientific_journal-942 36 7 both both CCONJ american_scientific_journal-942 36 8 asymptotic asymptotic ADJ american_scientific_journal-942 36 9 and and CCONJ american_scientific_journal-942 36 10 bootstrap bootstrap NOUN american_scientific_journal-942 36 11 are be AUX american_scientific_journal-942 36 12 affected affect VERB american_scientific_journal-942 36 13 by by ADP american_scientific_journal-942 36 14 the the DET american_scientific_journal-942 36 15 nature nature NOUN american_scientific_journal-942 36 16 of of ADP american_scientific_journal-942 36 17 the the DET american_scientific_journal-942 36 18 upper upper ADJ american_scientific_journal-942 36 19 - - PUNCT american_scientific_journal-942 36 20 tail tail NOUN american_scientific_journal-942 36 21 of of ADP american_scientific_journal-942 36 22 the the DET american_scientific_journal-942 36 23 income income NOUN american_scientific_journal-942 36 24 distribution distribution NOUN american_scientific_journal-942 36 25 . . PUNCT american_scientific_journal-942 37 1 authors author NOUN american_scientific_journal-942 37 2 of of ADP american_scientific_journal-942 37 3 some some DET american_scientific_journal-942 37 4 studies study NOUN american_scientific_journal-942 37 5 [ [ X american_scientific_journal-942 37 6 4 4 NUM american_scientific_journal-942 37 7 , , PUNCT american_scientific_journal-942 37 8 5 5 NUM american_scientific_journal-942 37 9 ] ] PUNCT american_scientific_journal-942 37 10 involving involve VERB american_scientific_journal-942 37 11 heavy heavy ADJ american_scientific_journal-942 37 12 - - PUNCT american_scientific_journal-942 37 13 tailed tail VERB american_scientific_journal-942 37 14 distribution distribution NOUN american_scientific_journal-942 37 15 recommend recommend VERB american_scientific_journal-942 37 16 the the DET american_scientific_journal-942 37 17 use use NOUN american_scientific_journal-942 37 18 of of ADP american_scientific_journal-942 37 19 bootstrap bootstrap NOUN american_scientific_journal-942 37 20 rather rather ADV american_scientific_journal-942 37 21 than than ADP american_scientific_journal-942 37 22 asymptotic asymptotic ADJ american_scientific_journal-942 37 23 methods method NOUN american_scientific_journal-942 37 24 . . PUNCT american_scientific_journal-942 38 1 after after ADP american_scientific_journal-942 38 2 the the DET american_scientific_journal-942 38 3 publication publication NOUN american_scientific_journal-942 38 4 of of ADP american_scientific_journal-942 38 5 efron efron PROPN american_scientific_journal-942 38 6 in in ADP american_scientific_journal-942 38 7 1982 1982 NUM american_scientific_journal-942 38 8 , , PUNCT american_scientific_journal-942 38 9 research research NOUN american_scientific_journal-942 38 10 activity activity NOUN american_scientific_journal-942 38 11 on on ADP american_scientific_journal-942 38 12 the the DET american_scientific_journal-942 38 13 bootstrap bootstrap NOUN american_scientific_journal-942 38 14 grew grow VERB american_scientific_journal-942 38 15 so so ADV american_scientific_journal-942 38 16 fast fast ADV american_scientific_journal-942 38 17 with with ADP american_scientific_journal-942 38 18 the the DET american_scientific_journal-942 38 19 emergence emergence NOUN american_scientific_journal-942 38 20 of of ADP american_scientific_journal-942 38 21 many many ADJ american_scientific_journal-942 38 22 theoretical theoretical ADJ american_scientific_journal-942 38 23 developments development NOUN american_scientific_journal-942 38 24 on on ADP american_scientific_journal-942 38 25 the the DET american_scientific_journal-942 38 26 asymptotic asymptotic ADJ american_scientific_journal-942 38 27 consistency consistency NOUN american_scientific_journal-942 38 28 of of ADP american_scientific_journal-942 38 29 bootstrap bootstrap NOUN american_scientific_journal-942 38 30 estimate estimate NOUN american_scientific_journal-942 38 31 coupled couple VERB american_scientific_journal-942 38 32 with with ADP american_scientific_journal-942 38 33 real real ADJ american_scientific_journal-942 38 34 - - PUNCT american_scientific_journal-942 38 35 world world NOUN american_scientific_journal-942 38 36 applications application NOUN american_scientific_journal-942 38 37 . . PUNCT american_scientific_journal-942 39 1 focus focus NOUN american_scientific_journal-942 39 2 changed change VERB american_scientific_journal-942 39 3 in in ADP american_scientific_journal-942 39 4 1990s 1990 NOUN american_scientific_journal-942 39 5 to to ADP american_scientific_journal-942 39 6 finding find VERB american_scientific_journal-942 39 7 applications application NOUN american_scientific_journal-942 39 8 and and CCONJ american_scientific_journal-942 39 9 variants variant NOUN american_scientific_journal-942 39 10 that that PRON american_scientific_journal-942 39 11 would would AUX american_scientific_journal-942 39 12 perform perform VERB american_scientific_journal-942 39 13 well well ADV american_scientific_journal-942 39 14 in in ADP american_scientific_journal-942 39 15 practice practice NOUN american_scientific_journal-942 39 16 . . PUNCT american_scientific_journal-942 40 1 some some DET american_scientific_journal-942 40 2 studies study NOUN american_scientific_journal-942 40 3 on on ADP american_scientific_journal-942 40 4 bootstrap bootstrap NOUN american_scientific_journal-942 40 5 inference inference NOUN american_scientific_journal-942 40 6 for for ADP american_scientific_journal-942 40 7 inequality inequality NOUN american_scientific_journal-942 40 8 measures measure NOUN american_scientific_journal-942 40 9 were be AUX american_scientific_journal-942 40 10 done do VERB american_scientific_journal-942 40 11 and and CCONJ american_scientific_journal-942 40 12 the the DET american_scientific_journal-942 40 13 use use NOUN american_scientific_journal-942 40 14 of of ADP american_scientific_journal-942 40 15 bootstrap bootstrap NOUN american_scientific_journal-942 40 16 methods method NOUN american_scientific_journal-942 40 17 rather rather ADV american_scientific_journal-942 40 18 than than ADP american_scientific_journal-942 40 19 asymptotic asymptotic ADJ american_scientific_journal-942 40 20 methods method NOUN american_scientific_journal-942 40 21 was be AUX american_scientific_journal-942 40 22 recommended recommend VERB american_scientific_journal-942 40 23 [ [ PUNCT american_scientific_journal-942 40 24 1 1 NUM american_scientific_journal-942 40 25 ] ] PUNCT american_scientific_journal-942 40 26 . . PUNCT american_scientific_journal-942 41 1 heavy heavy ADJ american_scientific_journal-942 41 2 - - PUNCT american_scientific_journal-942 41 3 tail tail NOUN american_scientific_journal-942 41 4 means mean VERB american_scientific_journal-942 41 5 that that SCONJ american_scientific_journal-942 41 6 the the DET american_scientific_journal-942 41 7 probability probability NOUN american_scientific_journal-942 41 8 of of ADP american_scientific_journal-942 41 9 getting get VERB american_scientific_journal-942 41 10 very very ADV american_scientific_journal-942 41 11 large large ADJ american_scientific_journal-942 41 12 values value NOUN american_scientific_journal-942 41 13 is be AUX american_scientific_journal-942 41 14 high high ADJ american_scientific_journal-942 41 15 . . PUNCT american_scientific_journal-942 42 1 therefore therefore ADV american_scientific_journal-942 42 2 , , PUNCT american_scientific_journal-942 42 3 heavy heavy ADJ american_scientific_journal-942 42 4 - - PUNCT american_scientific_journal-942 42 5 tailed tail VERB american_scientific_journal-942 42 6 distributions distribution NOUN american_scientific_journal-942 42 7 typically typically ADV american_scientific_journal-942 42 8 represent represent VERB american_scientific_journal-942 42 9 wild wild ADJ american_scientific_journal-942 42 10 as as SCONJ american_scientific_journal-942 42 11 opposed oppose VERB american_scientific_journal-942 42 12 to to ADP american_scientific_journal-942 42 13 mild mild ADJ american_scientific_journal-942 42 14 randomness randomness NOUN american_scientific_journal-942 42 15 , , PUNCT american_scientific_journal-942 42 16 examples example NOUN american_scientific_journal-942 42 17 are be AUX american_scientific_journal-942 42 18 income income NOUN american_scientific_journal-942 42 19 distributions distribution NOUN american_scientific_journal-942 42 20 , , PUNCT american_scientific_journal-942 42 21 financial financial ADJ american_scientific_journal-942 42 22 returns return NOUN american_scientific_journal-942 42 23 , , PUNCT american_scientific_journal-942 42 24 insurance insurance NOUN american_scientific_journal-942 42 25 payouts payout NOUN american_scientific_journal-942 42 26 , , PUNCT american_scientific_journal-942 42 27 reference reference NOUN american_scientific_journal-942 42 28 links link NOUN american_scientific_journal-942 42 29 on on ADP american_scientific_journal-942 42 30 the the DET american_scientific_journal-942 42 31 web web NOUN american_scientific_journal-942 42 32 etc etc X american_scientific_journal-942 42 33 . . PUNCT american_scientific_journal-942 43 1 a a DET american_scientific_journal-942 43 2 technical technical ADJ american_scientific_journal-942 43 3 difficulty difficulty NOUN american_scientific_journal-942 43 4 is be AUX american_scientific_journal-942 43 5 that that SCONJ american_scientific_journal-942 43 6 , , PUNCT american_scientific_journal-942 43 7 all all DET american_scientific_journal-942 43 8 moments moment NOUN american_scientific_journal-942 43 9 do do AUX american_scientific_journal-942 43 10 not not PART american_scientific_journal-942 43 11 exist exist VERB american_scientific_journal-942 43 12 for for ADP american_scientific_journal-942 43 13 these these DET american_scientific_journal-942 43 14 distributions distribution NOUN american_scientific_journal-942 43 15 . . PUNCT american_scientific_journal-942 44 1 heavy heavy ADJ american_scientific_journal-942 44 2 - - PUNCT american_scientific_journal-942 44 3 tailed tail VERB american_scientific_journal-942 44 4 distributions distribution NOUN american_scientific_journal-942 44 5 that that PRON american_scientific_journal-942 44 6 are be AUX american_scientific_journal-942 44 7 often often ADV american_scientific_journal-942 44 8 used use VERB american_scientific_journal-942 44 9 include include VERB american_scientific_journal-942 44 10 : : PUNCT american_scientific_journal-942 44 11 burr burr NOUN american_scientific_journal-942 44 12 ( ( PUNCT american_scientific_journal-942 44 13 singh singh NOUN american_scientific_journal-942 44 14 - - PUNCT american_scientific_journal-942 44 15 maddala maddala NOUN american_scientific_journal-942 44 16 ) ) PUNCT american_scientific_journal-942 44 17 distribution distribution NOUN american_scientific_journal-942 44 18 , , PUNCT american_scientific_journal-942 44 19 pareto pareto ADJ american_scientific_journal-942 44 20 distribution distribution NOUN american_scientific_journal-942 44 21 , , PUNCT american_scientific_journal-942 44 22 143 143 NUM american_scientific_journal-942 44 23 american american ADJ american_scientific_journal-942 44 24 scientific scientific ADJ american_scientific_journal-942 44 25 research research NOUN american_scientific_journal-942 44 26 journal journal NOUN american_scientific_journal-942 44 27 for for ADP american_scientific_journal-942 44 28 engineering engineering NOUN american_scientific_journal-942 44 29 , , PUNCT american_scientific_journal-942 44 30 technology technology NOUN american_scientific_journal-942 44 31 , , PUNCT american_scientific_journal-942 44 32 and and CCONJ american_scientific_journal-942 44 33 sciences science NOUN american_scientific_journal-942 44 34 ( ( PUNCT american_scientific_journal-942 44 35 asrjets asrjet NOUN american_scientific_journal-942 44 36 ) ) PUNCT american_scientific_journal-942 44 37 ( ( PUNCT american_scientific_journal-942 44 38 2015 2015 NUM american_scientific_journal-942 44 39 ) ) PUNCT american_scientific_journal-942 44 40 volume volume NOUN american_scientific_journal-942 44 41 14 14 NUM american_scientific_journal-942 44 42 , , PUNCT american_scientific_journal-942 44 43 no no DET american_scientific_journal-942 44 44 1 1 NUM american_scientific_journal-942 44 45 , , PUNCT american_scientific_journal-942 44 46 pp pp ADV american_scientific_journal-942 44 47 142 142 NUM american_scientific_journal-942 44 48 - - SYM american_scientific_journal-942 44 49 155 155 NUM american_scientific_journal-942 44 50 l l NOUN american_scientific_journal-942 44 51 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 44 52 ฬ ฬ NOUN american_scientific_journal-942 44 53 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 44 54 vy vy NOUN american_scientific_journal-942 44 55 distribution distribution NOUN american_scientific_journal-942 44 56 , , PUNCT american_scientific_journal-942 44 57 weibul weibul NOUN american_scientific_journal-942 44 58 distribution distribution NOUN american_scientific_journal-942 44 59 , , PUNCT american_scientific_journal-942 44 60 log log NOUN american_scientific_journal-942 44 61 - - PUNCT american_scientific_journal-942 44 62 gamma gamma NOUN american_scientific_journal-942 44 63 distribution distribution NOUN american_scientific_journal-942 44 64 , , PUNCT american_scientific_journal-942 44 65 etc etc X american_scientific_journal-942 44 66 . . X american_scientific_journal-942 44 67 singh singh ADJ american_scientific_journal-942 44 68 - - PUNCT american_scientific_journal-942 44 69 maddala maddala NOUN american_scientific_journal-942 44 70 ( ( PUNCT american_scientific_journal-942 44 71 burr burr NOUN american_scientific_journal-942 44 72 ) ) PUNCT american_scientific_journal-942 44 73 distribution distribution NOUN american_scientific_journal-942 44 74 is be AUX american_scientific_journal-942 44 75 a a DET american_scientific_journal-942 44 76 member member NOUN american_scientific_journal-942 44 77 of of ADP american_scientific_journal-942 44 78 a a DET american_scientific_journal-942 44 79 system system NOUN american_scientific_journal-942 44 80 of of ADP american_scientific_journal-942 44 81 continuous continuous ADJ american_scientific_journal-942 44 82 distributions distribution NOUN american_scientific_journal-942 44 83 introduced introduce VERB american_scientific_journal-942 44 84 by by ADP american_scientific_journal-942 44 85 burr burr NOUN american_scientific_journal-942 44 86 in in ADP american_scientific_journal-942 44 87 1942.the 1942.the DET american_scientific_journal-942 44 88 burr burr NOUN american_scientific_journal-942 44 89 distribution/ distribution/ NUM american_scientific_journal-942 44 90 singhmaddala singhmaddala NOUN american_scientific_journal-942 44 91 distribution distribution NOUN american_scientific_journal-942 44 92 is be AUX american_scientific_journal-942 44 93 a a DET american_scientific_journal-942 44 94 continuous continuous ADJ american_scientific_journal-942 44 95 probability probability NOUN american_scientific_journal-942 44 96 distribution distribution NOUN american_scientific_journal-942 44 97 for for ADP american_scientific_journal-942 44 98 a a DET american_scientific_journal-942 44 99 non non ADJ american_scientific_journal-942 44 100 - - ADJ american_scientific_journal-942 44 101 negative negative ADJ american_scientific_journal-942 44 102 random random ADJ american_scientific_journal-942 44 103 variable variable NOUN american_scientific_journal-942 44 104 . . PUNCT american_scientific_journal-942 45 1 it it PRON american_scientific_journal-942 45 2 is be AUX american_scientific_journal-942 45 3 most most ADV american_scientific_journal-942 45 4 commonly commonly ADV american_scientific_journal-942 45 5 used use VERB american_scientific_journal-942 45 6 to to PART american_scientific_journal-942 45 7 model model VERB american_scientific_journal-942 45 8 household household NOUN american_scientific_journal-942 45 9 income income NOUN american_scientific_journal-942 46 1 [ [ X american_scientific_journal-942 46 2 6 6 NUM american_scientific_journal-942 46 3 ] ] PUNCT american_scientific_journal-942 46 4 . . PUNCT american_scientific_journal-942 47 1 this this DET american_scientific_journal-942 47 2 study study NOUN american_scientific_journal-942 47 3 proposes propose VERB american_scientific_journal-942 47 4 an an DET american_scientific_journal-942 47 5 alternative alternative ADJ american_scientific_journal-942 47 6 bootstrap bootstrap NOUN american_scientific_journal-942 47 7 method method NOUN american_scientific_journal-942 47 8 called call VERB american_scientific_journal-942 47 9 โ€˜ ' PUNCT american_scientific_journal-942 47 10 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 47 11 โ€™ ' PUNCT american_scientific_journal-942 47 12 which which PRON american_scientific_journal-942 47 13 is be AUX american_scientific_journal-942 47 14 expected expect VERB american_scientific_journal-942 47 15 to to PART american_scientific_journal-942 47 16 perform perform VERB american_scientific_journal-942 47 17 better well ADV american_scientific_journal-942 47 18 than than ADP american_scientific_journal-942 47 19 ๐‘š๐‘œ๐‘œ๐‘›. ๐‘š๐‘œ๐‘œ๐‘›. NOUN american_scientific_journal-942 47 20 it it PRON american_scientific_journal-942 47 21 has have AUX american_scientific_journal-942 47 22 been be AUX american_scientific_journal-942 47 23 established establish VERB american_scientific_journal-942 47 24 that that SCONJ american_scientific_journal-942 47 25 ๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘œ๐‘œ๐‘› PRON american_scientific_journal-942 47 26 could could AUX american_scientific_journal-942 47 27 overcome overcome VERB american_scientific_journal-942 47 28 the the DET american_scientific_journal-942 47 29 inconsistency inconsistency NOUN american_scientific_journal-942 47 30 in in ADP american_scientific_journal-942 47 31 the the DET american_scientific_journal-942 47 32 classical classical ADJ american_scientific_journal-942 47 33 method method NOUN american_scientific_journal-942 47 34 . . PUNCT american_scientific_journal-942 48 1 the the DET american_scientific_journal-942 48 2 study study NOUN american_scientific_journal-942 48 3 would would AUX american_scientific_journal-942 48 4 involve involve VERB american_scientific_journal-942 48 5 estimating estimate VERB american_scientific_journal-942 48 6 the the DET american_scientific_journal-942 48 7 income income NOUN american_scientific_journal-942 48 8 data datum NOUN american_scientific_journal-942 48 9 by by ADP american_scientific_journal-942 48 10 obtaining obtain VERB american_scientific_journal-942 48 11 the the DET american_scientific_journal-942 48 12 chosen choose VERB american_scientific_journal-942 48 13 estimator estimator NOUN american_scientific_journal-942 48 14 in in ADP american_scientific_journal-942 48 15 each each DET american_scientific_journal-942 48 16 bootstrap bootstrap NOUN american_scientific_journal-942 48 17 method method NOUN american_scientific_journal-942 48 18 , , PUNCT american_scientific_journal-942 48 19 comparing compare VERB american_scientific_journal-942 48 20 the the DET american_scientific_journal-942 48 21 statistical statistical ADJ american_scientific_journal-942 48 22 inference inference NOUN american_scientific_journal-942 48 23 of of ADP american_scientific_journal-942 48 24 ๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 48 25 and and CCONJ american_scientific_journal-942 48 26 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 48 27 bootstrap bootstrap NOUN american_scientific_journal-942 48 28 methods method NOUN american_scientific_journal-942 48 29 . . PUNCT american_scientific_journal-942 49 1 using use VERB american_scientific_journal-942 49 2 simulation simulation NOUN american_scientific_journal-942 49 3 would would AUX american_scientific_journal-942 49 4 allow allow VERB american_scientific_journal-942 49 5 one one PRON american_scientific_journal-942 49 6 to to PART american_scientific_journal-942 49 7 assess assess VERB american_scientific_journal-942 49 8 the the DET american_scientific_journal-942 49 9 reliability reliability NOUN american_scientific_journal-942 49 10 of of ADP american_scientific_journal-942 49 11 these these DET american_scientific_journal-942 49 12 methods method NOUN american_scientific_journal-942 49 13 for for ADP american_scientific_journal-942 49 14 empirical empirical ADJ american_scientific_journal-942 49 15 work work NOUN american_scientific_journal-942 49 16 . . PUNCT american_scientific_journal-942 50 1 1.2 1.2 NUM american_scientific_journal-942 50 2 . . PUNCT american_scientific_journal-942 50 3 limitation limitation NOUN american_scientific_journal-942 50 4 of of ADP american_scientific_journal-942 50 5 the the DET american_scientific_journal-942 50 6 study study NOUN american_scientific_journal-942 50 7 the the DET american_scientific_journal-942 50 8 research research NOUN american_scientific_journal-942 50 9 was be AUX american_scientific_journal-942 50 10 carried carry VERB american_scientific_journal-942 50 11 out out ADP american_scientific_journal-942 50 12 using use VERB american_scientific_journal-942 50 13 64 64 NUM american_scientific_journal-942 50 14 - - PUNCT american_scientific_journal-942 50 15 bit bit NOUN american_scientific_journal-942 50 16 operating operate VERB american_scientific_journal-942 50 17 system system NOUN american_scientific_journal-942 50 18 laptop laptop NOUN american_scientific_journal-942 50 19 computer computer NOUN american_scientific_journal-942 50 20 . . PUNCT american_scientific_journal-942 51 1 the the DET american_scientific_journal-942 51 2 work work NOUN american_scientific_journal-942 51 3 would would AUX american_scientific_journal-942 51 4 have have AUX american_scientific_journal-942 51 5 been be AUX american_scientific_journal-942 51 6 faster fast ADJ american_scientific_journal-942 51 7 if if SCONJ american_scientific_journal-942 51 8 it it PRON american_scientific_journal-942 51 9 had have AUX american_scientific_journal-942 51 10 been be AUX american_scientific_journal-942 51 11 done do VERB american_scientific_journal-942 51 12 on on ADP american_scientific_journal-942 51 13 a a DET american_scientific_journal-942 51 14 macro macro ADJ american_scientific_journal-942 51 15 computer computer NOUN american_scientific_journal-942 51 16 . . PUNCT american_scientific_journal-942 52 1 2 2 X american_scientific_journal-942 52 2 . . X american_scientific_journal-942 52 3 methodology methodology NOUN american_scientific_journal-942 52 4 the the DET american_scientific_journal-942 52 5 research research NOUN american_scientific_journal-942 52 6 methodology methodology NOUN american_scientific_journal-942 52 7 is be AUX american_scientific_journal-942 52 8 described describe VERB american_scientific_journal-942 52 9 as as ADP american_scientific_journal-942 52 10 follows follow VERB american_scientific_journal-942 52 11 . . PUNCT american_scientific_journal-942 53 1 2.1 2.1 NUM american_scientific_journal-942 53 2 . . PUNCT american_scientific_journal-942 53 3 ๐’Ž-out ๐’Ž-out PROPN american_scientific_journal-942 53 4 ofโ€“๐’ ofโ€“๐’ PROPN american_scientific_journal-942 53 5 ( ( PUNCT american_scientific_journal-942 53 6 ๐’Ž๐’๐’๐’ ๐’Ž๐’๐’๐’ NOUN american_scientific_journal-942 53 7 ) ) PUNCT american_scientific_journal-942 53 8 bootstrap bootstrap NOUN american_scientific_journal-942 53 9 method method NOUN american_scientific_journal-942 53 10 authors author NOUN american_scientific_journal-942 53 11 in in ADP american_scientific_journal-942 53 12 [ [ X american_scientific_journal-942 53 13 3 3 NUM american_scientific_journal-942 53 14 ] ] PUNCT american_scientific_journal-942 53 15 regard regard NOUN american_scientific_journal-942 53 16 moon moon PROPN american_scientific_journal-942 53 17 bootstrap bootstrap NOUN american_scientific_journal-942 53 18 method method NOUN american_scientific_journal-942 53 19 as as ADP american_scientific_journal-942 53 20 being be AUX american_scientific_journal-942 53 21 useful useful ADJ american_scientific_journal-942 53 22 when when SCONJ american_scientific_journal-942 53 23 the the DET american_scientific_journal-942 53 24 classical classical ADJ american_scientific_journal-942 53 25 bootstrap bootstrap NOUN american_scientific_journal-942 53 26 fails fail VERB american_scientific_journal-942 53 27 or or CCONJ american_scientific_journal-942 53 28 when when SCONJ american_scientific_journal-942 53 29 it it PRON american_scientific_journal-942 53 30 is be AUX american_scientific_journal-942 53 31 difficult difficult ADJ american_scientific_journal-942 53 32 to to PART american_scientific_journal-942 53 33 check check VERB american_scientific_journal-942 53 34 its its PRON american_scientific_journal-942 53 35 consistency consistency NOUN american_scientific_journal-942 53 36 . . PUNCT american_scientific_journal-942 54 1 the the DET american_scientific_journal-942 54 2 author author NOUN american_scientific_journal-942 54 3 in in ADP american_scientific_journal-942 54 4 [ [ X american_scientific_journal-942 54 5 7 7 NUM american_scientific_journal-942 54 6 ] ] PUNCT american_scientific_journal-942 54 7 described describe VERB american_scientific_journal-942 54 8 ๐’Ž๐’๐’๐’ ๐’Ž๐’๐’๐’ NOUN american_scientific_journal-942 54 9 as as ADP american_scientific_journal-942 54 10 sampling sample VERB american_scientific_journal-942 54 11 ๐’Ž ๐’Ž PROPN american_scientific_journal-942 54 12 times time NOUN american_scientific_journal-942 54 13 without without ADP american_scientific_journal-942 54 14 replacement replacement NOUN american_scientific_journal-942 54 15 from from ADP american_scientific_journal-942 54 16 a a DET american_scientific_journal-942 54 17 sample sample NOUN american_scientific_journal-942 54 18 size size NOUN american_scientific_journal-942 54 19 ๐’ ๐’ PROPN american_scientific_journal-942 54 20 , , PUNCT american_scientific_journal-942 54 21 instead instead ADV american_scientific_journal-942 54 22 of of ADP american_scientific_journal-942 54 23 sampling sample VERB american_scientific_journal-942 54 24 ๐’ ๐’ PROPN american_scientific_journal-942 54 25 times time NOUN american_scientific_journal-942 54 26 ; ; PUNCT american_scientific_journal-942 54 27 such such ADJ american_scientific_journal-942 54 28 that that SCONJ american_scientific_journal-942 54 29 ๐’Ž ๐’Ž PROPN american_scientific_journal-942 54 30 is be AUX american_scientific_journal-942 54 31 much much ADV american_scientific_journal-942 54 32 less less ADJ american_scientific_journal-942 54 33 than than ADP american_scientific_journal-942 54 34 ๐’. ๐’. NOUN american_scientific_journal-942 54 35 usually usually ADV american_scientific_journal-942 54 36 the the DET american_scientific_journal-942 54 37 asymptotic asymptotic ADJ american_scientific_journal-942 54 38 theory theory NOUN american_scientific_journal-942 54 39 requires require VERB american_scientific_journal-942 54 40 ๐’Ž ๐’Ž PROPN american_scientific_journal-942 54 41 โ†’ โ†’ SYM american_scientific_journal-942 54 42 โˆž โˆž PROPN american_scientific_journal-942 54 43 ๐š๐ฌ ๐š๐ฌ INTJ american_scientific_journal-942 54 44 ๐’ ๐’ PROPN american_scientific_journal-942 54 45 โ†’ โ†’ SYM american_scientific_journal-942 54 46 โˆž โˆž PROPN american_scientific_journal-942 54 47 , , PUNCT american_scientific_journal-942 54 48 but but CCONJ american_scientific_journal-942 54 49 at at ADP american_scientific_journal-942 54 50 a a DET american_scientific_journal-942 54 51 slower slow ADJ american_scientific_journal-942 54 52 rate rate NOUN american_scientific_journal-942 54 53 such such ADJ american_scientific_journal-942 54 54 that that DET american_scientific_journal-942 54 55 ๐’Ž/๐’ ๐’Ž/๐’ NOUN american_scientific_journal-942 54 56 โ†’ โ†’ SYM american_scientific_journal-942 54 57 ๐ŸŽ. ๐ŸŽ. X american_scientific_journal-942 54 58 in in ADP american_scientific_journal-942 54 59 [ [ X american_scientific_journal-942 54 60 8 8 NUM american_scientific_journal-942 54 61 ] ] PUNCT american_scientific_journal-942 54 62 it it PRON american_scientific_journal-942 54 63 was be AUX american_scientific_journal-942 54 64 called call VERB american_scientific_journal-942 54 65 โ€™ ' PUNCT american_scientific_journal-942 54 66 the the DET american_scientific_journal-942 54 67 great great ADJ american_scientific_journal-942 54 68 ๐’Ž ๐’Ž PROPN american_scientific_journal-942 54 69 ๐จ๐ฎ๐ญ ๐จ๐ฎ๐ญ PROPN american_scientific_journal-942 54 70 ๐’ ๐’ PROPN american_scientific_journal-942 54 71 bootstrap bootstrap NOUN american_scientific_journal-942 54 72 with with ADP american_scientific_journal-942 54 73 ( ( PUNCT american_scientific_journal-942 54 74 ๐’Ž/ ๐’Ž/ PROPN american_scientific_journal-942 54 75 ๐’ ๐’ PROPN american_scientific_journal-942 54 76 โ†’ โ†’ SYM american_scientific_journal-942 54 77 ๐ŸŽ ๐ŸŽ NUM american_scientific_journal-942 54 78 ) ) PUNCT american_scientific_journal-942 54 79 โ€™ ' PUNCT american_scientific_journal-942 54 80 where where SCONJ american_scientific_journal-942 54 81 the the DET american_scientific_journal-942 54 82 bootstrap bootstrap NOUN american_scientific_journal-942 54 83 sample sample NOUN american_scientific_journal-942 54 84 size size NOUN american_scientific_journal-942 54 85 ๐ฆ ๐ฆ PROPN american_scientific_journal-942 54 86 is be AUX american_scientific_journal-942 54 87 much much ADV american_scientific_journal-942 54 88 smaller small ADJ american_scientific_journal-942 54 89 than than ADP american_scientific_journal-942 54 90 the the DET american_scientific_journal-942 54 91 original original ADJ american_scientific_journal-942 54 92 size size NOUN american_scientific_journal-942 54 93 . . PUNCT american_scientific_journal-942 55 1 mathematically mathematically ADV american_scientific_journal-942 55 2 , , PUNCT american_scientific_journal-942 55 3 the the DET american_scientific_journal-942 55 4 requirement requirement NOUN american_scientific_journal-942 55 5 is be AUX american_scientific_journal-942 55 6 ๐’Ž ๐’Ž PROPN american_scientific_journal-942 55 7 โ†’ โ†’ SYM american_scientific_journal-942 55 8 โˆž โˆž PROPN american_scientific_journal-942 55 9 and and CCONJ american_scientific_journal-942 55 10 ๐’Ž/๐’ ๐’Ž/๐’ PROPN american_scientific_journal-942 55 11 โ†’ โ†’ SYM american_scientific_journal-942 55 12 ๐ŸŽ,๐’‚๐’” ๐ŸŽ,๐’‚๐’” NOUN american_scientific_journal-942 55 13 ๐’ ๐’ PROPN american_scientific_journal-942 55 14 โ†’ โ†’ PUNCT american_scientific_journal-942 55 15 โˆž. โˆž. PROPN american_scientific_journal-942 55 16 in in ADP american_scientific_journal-942 55 17 theory theory NOUN american_scientific_journal-942 55 18 , , PUNCT american_scientific_journal-942 55 19 the the DET american_scientific_journal-942 55 20 problem problem NOUN american_scientific_journal-942 55 21 is be AUX american_scientific_journal-942 55 22 fixed fix VERB american_scientific_journal-942 55 23 , , PUNCT american_scientific_journal-942 55 24 but but CCONJ american_scientific_journal-942 55 25 in in ADP american_scientific_journal-942 55 26 practice practice NOUN american_scientific_journal-942 55 27 , , PUNCT american_scientific_journal-942 55 28 some some DET american_scientific_journal-942 55 29 troubles trouble NOUN american_scientific_journal-942 55 30 are be AUX american_scientific_journal-942 55 31 involved involve VERB american_scientific_journal-942 55 32 such such ADJ american_scientific_journal-942 55 33 as as ADP american_scientific_journal-942 55 34 how how SCONJ american_scientific_journal-942 55 35 to to PART american_scientific_journal-942 55 36 choose choose VERB american_scientific_journal-942 55 37 ๐’Ž. ๐’Ž. NOUN american_scientific_journal-942 55 38 an an DET american_scientific_journal-942 55 39 obvious obvious ADJ american_scientific_journal-942 55 40 suggestion suggestion NOUN american_scientific_journal-942 55 41 is be AUX american_scientific_journal-942 55 42 to to PART american_scientific_journal-942 55 43 settle settle VERB american_scientific_journal-942 55 44 for for ADP american_scientific_journal-942 55 45 a a DET american_scientific_journal-942 55 46 fraction fraction NOUN american_scientific_journal-942 55 47 of of ADP american_scientific_journal-942 55 48 , , PUNCT american_scientific_journal-942 55 49 say say VERB american_scientific_journal-942 55 50 20 20 NUM american_scientific_journal-942 55 51 % % NOUN american_scientific_journal-942 55 52 . . PUNCT american_scientific_journal-942 56 1 it it PRON american_scientific_journal-942 56 2 was be AUX american_scientific_journal-942 56 3 pointed point VERB american_scientific_journal-942 56 4 out out ADP american_scientific_journal-942 56 5 that that SCONJ american_scientific_journal-942 56 6 in in ADP american_scientific_journal-942 56 7 good good ADJ american_scientific_journal-942 56 8 situations situation NOUN american_scientific_journal-942 56 9 , , PUNCT american_scientific_journal-942 56 10 where where SCONJ american_scientific_journal-942 56 11 the the DET american_scientific_journal-942 56 12 regular regular ADJ american_scientific_journal-942 56 13 bootstrap bootstrap NOUN american_scientific_journal-942 56 14 performs perform VERB american_scientific_journal-942 56 15 , , PUNCT american_scientific_journal-942 56 16 such such DET american_scientific_journal-942 56 17 a a DET american_scientific_journal-942 56 18 ๐’Ž ๐’Ž PROPN american_scientific_journal-942 56 19 is be AUX american_scientific_journal-942 56 20 not not PART american_scientific_journal-942 56 21 advisable advisable ADJ american_scientific_journal-942 56 22 , , PUNCT american_scientific_journal-942 56 23 it it PRON american_scientific_journal-942 56 24 could could AUX american_scientific_journal-942 56 25 result result VERB american_scientific_journal-942 56 26 in in ADP american_scientific_journal-942 56 27 loss loss NOUN american_scientific_journal-942 56 28 of of ADP american_scientific_journal-942 56 29 efficiency efficiency NOUN american_scientific_journal-942 56 30 . . PUNCT american_scientific_journal-942 57 1 authors author NOUN american_scientific_journal-942 57 2 in in ADP american_scientific_journal-942 57 3 [ [ X american_scientific_journal-942 57 4 9 9 NUM american_scientific_journal-942 57 5 ] ] PUNCT american_scientific_journal-942 57 6 proposed propose VERB american_scientific_journal-942 57 7 the the DET american_scientific_journal-942 57 8 ๐ฆ-out ๐ฆ-out PROPN american_scientific_journal-942 57 9 - - PUNCT american_scientific_journal-942 57 10 of-๐ง of-๐ง PROPN american_scientific_journal-942 57 11 bootstrap bootstrap NOUN american_scientific_journal-942 57 12 with with ADP american_scientific_journal-942 57 13 or or CCONJ american_scientific_journal-942 57 14 without without ADP american_scientific_journal-942 57 15 replacement replacement NOUN american_scientific_journal-942 57 16 , , PUNCT american_scientific_journal-942 57 17 where where SCONJ american_scientific_journal-942 57 18 m m VERB american_scientific_journal-942 57 19 โ†’ โ†’ SYM american_scientific_journal-942 57 20 โˆž โˆž NUM american_scientific_journal-942 57 21 and and CCONJ american_scientific_journal-942 57 22 ๐ฆ ๐ฆ PROPN american_scientific_journal-942 57 23 ๐งโ„ ๐งโ„ PROPN american_scientific_journal-942 57 24 โ†’ โ†’ SYM american_scientific_journal-942 57 25 0 0 NUM american_scientific_journal-942 57 26 as as ADP american_scientific_journal-942 57 27 a a DET american_scientific_journal-942 57 28 way way NOUN american_scientific_journal-942 57 29 of of ADP american_scientific_journal-942 57 30 ensuring ensure VERB american_scientific_journal-942 57 31 consistency consistency NOUN american_scientific_journal-942 57 32 when when SCONJ american_scientific_journal-942 57 33 the the DET american_scientific_journal-942 57 34 classical classical ADJ american_scientific_journal-942 57 35 bootstrap bootstrap NOUN american_scientific_journal-942 57 36 is be AUX american_scientific_journal-942 57 37 not not PART american_scientific_journal-942 57 38 consistent consistent ADJ american_scientific_journal-942 57 39 . . PUNCT american_scientific_journal-942 58 1 authors author NOUN american_scientific_journal-942 58 2 in in ADP american_scientific_journal-942 58 3 [ [ X american_scientific_journal-942 58 4 10 10 NUM american_scientific_journal-942 58 5 ] ] PUNCT american_scientific_journal-942 58 6 explored explore VERB american_scientific_journal-942 58 7 ๐ฆ-out ๐ฆ-out PROPN american_scientific_journal-942 58 8 - - PUNCT american_scientific_journal-942 58 9 of-๐ง of-๐ง PROPN american_scientific_journal-942 58 10 bootstrapping bootstrappe VERB american_scientific_journal-942 58 11 from from ADP american_scientific_journal-942 58 12 the the DET american_scientific_journal-942 58 13 empirical empirical ADJ american_scientific_journal-942 58 14 distribution distribution NOUN american_scientific_journal-942 58 15 function function NOUN american_scientific_journal-942 58 16 in in ADP american_scientific_journal-942 58 17 nonstandard nonstandard ADJ american_scientific_journal-942 58 18 problems problem NOUN american_scientific_journal-942 58 19 and and CCONJ american_scientific_journal-942 58 20 proved prove VERB american_scientific_journal-942 58 21 the the DET american_scientific_journal-942 58 22 consistency consistency NOUN american_scientific_journal-942 58 23 of of ADP american_scientific_journal-942 58 24 the the DET american_scientific_journal-942 58 25 method method NOUN american_scientific_journal-942 58 26 . . PUNCT american_scientific_journal-942 59 1 2.2 2.2 NUM american_scientific_journal-942 59 2 . . PUNCT american_scientific_journal-942 59 3 modified modify VERB american_scientific_journal-942 59 4 ๐’Ž-out ๐’Ž-out NOUN american_scientific_journal-942 59 5 - - PUNCT american_scientific_journal-942 59 6 of-๐’ of-๐’ PROPN american_scientific_journal-942 59 7 ( ( PUNCT american_scientific_journal-942 59 8 ๐’Ž๐’Ž๐’๐’๐’ ๐’Ž๐’Ž๐’๐’๐’ PROPN american_scientific_journal-942 59 9 ) ) PUNCT american_scientific_journal-942 59 10 bootstrap bootstrap NOUN american_scientific_journal-942 59 11 method method NOUN american_scientific_journal-942 59 12 the the DET american_scientific_journal-942 59 13 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 59 14 bootstrap bootstrap NOUN american_scientific_journal-942 59 15 method method NOUN american_scientific_journal-942 59 16 is be AUX american_scientific_journal-942 59 17 a a DET american_scientific_journal-942 59 18 modification modification NOUN american_scientific_journal-942 59 19 of of ADP american_scientific_journal-942 59 20 ๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘œ๐‘œ๐‘› NOUN american_scientific_journal-942 59 21 , , PUNCT american_scientific_journal-942 59 22 it it PRON american_scientific_journal-942 59 23 involves involve VERB american_scientific_journal-942 59 24 decomposition decomposition NOUN american_scientific_journal-942 59 25 of of ADP american_scientific_journal-942 59 26 the the DET american_scientific_journal-942 59 27 empirical empirical ADJ american_scientific_journal-942 59 28 144 144 NUM american_scientific_journal-942 59 29 american american ADJ american_scientific_journal-942 59 30 scientific scientific ADJ american_scientific_journal-942 59 31 research research NOUN american_scientific_journal-942 59 32 journal journal NOUN american_scientific_journal-942 59 33 for for ADP american_scientific_journal-942 59 34 engineering engineering NOUN american_scientific_journal-942 59 35 , , PUNCT american_scientific_journal-942 59 36 technology technology NOUN american_scientific_journal-942 59 37 , , PUNCT american_scientific_journal-942 59 38 and and CCONJ american_scientific_journal-942 59 39 sciences science NOUN american_scientific_journal-942 59 40 ( ( PUNCT american_scientific_journal-942 59 41 asrjets asrjet NOUN american_scientific_journal-942 59 42 ) ) PUNCT american_scientific_journal-942 59 43 ( ( PUNCT american_scientific_journal-942 59 44 2015 2015 NUM american_scientific_journal-942 59 45 ) ) PUNCT american_scientific_journal-942 59 46 volume volume NOUN american_scientific_journal-942 59 47 14 14 NUM american_scientific_journal-942 59 48 , , PUNCT american_scientific_journal-942 59 49 no no DET american_scientific_journal-942 59 50 1 1 NUM american_scientific_journal-942 59 51 , , PUNCT american_scientific_journal-942 59 52 pp pp ADV american_scientific_journal-942 59 53 142 142 NUM american_scientific_journal-942 59 54 - - SYM american_scientific_journal-942 59 55 155 155 NUM american_scientific_journal-942 59 56 distribution distribution NOUN american_scientific_journal-942 59 57 ( ( PUNCT american_scientific_journal-942 59 58 ๐น ๐น PROPN american_scientific_journal-942 59 59 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 59 60 ๐‘› ๐‘› NOUN american_scientific_journal-942 59 61 ) ) PUNCT american_scientific_journal-942 59 62 and and CCONJ american_scientific_journal-942 59 63 sampling sample VERB american_scientific_journal-942 59 64 only only ADV american_scientific_journal-942 59 65 nโƒ› nโƒ› PROPN american_scientific_journal-942 59 66 times time NOUN american_scientific_journal-942 59 67 with with ADP american_scientific_journal-942 59 68 replacement replacement NOUN american_scientific_journal-942 59 69 from from ADP american_scientific_journal-942 59 70 a a DET american_scientific_journal-942 59 71 sample sample NOUN american_scientific_journal-942 59 72 size size NOUN american_scientific_journal-942 59 73 n n CCONJ american_scientific_journal-942 59 74 , , PUNCT american_scientific_journal-942 59 75 such such ADJ american_scientific_journal-942 59 76 that that SCONJ american_scientific_journal-942 59 77 nโƒ› nโƒ› PROPN american_scientific_journal-942 59 78 โ†’ โ†’ SYM american_scientific_journal-942 59 79 โˆž โˆž PROPN american_scientific_journal-942 59 80 as as ADP american_scientific_journal-942 59 81 n n PROPN american_scientific_journal-942 59 82 โ†’ โ†’ SYM american_scientific_journal-942 59 83 โˆž โˆž PROPN american_scientific_journal-942 59 84 , , PUNCT american_scientific_journal-942 59 85 and and CCONJ american_scientific_journal-942 59 86 nโƒ›/n nโƒ›/n NOUN american_scientific_journal-942 59 87 โ†’ โ†’ SYM american_scientific_journal-942 59 88 0 0 X american_scientific_journal-942 59 89 . . PUNCT american_scientific_journal-942 60 1 the the DET american_scientific_journal-942 60 2 method method NOUN american_scientific_journal-942 60 3 would would AUX american_scientific_journal-942 60 4 resample resample VERB american_scientific_journal-942 60 5 from from ADP american_scientific_journal-942 60 6 ๐ป๐‘› ๐ป๐‘› ADJ american_scientific_journal-942 60 7 distribution distribution NOUN american_scientific_journal-942 60 8 which which PRON american_scientific_journal-942 60 9 is be AUX american_scientific_journal-942 60 10 a a DET american_scientific_journal-942 60 11 decomposed decomposed ADJ american_scientific_journal-942 60 12 version version NOUN american_scientific_journal-942 60 13 of of ADP american_scientific_journal-942 60 14 ๐น ๐น PROPN american_scientific_journal-942 60 15 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 60 16 ๐‘›. ๐‘›. NOUN american_scientific_journal-942 60 17 the the DET american_scientific_journal-942 60 18 procedure procedure NOUN american_scientific_journal-942 60 19 provides provide VERB american_scientific_journal-942 60 20 and and CCONJ american_scientific_journal-942 60 21 estimates estimate VERB american_scientific_journal-942 60 22 different different ADJ american_scientific_journal-942 60 23 measures measure NOUN american_scientific_journal-942 60 24 of of ADP american_scientific_journal-942 60 25 statistical statistical ADJ american_scientific_journal-942 60 26 precision precision NOUN american_scientific_journal-942 60 27 for for ADP american_scientific_journal-942 60 28 an an DET american_scientific_journal-942 60 29 estimator estimator NOUN american_scientific_journal-942 60 30 ๐œƒ ๐œƒ PROPN american_scientific_journal-942 60 31 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 60 32 . . PUNCT american_scientific_journal-942 61 1 the the DET american_scientific_journal-942 61 2 method method NOUN american_scientific_journal-942 61 3 satisfies satisfy VERB american_scientific_journal-942 61 4 the the DET american_scientific_journal-942 61 5 conditions condition NOUN american_scientific_journal-942 61 6 in in ADP american_scientific_journal-942 61 7 [ [ X american_scientific_journal-942 61 8 11 11 NUM american_scientific_journal-942 61 9 ] ] PUNCT american_scientific_journal-942 61 10 . . PUNCT american_scientific_journal-942 62 1 2.3 2.3 NUM american_scientific_journal-942 62 2 . . PUNCT american_scientific_journal-942 62 3 validity validity NOUN american_scientific_journal-942 62 4 of of ADP american_scientific_journal-942 62 5 ( ( PUNCT american_scientific_journal-942 62 6 ๐’Ž๐’Ž๐’๐’๐’ ๐’Ž๐’Ž๐’๐’๐’ PROPN american_scientific_journal-942 62 7 ) ) PUNCT american_scientific_journal-942 62 8 bootstrap bootstrap NOUN american_scientific_journal-942 62 9 method method NOUN american_scientific_journal-942 62 10 โ€ข โ€ข NOUN american_scientific_journal-942 62 11 samples sample NOUN american_scientific_journal-942 62 12 must must AUX american_scientific_journal-942 62 13 be be AUX american_scientific_journal-942 62 14 independently independently ADV american_scientific_journal-942 62 15 and and CCONJ american_scientific_journal-942 62 16 identically identically ADV american_scientific_journal-942 62 17 distributed distribute VERB american_scientific_journal-942 62 18 ; ; PUNCT american_scientific_journal-942 62 19 [ [ X american_scientific_journal-942 62 20 1 1 X american_scientific_journal-942 62 21 ] ] PUNCT american_scientific_journal-942 62 22 reported report VERB american_scientific_journal-942 62 23 that that SCONJ american_scientific_journal-942 62 24 ๐‘–๐‘–๐‘‘ ๐‘–๐‘–๐‘‘ NOUN american_scientific_journal-942 62 25 works work NOUN american_scientific_journal-942 62 26 in in ADP american_scientific_journal-942 62 27 large large ADJ american_scientific_journal-942 62 28 sample sample NOUN american_scientific_journal-942 62 29 . . PUNCT american_scientific_journal-942 63 1 โ€ข โ€ข NOUN american_scientific_journal-942 63 2 for for ADP american_scientific_journal-942 63 3 a a DET american_scientific_journal-942 63 4 bootstrap bootstrap NOUN american_scientific_journal-942 63 5 approach approach NOUN american_scientific_journal-942 63 6 to to ADP american_scientific_journal-942 63 7 work work NOUN american_scientific_journal-942 63 8 well well ADV american_scientific_journal-942 63 9 , , PUNCT american_scientific_journal-942 63 10 it it PRON american_scientific_journal-942 63 11 was be AUX american_scientific_journal-942 63 12 suggested suggest VERB american_scientific_journal-942 63 13 in in ADP american_scientific_journal-942 63 14 [ [ X american_scientific_journal-942 63 15 12 12 NUM american_scientific_journal-942 63 16 ] ] PUNCT american_scientific_journal-942 63 17 that that SCONJ american_scientific_journal-942 63 18 the the DET american_scientific_journal-942 63 19 distribution distribution NOUN american_scientific_journal-942 63 20 function function NOUN american_scientific_journal-942 63 21 should should AUX american_scientific_journal-942 63 22 have have VERB american_scientific_journal-942 63 23 a a DET american_scientific_journal-942 63 24 differentiable differentiable ADJ american_scientific_journal-942 63 25 density density NOUN american_scientific_journal-942 63 26 . . PUNCT american_scientific_journal-942 64 1 this this DET american_scientific_journal-942 64 2 study study NOUN american_scientific_journal-942 64 3 makes make VERB american_scientific_journal-942 64 4 use use NOUN american_scientific_journal-942 64 5 of of ADP american_scientific_journal-942 64 6 simulated simulate VERB american_scientific_journal-942 64 7 data data NOUN american_scientific_journal-942 64 8 sets set NOUN american_scientific_journal-942 64 9 drawn draw VERB american_scientific_journal-942 64 10 from from ADP american_scientific_journal-942 64 11 singh singh ADJ american_scientific_journal-942 64 12 - - PUNCT american_scientific_journal-942 64 13 maddala maddala NOUN american_scientific_journal-942 64 14 distribution distribution NOUN american_scientific_journal-942 64 15 which which PRON american_scientific_journal-942 64 16 [ [ X american_scientific_journal-942 64 17 3 3 X american_scientific_journal-942 64 18 ] ] PUNCT american_scientific_journal-942 64 19 said say VERB american_scientific_journal-942 64 20 can can AUX american_scientific_journal-942 64 21 quite quite ADV american_scientific_journal-942 64 22 successfully successfully ADV american_scientific_journal-942 64 23 mimic mimic VERB american_scientific_journal-942 64 24 observed observed ADJ american_scientific_journal-942 64 25 income income NOUN american_scientific_journal-942 64 26 distributions distribution NOUN american_scientific_journal-942 64 27 in in ADP american_scientific_journal-942 64 28 various various ADJ american_scientific_journal-942 64 29 countries country NOUN american_scientific_journal-942 64 30 . . PUNCT american_scientific_journal-942 65 1 it it PRON american_scientific_journal-942 65 2 can can AUX american_scientific_journal-942 65 3 be be AUX american_scientific_journal-942 65 4 shown show VERB american_scientific_journal-942 65 5 that that SCONJ american_scientific_journal-942 65 6 the the DET american_scientific_journal-942 65 7 distribution distribution NOUN american_scientific_journal-942 65 8 has have VERB american_scientific_journal-942 65 9 a a DET american_scientific_journal-942 65 10 differentiable differentiable ADJ american_scientific_journal-942 65 11 density density NOUN american_scientific_journal-942 65 12 . . PUNCT american_scientific_journal-942 66 1 the the DET american_scientific_journal-942 66 2 cumulative cumulative ADJ american_scientific_journal-942 66 3 density density NOUN american_scientific_journal-942 66 4 function function NOUN american_scientific_journal-942 66 5 ( ( PUNCT american_scientific_journal-942 66 6 cdf cdf PROPN american_scientific_journal-942 66 7 ) ) PUNCT american_scientific_journal-942 66 8 of of ADP american_scientific_journal-942 66 9 the the DET american_scientific_journal-942 66 10 distribution distribution NOUN american_scientific_journal-942 66 11 can can AUX american_scientific_journal-942 66 12 be be AUX american_scientific_journal-942 66 13 written write VERB american_scientific_journal-942 66 14 as as ADP american_scientific_journal-942 66 15 : : PUNCT american_scientific_journal-942 66 16 ๐น(๐‘ฅ ๐น(๐‘ฅ NUM american_scientific_journal-942 66 17 ) ) PUNCT american_scientific_journal-942 66 18 = = SYM american_scientific_journal-942 67 1 1 1 NUM american_scientific_journal-942 67 2 โˆ’ โˆ’ PROPN american_scientific_journal-942 67 3 1 1 NUM american_scientific_journal-942 67 4 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 67 5 1+๐‘Ž๐‘ฅ๐‘ 1+๐‘Ž๐‘ฅ๐‘ NUM american_scientific_journal-942 67 6 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 67 7 ๐‘ ๐‘ PROPN american_scientific_journal-942 67 8 { { PUNCT american_scientific_journal-942 67 9 1 1 NUM american_scientific_journal-942 67 10 } } PUNCT american_scientific_journal-942 67 11 where where SCONJ american_scientific_journal-942 67 12 a a DET american_scientific_journal-942 67 13 = = NOUN american_scientific_journal-942 67 14 scale scale NOUN american_scientific_journal-942 67 15 parameter parameter NOUN american_scientific_journal-942 67 16 ; ; PUNCT american_scientific_journal-942 67 17 b b X american_scientific_journal-942 67 18 = = SYM american_scientific_journal-942 67 19 shape shape NOUN american_scientific_journal-942 67 20 parameter parameter NOUN american_scientific_journal-942 67 21 ; ; PUNCT american_scientific_journal-942 67 22 c c X american_scientific_journal-942 67 23 = = SYM american_scientific_journal-942 67 24 shape shape NOUN american_scientific_journal-942 67 25 parameter parameter NOUN american_scientific_journal-942 67 26 [ [ X american_scientific_journal-942 67 27 3 3 NUM american_scientific_journal-942 67 28 ] ] PUNCT american_scientific_journal-942 67 29 . . PUNCT american_scientific_journal-942 68 1 and and CCONJ american_scientific_journal-942 68 2 the the DET american_scientific_journal-942 68 3 probability probability NOUN american_scientific_journal-942 68 4 density density NOUN american_scientific_journal-942 68 5 function function NOUN american_scientific_journal-942 68 6 ( ( PUNCT american_scientific_journal-942 68 7 pdf pdf NOUN american_scientific_journal-942 68 8 ) ) PUNCT american_scientific_journal-942 68 9 as as ADP american_scientific_journal-942 68 10 : : PUNCT american_scientific_journal-942 68 11 ๐‘“(๐‘ฅ ๐‘“(๐‘ฅ NOUN american_scientific_journal-942 68 12 ) ) PUNCT american_scientific_journal-942 68 13 = = SYM american_scientific_journal-942 68 14 ๐‘Ž๐‘๐‘ ๐‘Ž๐‘๐‘ NOUN american_scientific_journal-942 68 15 ๐‘ฅ๐‘โˆ’1 ๐‘ฅ๐‘โˆ’1 VERB american_scientific_journal-942 68 16 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 68 17 1+๐‘Ž๐‘ฅ๐‘ 1+๐‘Ž๐‘ฅ๐‘ NUM american_scientific_journal-942 68 18 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 68 19 ๐‘+1 ๐‘+1 PRON american_scientific_journal-942 68 20 { { PUNCT american_scientific_journal-942 68 21 2 2 NUM american_scientific_journal-942 68 22 } } PUNCT american_scientific_journal-942 68 23 โ€ข โ€ข NOUN american_scientific_journal-942 68 24 the the DET american_scientific_journal-942 68 25 validity validity NOUN american_scientific_journal-942 68 26 of of ADP american_scientific_journal-942 68 27 bootstrap bootstrap NOUN american_scientific_journal-942 68 28 also also ADV american_scientific_journal-942 68 29 requires require VERB american_scientific_journal-942 68 30 that that SCONJ american_scientific_journal-942 68 31 the the DET american_scientific_journal-942 68 32 estimator estimator NOUN american_scientific_journal-942 68 33 ( ( PUNCT american_scientific_journal-942 68 34 a a DET american_scientific_journal-942 68 35 functional functional ADJ american_scientific_journal-942 68 36 form form NOUN american_scientific_journal-942 68 37 of of ADP american_scientific_journal-942 68 38 the the DET american_scientific_journal-942 68 39 empirical empirical ADJ american_scientific_journal-942 68 40 distribution distribution NOUN american_scientific_journal-942 68 41 function function NOUN american_scientific_journal-942 68 42 ) ) PUNCT american_scientific_journal-942 68 43 converges converge VERB american_scientific_journal-942 68 44 to to ADP american_scientific_journal-942 68 45 the the DET american_scientific_journal-942 68 46 true true ADJ american_scientific_journal-942 68 47 parameter parameter NOUN american_scientific_journal-942 68 48 value value NOUN american_scientific_journal-942 68 49 ( ( PUNCT american_scientific_journal-942 68 50 the the DET american_scientific_journal-942 68 51 functional functional ADJ american_scientific_journal-942 68 52 form form NOUN american_scientific_journal-942 68 53 for for ADP american_scientific_journal-942 68 54 the the DET american_scientific_journal-942 68 55 true true ADJ american_scientific_journal-942 68 56 population population NOUN american_scientific_journal-942 68 57 distribution distribution NOUN american_scientific_journal-942 68 58 ) ) PUNCT american_scientific_journal-942 68 59 . . PUNCT american_scientific_journal-942 69 1 the the DET american_scientific_journal-942 69 2 commonly commonly ADV american_scientific_journal-942 69 3 used use VERB american_scientific_journal-942 69 4 parameters parameter NOUN american_scientific_journal-942 69 5 of of ADP american_scientific_journal-942 69 6 distribution distribution NOUN american_scientific_journal-942 69 7 function function NOUN american_scientific_journal-942 69 8 can can AUX american_scientific_journal-942 69 9 be be AUX american_scientific_journal-942 69 10 expressed express VERB american_scientific_journal-942 69 11 as as ADP american_scientific_journal-942 69 12 functional functional ADJ american_scientific_journal-942 69 13 form form NOUN american_scientific_journal-942 69 14 of of ADP american_scientific_journal-942 69 15 the the DET american_scientific_journal-942 69 16 distribution distribution NOUN american_scientific_journal-942 69 17 , , PUNCT american_scientific_journal-942 69 18 which which PRON american_scientific_journal-942 69 19 includes include VERB american_scientific_journal-942 69 20 the the DET american_scientific_journal-942 69 21 mean mean NOUN american_scientific_journal-942 69 22 , , PUNCT american_scientific_journal-942 69 23 the the DET american_scientific_journal-942 69 24 variance variance NOUN american_scientific_journal-942 69 25 etc etc X american_scientific_journal-942 69 26 . . PUNCT american_scientific_journal-942 69 27 sample sample NOUN american_scientific_journal-942 69 28 estimates estimate NOUN american_scientific_journal-942 69 29 such such ADJ american_scientific_journal-942 69 30 as as ADP american_scientific_journal-942 69 31 the the DET american_scientific_journal-942 69 32 sample sample NOUN american_scientific_journal-942 69 33 mean mean VERB american_scientific_journal-942 69 34 can can AUX american_scientific_journal-942 69 35 be be AUX american_scientific_journal-942 69 36 expressed express VERB american_scientific_journal-942 69 37 as as ADP american_scientific_journal-942 69 38 the the DET american_scientific_journal-942 69 39 same same ADJ american_scientific_journal-942 69 40 functional functional ADJ american_scientific_journal-942 69 41 form form NOUN american_scientific_journal-942 69 42 applied apply VERB american_scientific_journal-942 69 43 to to ADP american_scientific_journal-942 69 44 the the DET american_scientific_journal-942 69 45 empirical empirical ADJ american_scientific_journal-942 69 46 distribution distribution NOUN american_scientific_journal-942 69 47 . . PUNCT american_scientific_journal-942 70 1 this this PRON american_scientific_journal-942 70 2 provides provide VERB american_scientific_journal-942 70 3 guideline guideline NOUN american_scientific_journal-942 70 4 for for ADP american_scientific_journal-942 70 5 this this DET american_scientific_journal-942 70 6 method method NOUN american_scientific_journal-942 70 7 in in ADP american_scientific_journal-942 70 8 choosing choose VERB american_scientific_journal-942 70 9 the the DET american_scientific_journal-942 70 10 mean mean NOUN american_scientific_journal-942 70 11 as as ADP american_scientific_journal-942 70 12 the the DET american_scientific_journal-942 70 13 functional functional ADJ american_scientific_journal-942 70 14 form form NOUN american_scientific_journal-942 70 15 of of ADP american_scientific_journal-942 70 16 the the DET american_scientific_journal-942 70 17 distribution distribution NOUN american_scientific_journal-942 70 18 . . PUNCT american_scientific_journal-942 71 1 a a DET american_scientific_journal-942 71 2 functional functional ADJ american_scientific_journal-942 71 3 form form NOUN american_scientific_journal-942 71 4 is be AUX american_scientific_journal-942 71 5 simply simply ADV american_scientific_journal-942 71 6 a a DET american_scientific_journal-942 71 7 mapping mapping NOUN american_scientific_journal-942 71 8 that that PRON american_scientific_journal-942 71 9 takes take VERB american_scientific_journal-942 71 10 a a DET american_scientific_journal-942 71 11 function function NOUN american_scientific_journal-942 71 12 f f NOUN american_scientific_journal-942 71 13 into into ADP american_scientific_journal-942 71 14 a a DET american_scientific_journal-942 71 15 real real ADJ american_scientific_journal-942 71 16 number number NOUN american_scientific_journal-942 71 17 , , PUNCT american_scientific_journal-942 71 18 examples example NOUN american_scientific_journal-942 71 19 of of ADP american_scientific_journal-942 71 20 such such ADJ american_scientific_journal-942 71 21 are be AUX american_scientific_journal-942 71 22 the the DET american_scientific_journal-942 71 23 mean mean NOUN american_scientific_journal-942 71 24 and and CCONJ american_scientific_journal-942 71 25 variance variance NOUN american_scientific_journal-942 71 26 of of ADP american_scientific_journal-942 71 27 a a DET american_scientific_journal-942 71 28 distribution distribution NOUN american_scientific_journal-942 71 29 [ [ X american_scientific_journal-942 71 30 3][13 3][13 NOUN american_scientific_journal-942 71 31 ] ] PUNCT american_scientific_journal-942 71 32 . . PUNCT american_scientific_journal-942 72 1 assuming assume VERB american_scientific_journal-942 72 2 mean mean NOUN american_scientific_journal-942 72 3 is be AUX american_scientific_journal-942 72 4 used use VERB american_scientific_journal-942 72 5 as as ADP american_scientific_journal-942 72 6 the the DET american_scientific_journal-942 72 7 functional functional ADJ american_scientific_journal-942 72 8 form form NOUN american_scientific_journal-942 72 9 in in ADP american_scientific_journal-942 72 10 this this DET american_scientific_journal-942 72 11 study study NOUN american_scientific_journal-942 72 12 , , PUNCT american_scientific_journal-942 72 13 let let VERB american_scientific_journal-942 73 1 ๐œ‡ ๐œ‡ PART american_scientific_journal-942 73 2 be be AUX american_scientific_journal-942 73 3 the the DET american_scientific_journal-942 73 4 mean mean NOUN american_scientific_journal-942 73 5 for for ADP american_scientific_journal-942 73 6 a a DET american_scientific_journal-942 73 7 distribution distribution NOUN american_scientific_journal-942 73 8 function function NOUN american_scientific_journal-942 73 9 ๐น ๐น PROPN american_scientific_journal-942 73 10 , , PUNCT american_scientific_journal-942 73 11 then then ADV american_scientific_journal-942 73 12 ๐œ‡ ๐œ‡ ADP american_scientific_journal-942 73 13 = = PROPN american_scientific_journal-942 73 14 โˆซ โˆซ PROPN american_scientific_journal-942 73 15 ๐‘ฅ๐‘‘๐น(๐‘ฅ ๐‘ฅ๐‘‘๐น(๐‘ฅ PROPN american_scientific_journal-942 73 16 ) ) PUNCT american_scientific_journal-942 73 17 . . PUNCT american_scientific_journal-942 74 1 it it PRON american_scientific_journal-942 74 2 can can AUX american_scientific_journal-942 74 3 be be AUX american_scientific_journal-942 74 4 shown show VERB american_scientific_journal-942 74 5 that that SCONJ american_scientific_journal-942 74 6 the the DET american_scientific_journal-942 74 7 functitonal functitonal ADJ american_scientific_journal-942 74 8 form form NOUN american_scientific_journal-942 74 9 of of ADP american_scientific_journal-942 74 10 the the DET american_scientific_journal-942 74 11 singh singh ADJ american_scientific_journal-942 74 12 - - PUNCT american_scientific_journal-942 74 13 maddala maddala NOUN american_scientific_journal-942 74 14 distribution distribution NOUN american_scientific_journal-942 74 15 exists exist VERB american_scientific_journal-942 74 16 : : PUNCT american_scientific_journal-942 74 17 ๐ธ(๐‘ฅ ๐ธ(๐‘ฅ X american_scientific_journal-942 74 18 ) ) PUNCT american_scientific_journal-942 74 19 < < X american_scientific_journal-942 74 20 โˆž โˆž PROPN american_scientific_journal-942 74 21 ; ; PUNCT american_scientific_journal-942 74 22 ๐ธ(๐‘ฅ ๐ธ(๐‘ฅ X american_scientific_journal-942 74 23 ) ) PUNCT american_scientific_journal-942 75 1 = = SYM american_scientific_journal-942 75 2 โˆซ โˆซ PROPN american_scientific_journal-942 76 1 ๐‘ฅ ๐‘ฅ X american_scientific_journal-942 76 2 โˆ™ โˆ™ PROPN american_scientific_journal-942 76 3 ๐‘๐‘‘๐‘“ ๐‘๐‘‘๐‘“ NOUN american_scientific_journal-942 76 4 ๐‘‘๐‘ฅ ๐‘‘๐‘ฅ VERB american_scientific_journal-942 76 5 ๐œ‡ ๐œ‡ ADP american_scientific_journal-942 76 6 = = X american_scientific_journal-942 76 7 ๐‘๐‘Ž ๐‘๐‘Ž PROPN american_scientific_journal-942 76 8 1 1 NUM american_scientific_journal-942 76 9 ๐‘ฮณ ๐‘ฮณ NOUN american_scientific_journal-942 76 10 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 76 11 ๐‘โˆ’1 ๐‘โˆ’1 PROPN american_scientific_journal-942 76 12 + + NOUN american_scientific_journal-942 76 13 1 1 NUM american_scientific_journal-942 76 14 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 76 15 ฮณ(๐‘โˆ’๐‘โˆ’1 ฮณ(๐‘โˆ’๐‘โˆ’1 NUM american_scientific_journal-942 76 16 ) ) PUNCT american_scientific_journal-942 76 17 ฮณ(๐‘+1 ฮณ(๐‘+1 NOUN american_scientific_journal-942 76 18 ) ) PUNCT american_scientific_journal-942 77 1 [ [ X american_scientific_journal-942 77 2 3 3 NUM american_scientific_journal-942 77 3 ] ] SYM american_scientific_journal-942 77 4 โ€ข โ€ข NOUN american_scientific_journal-942 77 5 it it PRON american_scientific_journal-942 77 6 was be AUX american_scientific_journal-942 77 7 shown show VERB american_scientific_journal-942 77 8 in in ADP american_scientific_journal-942 77 9 [ [ X american_scientific_journal-942 77 10 11 11 NUM american_scientific_journal-942 77 11 ] ] PUNCT american_scientific_journal-942 77 12 that that SCONJ american_scientific_journal-942 77 13 bootstrap bootstrap NOUN american_scientific_journal-942 77 14 principle principle NOUN american_scientific_journal-942 77 15 works work VERB american_scientific_journal-942 77 16 for for ADP american_scientific_journal-942 77 17 sample sample NOUN american_scientific_journal-942 77 18 mean mean VERB american_scientific_journal-942 77 19 when when SCONJ american_scientific_journal-942 77 20 finite finite PROPN american_scientific_journal-942 77 21 second second ADJ american_scientific_journal-942 77 22 moments moment NOUN american_scientific_journal-942 77 23 exist exist VERB american_scientific_journal-942 77 24 . . PUNCT american_scientific_journal-942 78 1 145 145 NUM american_scientific_journal-942 78 2 american american ADJ american_scientific_journal-942 78 3 scientific scientific ADJ american_scientific_journal-942 78 4 research research NOUN american_scientific_journal-942 78 5 journal journal NOUN american_scientific_journal-942 78 6 for for ADP american_scientific_journal-942 78 7 engineering engineering NOUN american_scientific_journal-942 78 8 , , PUNCT american_scientific_journal-942 78 9 technology technology NOUN american_scientific_journal-942 78 10 , , PUNCT american_scientific_journal-942 78 11 and and CCONJ american_scientific_journal-942 78 12 sciences science NOUN american_scientific_journal-942 78 13 ( ( PUNCT american_scientific_journal-942 78 14 asrjets asrjet NOUN american_scientific_journal-942 78 15 ) ) PUNCT american_scientific_journal-942 78 16 ( ( PUNCT american_scientific_journal-942 78 17 2015 2015 NUM american_scientific_journal-942 78 18 ) ) PUNCT american_scientific_journal-942 78 19 volume volume NOUN american_scientific_journal-942 78 20 14 14 NUM american_scientific_journal-942 78 21 , , PUNCT american_scientific_journal-942 78 22 no no DET american_scientific_journal-942 78 23 1 1 NUM american_scientific_journal-942 78 24 , , PUNCT american_scientific_journal-942 78 25 pp pp ADV american_scientific_journal-942 78 26 142 142 NUM american_scientific_journal-942 78 27 - - SYM american_scientific_journal-942 78 28 155 155 NUM american_scientific_journal-942 78 29 this this PRON american_scientific_journal-942 78 30 provided provide VERB american_scientific_journal-942 78 31 a a DET american_scientific_journal-942 78 32 stronger strong ADJ american_scientific_journal-942 78 33 justification justification NOUN american_scientific_journal-942 78 34 for for ADP american_scientific_journal-942 78 35 this this DET american_scientific_journal-942 78 36 method method NOUN american_scientific_journal-942 78 37 . . PUNCT american_scientific_journal-942 79 1 the the DET american_scientific_journal-942 79 2 second second ADJ american_scientific_journal-942 79 3 moment moment NOUN american_scientific_journal-942 79 4 exists exist VERB american_scientific_journal-942 79 5 for for ADP american_scientific_journal-942 79 6 the the DET american_scientific_journal-942 79 7 singh singh ADJ american_scientific_journal-942 79 8 - - PUNCT american_scientific_journal-942 79 9 maddala maddala NOUN american_scientific_journal-942 79 10 distribution distribution NOUN american_scientific_journal-942 79 11 considered consider VERB american_scientific_journal-942 79 12 in in ADP american_scientific_journal-942 79 13 this this DET american_scientific_journal-942 79 14 study study NOUN american_scientific_journal-942 79 15 . . PUNCT american_scientific_journal-942 80 1 ๐ธ(๐‘ฅ2 ๐ธ(๐‘ฅ2 NOUN american_scientific_journal-942 80 2 ) ) PUNCT american_scientific_journal-942 81 1 < < X american_scientific_journal-942 81 2 โˆž โˆž PROPN american_scientific_journal-942 81 3 ; ; PUNCT american_scientific_journal-942 81 4 ๐ธ(๐‘ฅ2 ๐ธ(๐‘ฅ2 NOUN american_scientific_journal-942 81 5 ) ) PUNCT american_scientific_journal-942 81 6 = = SYM american_scientific_journal-942 81 7 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 81 8 ๐‘ฅ2๐‘“(๐‘ฅ)๐‘‘๐‘ฅ ๐‘ฅ2๐‘“(๐‘ฅ)๐‘‘๐‘ฅ PROPN american_scientific_journal-942 81 9 ๐ธ(๐‘ฅ2 ๐ธ(๐‘ฅ2 PROPN american_scientific_journal-942 81 10 ) ) PUNCT american_scientific_journal-942 81 11 = = SYM american_scientific_journal-942 81 12 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 81 13 ๐‘ฅ2 ๐‘ฅ2 PROPN american_scientific_journal-942 81 14 ๐‘Ž๐‘๐‘ ๐‘Ž๐‘๐‘ ADJ american_scientific_journal-942 81 15 ๐‘ฅ๐‘โˆ’1 ๐‘ฅ๐‘โˆ’1 NOUN american_scientific_journal-942 81 16 ( ( PUNCT american_scientific_journal-942 81 17 1 1 NUM american_scientific_journal-942 81 18 + + NUM american_scientific_journal-942 81 19 ๐‘Ž๐‘ฅ๐‘)๐‘+1 ๐‘Ž๐‘ฅ๐‘)๐‘+1 NOUN american_scientific_journal-942 81 20 ๐‘‘๐‘ฅ ๐‘‘๐‘ฅ VERB american_scientific_journal-942 81 21 ; ; PUNCT american_scientific_journal-942 81 22 = = SYM american_scientific_journal-942 81 23 ๐‘Ž๐‘๐‘ ๐‘Ž๐‘๐‘ ADJ american_scientific_journal-942 81 24 2 2 NUM american_scientific_journal-942 81 25 โˆ’ โˆ’ NOUN american_scientific_journal-942 81 26 ๐‘ ๐‘ NOUN american_scientific_journal-942 82 1 [ [ X american_scientific_journal-942 82 2 1 1 NUM american_scientific_journal-942 82 3 + + NUM american_scientific_journal-942 82 4 ๐‘Ž๐‘ฅ๐‘]2โˆ’๐‘ ๐‘Ž๐‘ฅ๐‘]2โˆ’๐‘ PRON american_scientific_journal-942 82 5 โ€ข โ€ข NOUN american_scientific_journal-942 82 6 bootstrapping bootstrappe VERB american_scientific_journal-942 82 7 actually actually ADV american_scientific_journal-942 82 8 works work VERB american_scientific_journal-942 82 9 ( ( PUNCT american_scientific_journal-942 82 10 i.e. i.e. X american_scientific_journal-942 82 11 consistent consistent ADJ american_scientific_journal-942 82 12 ) ) PUNCT american_scientific_journal-942 82 13 if if SCONJ american_scientific_journal-942 82 14 the the DET american_scientific_journal-942 82 15 following follow VERB american_scientific_journal-942 82 16 holds hold VERB american_scientific_journal-942 82 17 : : PUNCT american_scientific_journal-942 82 18 if if SCONJ american_scientific_journal-942 82 19 ๐‘‡(๐น๐‘›โˆ— ๐‘‡(๐น๐‘›โˆ— ADJ american_scientific_journal-942 82 20 ) ) PUNCT american_scientific_journal-942 82 21 converges converge VERB american_scientific_journal-942 82 22 to to PART american_scientific_journal-942 82 23 ๐‘‡(๐น ๐‘‡(๐น VERB american_scientific_journal-942 82 24 ) ) PUNCT american_scientific_journal-942 82 25 as as ADP american_scientific_journal-942 82 26 ๐‘› ๐‘› PROPN american_scientific_journal-942 82 27 โ†’ โ†’ SYM american_scientific_journal-942 82 28 โˆž โˆž PROPN american_scientific_journal-942 82 29 , , PUNCT american_scientific_journal-942 82 30 ( ( PUNCT american_scientific_journal-942 82 31 i.e. i.e. X american_scientific_journal-942 82 32 the the DET american_scientific_journal-942 82 33 bootstrap bootstrap NOUN american_scientific_journal-942 82 34 estimate estimate NOUN american_scientific_journal-942 82 35 is be AUX american_scientific_journal-942 82 36 consistent consistent ADJ american_scientific_journal-942 82 37 for for ADP american_scientific_journal-942 82 38 the the DET american_scientific_journal-942 82 39 population population NOUN american_scientific_journal-942 82 40 parameter parameter NOUN american_scientific_journal-942 82 41 ) ) PUNCT american_scientific_journal-942 82 42 which which PRON american_scientific_journal-942 82 43 implies imply VERB american_scientific_journal-942 82 44 that that SCONJ american_scientific_journal-942 82 45 โ€ข โ€ข NUM american_scientific_journal-942 82 46 ๐‘‡(๐น๐‘› ๐‘‡(๐น๐‘› PROPN american_scientific_journal-942 82 47 ) ) PUNCT american_scientific_journal-942 82 48 converges converge VERB american_scientific_journal-942 82 49 to to PART american_scientific_journal-942 82 50 ๐‘‡(๐น ๐‘‡(๐น VERB american_scientific_journal-942 82 51 ) ) PUNCT american_scientific_journal-942 82 52 as as ADP american_scientific_journal-942 82 53 ๐‘› ๐‘› PROPN american_scientific_journal-942 82 54 โ†’ โ†’ SYM american_scientific_journal-942 82 55 โˆž โˆž PROPN american_scientific_journal-942 82 56 , , PUNCT american_scientific_journal-942 82 57 ( ( PUNCT american_scientific_journal-942 82 58 i.e i.e PRON american_scientific_journal-942 82 59 sample sample NOUN american_scientific_journal-942 82 60 estimate estimate NOUN american_scientific_journal-942 82 61 is be AUX american_scientific_journal-942 82 62 consistent consistent ADJ american_scientific_journal-942 82 63 for for ADP american_scientific_journal-942 82 64 the the DET american_scientific_journal-942 82 65 population population NOUN american_scientific_journal-942 82 66 parameter parameter NOUN american_scientific_journal-942 82 67 , , PUNCT american_scientific_journal-942 82 68 when when SCONJ american_scientific_journal-942 82 69 ๐น๐‘› ๐น๐‘› PROPN american_scientific_journal-942 82 70 converges converge VERB american_scientific_journal-942 82 71 to to ADP american_scientific_journal-942 82 72 ๐น ๐น PRON american_scientific_journal-942 82 73 uniformly uniformly ADV american_scientific_journal-942 82 74 ) ) PUNCT american_scientific_journal-942 82 75 . . PUNCT american_scientific_journal-942 83 1 โ€ข โ€ข NUM american_scientific_journal-942 83 2 ๐‘‡ ๐‘‡ PROPN american_scientific_journal-942 83 3 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 83 4 ๐น ๐น PROPN american_scientific_journal-942 83 5 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 83 6 ๐‘›โˆ— ๐‘›โˆ— PROPN american_scientific_journal-942 83 7 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 83 8 โˆ’ โˆ’ PROPN american_scientific_journal-942 83 9 ๐‘‡(๐น๐‘› ๐‘‡(๐น๐‘› PROPN american_scientific_journal-942 83 10 ) ) PUNCT american_scientific_journal-942 83 11 โ†’ โ†’ SYM american_scientific_journal-942 83 12 0 0 PUNCT american_scientific_journal-942 83 13 as as ADP american_scientific_journal-942 83 14 ๐‘› ๐‘› PROPN american_scientific_journal-942 83 15 โ†’ โ†’ SYM american_scientific_journal-942 83 16 โˆž โˆž PROPN american_scientific_journal-942 83 17 , , PUNCT american_scientific_journal-942 83 18 ( ( PUNCT american_scientific_journal-942 83 19 i.e. i.e. X american_scientific_journal-942 83 20 the the DET american_scientific_journal-942 83 21 difference difference NOUN american_scientific_journal-942 83 22 between between ADP american_scientific_journal-942 83 23 bootstrap bootstrap NOUN american_scientific_journal-942 83 24 estimate estimate NOUN american_scientific_journal-942 83 25 and and CCONJ american_scientific_journal-942 83 26 sample sample NOUN american_scientific_journal-942 83 27 estimates estimate NOUN american_scientific_journal-942 83 28 tends tend VERB american_scientific_journal-942 83 29 to to ADP american_scientific_journal-942 83 30 zero zero NUM american_scientific_journal-942 83 31 ) ) PUNCT american_scientific_journal-942 83 32 . . PUNCT american_scientific_journal-942 84 1 the the DET american_scientific_journal-942 84 2 simulation simulation NOUN american_scientific_journal-942 84 3 study study NOUN american_scientific_journal-942 84 4 can can AUX american_scientific_journal-942 84 5 also also ADV american_scientific_journal-942 84 6 be be AUX american_scientific_journal-942 84 7 used use VERB american_scientific_journal-942 84 8 to to PART american_scientific_journal-942 84 9 confirm confirm VERB american_scientific_journal-942 84 10 or or CCONJ american_scientific_journal-942 84 11 deny deny VERB american_scientific_journal-942 84 12 the the DET american_scientific_journal-942 84 13 usefulness usefulness NOUN american_scientific_journal-942 84 14 of of ADP american_scientific_journal-942 84 15 the the DET american_scientific_journal-942 84 16 bootstrap bootstrap NOUN american_scientific_journal-942 84 17 estimate estimate NOUN american_scientific_journal-942 84 18 . . PUNCT american_scientific_journal-942 85 1 the the DET american_scientific_journal-942 85 2 performances performance NOUN american_scientific_journal-942 85 3 of of ADP american_scientific_journal-942 85 4 the the DET american_scientific_journal-942 85 5 estimates estimate NOUN american_scientific_journal-942 85 6 are be AUX american_scientific_journal-942 85 7 judged judge VERB american_scientific_journal-942 85 8 in in ADP american_scientific_journal-942 85 9 the the DET american_scientific_journal-942 85 10 empirical empirical ADJ american_scientific_journal-942 85 11 work work NOUN american_scientific_journal-942 85 12 , , PUNCT american_scientific_journal-942 85 13 by by ADP american_scientific_journal-942 85 14 obtaining obtain VERB american_scientific_journal-942 85 15 standard standard ADJ american_scientific_journal-942 85 16 error error NOUN american_scientific_journal-942 85 17 , , PUNCT american_scientific_journal-942 85 18 absolute absolute ADJ american_scientific_journal-942 85 19 bias bias NOUN american_scientific_journal-942 85 20 , , PUNCT american_scientific_journal-942 85 21 root root NOUN american_scientific_journal-942 85 22 mean mean NOUN american_scientific_journal-942 85 23 square square ADJ american_scientific_journal-942 85 24 error error NOUN american_scientific_journal-942 85 25 and and CCONJ american_scientific_journal-942 85 26 coefficient coefficient NOUN american_scientific_journal-942 85 27 of of ADP american_scientific_journal-942 85 28 variation variation NOUN american_scientific_journal-942 85 29 [ [ X american_scientific_journal-942 85 30 13 13 NUM american_scientific_journal-942 85 31 ] ] PUNCT american_scientific_journal-942 85 32 . . PUNCT american_scientific_journal-942 86 1 2.4 2.4 NUM american_scientific_journal-942 86 2 . . PUNCT american_scientific_journal-942 86 3 decomposition decomposition NOUN american_scientific_journal-942 86 4 of of ADP american_scientific_journal-942 86 5 empirical empirical ADJ american_scientific_journal-942 86 6 distribution distribution NOUN american_scientific_journal-942 86 7 the the DET american_scientific_journal-942 86 8 proposed propose VERB american_scientific_journal-942 86 9 measurement measurement NOUN american_scientific_journal-942 86 10 scenarios scenario NOUN american_scientific_journal-942 86 11 are be AUX american_scientific_journal-942 86 12 decomposition decomposition NOUN american_scientific_journal-942 86 13 of of ADP american_scientific_journal-942 86 14 the the DET american_scientific_journal-942 86 15 empirical empirical ADJ american_scientific_journal-942 86 16 distribution distribution NOUN american_scientific_journal-942 86 17 by by ADP american_scientific_journal-942 86 18 sub sub NOUN american_scientific_journal-942 86 19 - - NOUN american_scientific_journal-942 86 20 group group NOUN american_scientific_journal-942 86 21 ( ( PUNCT american_scientific_journal-942 86 22 in in ADP american_scientific_journal-942 86 23 form form NOUN american_scientific_journal-942 86 24 of of ADP american_scientific_journal-942 86 25 strata strata NOUN american_scientific_journal-942 86 26 ) ) PUNCT american_scientific_journal-942 86 27 which which PRON american_scientific_journal-942 86 28 could could AUX american_scientific_journal-942 86 29 be be AUX american_scientific_journal-942 86 30 income income NOUN american_scientific_journal-942 86 31 levels level NOUN american_scientific_journal-942 86 32 , , PUNCT american_scientific_journal-942 86 33 the the DET american_scientific_journal-942 86 34 subgroups subgroup NOUN american_scientific_journal-942 86 35 are be AUX american_scientific_journal-942 86 36 disjoint disjoint ADJ american_scientific_journal-942 86 37 and and CCONJ american_scientific_journal-942 86 38 all all DET american_scientific_journal-942 86 39 subgroups subgroup NOUN american_scientific_journal-942 86 40 taken take VERB american_scientific_journal-942 86 41 together together ADV american_scientific_journal-942 86 42 constitute constitute VERB american_scientific_journal-942 86 43 the the DET american_scientific_journal-942 86 44 population population NOUN american_scientific_journal-942 86 45 . . PUNCT american_scientific_journal-942 87 1 authors author NOUN american_scientific_journal-942 87 2 in in ADP american_scientific_journal-942 87 3 [ [ X american_scientific_journal-942 87 4 5 5 NUM american_scientific_journal-942 87 5 ] ] PUNCT american_scientific_journal-942 87 6 included include VERB american_scientific_journal-942 87 7 decomposition decomposition NOUN american_scientific_journal-942 87 8 by by ADP american_scientific_journal-942 87 9 population population NOUN american_scientific_journal-942 87 10 subgroups subgroup NOUN american_scientific_journal-942 87 11 due due ADJ american_scientific_journal-942 87 12 to to ADP american_scientific_journal-942 87 13 significant significant ADJ american_scientific_journal-942 87 14 differences difference NOUN american_scientific_journal-942 87 15 in in ADP american_scientific_journal-942 87 16 income income NOUN american_scientific_journal-942 87 17 levels level NOUN american_scientific_journal-942 87 18 among among ADP american_scientific_journal-942 87 19 individuals individual NOUN american_scientific_journal-942 87 20 , , PUNCT american_scientific_journal-942 87 21 these these DET american_scientific_journal-942 87 22 differences difference NOUN american_scientific_journal-942 87 23 are be AUX american_scientific_journal-942 87 24 caused cause VERB american_scientific_journal-942 87 25 by by ADP american_scientific_journal-942 87 26 some some DET american_scientific_journal-942 87 27 characteristics characteristic NOUN american_scientific_journal-942 87 28 such such ADJ american_scientific_journal-942 87 29 as as ADP american_scientific_journal-942 87 30 age age NOUN american_scientific_journal-942 87 31 , , PUNCT american_scientific_journal-942 87 32 race race NOUN american_scientific_journal-942 87 33 etc etc X american_scientific_journal-942 87 34 . . PUNCT american_scientific_journal-942 88 1 the the DET american_scientific_journal-942 88 2 author author NOUN american_scientific_journal-942 88 3 in in ADP american_scientific_journal-942 88 4 [ [ X american_scientific_journal-942 88 5 1 1 NUM american_scientific_journal-942 88 6 ] ] PUNCT american_scientific_journal-942 88 7 recommended recommend VERB american_scientific_journal-942 88 8 stratified stratified ADJ american_scientific_journal-942 88 9 sampling sampling NOUN american_scientific_journal-942 88 10 as as ADP american_scientific_journal-942 88 11 a a DET american_scientific_journal-942 88 12 remedy remedy NOUN american_scientific_journal-942 88 13 for for ADP american_scientific_journal-942 88 14 inconsistency inconsistency NOUN american_scientific_journal-942 88 15 in in ADP american_scientific_journal-942 88 16 bootstrap bootstrap NOUN american_scientific_journal-942 88 17 method method NOUN american_scientific_journal-942 88 18 . . PUNCT american_scientific_journal-942 89 1 stratification stratification NOUN american_scientific_journal-942 89 2 can can AUX american_scientific_journal-942 89 3 be be AUX american_scientific_journal-942 89 4 useful useful ADJ american_scientific_journal-942 89 5 in in ADP american_scientific_journal-942 89 6 reducing reduce VERB american_scientific_journal-942 89 7 the the DET american_scientific_journal-942 89 8 variability variability NOUN american_scientific_journal-942 89 9 of of ADP american_scientific_journal-942 89 10 some some DET american_scientific_journal-942 89 11 estimates estimate NOUN american_scientific_journal-942 89 12 . . PUNCT american_scientific_journal-942 90 1 stratified stratified ADJ american_scientific_journal-942 90 2 sampling sampling NOUN american_scientific_journal-942 90 3 has have AUX american_scientific_journal-942 90 4 been be AUX american_scientific_journal-942 90 5 regarded regard VERB american_scientific_journal-942 90 6 as as ADP american_scientific_journal-942 90 7 a a DET american_scientific_journal-942 90 8 method method NOUN american_scientific_journal-942 90 9 of of ADP american_scientific_journal-942 90 10 variance variance NOUN american_scientific_journal-942 90 11 reduction reduction NOUN american_scientific_journal-942 90 12 in in ADP american_scientific_journal-942 90 13 computational computational ADJ american_scientific_journal-942 90 14 statistics statistic NOUN american_scientific_journal-942 90 15 and and CCONJ american_scientific_journal-942 90 16 that that SCONJ american_scientific_journal-942 90 17 a a DET american_scientific_journal-942 90 18 stratified stratified ADJ american_scientific_journal-942 90 19 survey survey NOUN american_scientific_journal-942 90 20 could could AUX american_scientific_journal-942 90 21 claim claim VERB american_scientific_journal-942 90 22 to to PART american_scientific_journal-942 90 23 be be AUX american_scientific_journal-942 90 24 more more ADV american_scientific_journal-942 90 25 representative representative NOUN american_scientific_journal-942 90 26 of of ADP american_scientific_journal-942 90 27 the the DET american_scientific_journal-942 90 28 population population NOUN american_scientific_journal-942 90 29 than than ADP american_scientific_journal-942 90 30 a a DET american_scientific_journal-942 90 31 survey survey NOUN american_scientific_journal-942 90 32 of of ADP american_scientific_journal-942 90 33 simple simple ADJ american_scientific_journal-942 90 34 random random ADJ american_scientific_journal-942 90 35 sampling sampling NOUN american_scientific_journal-942 90 36 or or CCONJ american_scientific_journal-942 90 37 systematic systematic ADJ american_scientific_journal-942 90 38 sampling sampling NOUN american_scientific_journal-942 90 39 . . PUNCT american_scientific_journal-942 91 1 in in ADP american_scientific_journal-942 91 2 stratified stratified ADJ american_scientific_journal-942 91 3 sampling sampling NOUN american_scientific_journal-942 91 4 , , PUNCT american_scientific_journal-942 91 5 there there PRON american_scientific_journal-942 91 6 is be VERB american_scientific_journal-942 91 7 assurance assurance NOUN american_scientific_journal-942 91 8 that that SCONJ american_scientific_journal-942 91 9 estimates estimate NOUN american_scientific_journal-942 91 10 would would AUX american_scientific_journal-942 91 11 be be AUX american_scientific_journal-942 91 12 made make VERB american_scientific_journal-942 91 13 with with ADP american_scientific_journal-942 91 14 equal equal ADJ american_scientific_journal-942 91 15 precision precision NOUN american_scientific_journal-942 91 16 in in ADP american_scientific_journal-942 91 17 different different ADJ american_scientific_journal-942 91 18 parts part NOUN american_scientific_journal-942 91 19 of of ADP american_scientific_journal-942 91 20 the the DET american_scientific_journal-942 91 21 region region NOUN american_scientific_journal-942 91 22 , , PUNCT american_scientific_journal-942 91 23 and and CCONJ american_scientific_journal-942 91 24 that that DET american_scientific_journal-942 91 25 comparisons comparison NOUN american_scientific_journal-942 91 26 of of ADP american_scientific_journal-942 91 27 sub sub NOUN american_scientific_journal-942 91 28 - - NOUN american_scientific_journal-942 91 29 regions region NOUN american_scientific_journal-942 91 30 would would AUX american_scientific_journal-942 91 31 be be AUX american_scientific_journal-942 91 32 made make VERB american_scientific_journal-942 91 33 with with ADP american_scientific_journal-942 91 34 equal equal ADJ american_scientific_journal-942 91 35 statistical statistical ADJ american_scientific_journal-942 91 36 power power NOUN american_scientific_journal-942 91 37 [ [ X american_scientific_journal-942 91 38 6 6 NUM american_scientific_journal-942 91 39 ] ] PUNCT american_scientific_journal-942 91 40 . . PUNCT american_scientific_journal-942 92 1 the the DET american_scientific_journal-942 92 2 author author NOUN american_scientific_journal-942 92 3 in in ADP american_scientific_journal-942 92 4 [ [ X american_scientific_journal-942 92 5 4 4 NUM american_scientific_journal-942 92 6 ] ] X american_scientific_journal-942 92 7 decomposed decomposed ADJ american_scientific_journal-942 92 8 income income NOUN american_scientific_journal-942 92 9 distribution distribution NOUN american_scientific_journal-942 92 10 into into ADP american_scientific_journal-942 92 11 subgroups subgroup NOUN american_scientific_journal-942 92 12 such such ADJ american_scientific_journal-942 92 13 that that SCONJ american_scientific_journal-942 92 14 ๐‘ค๐‘– ๐‘ค๐‘– NOUN american_scientific_journal-942 92 15 , , PUNCT american_scientific_journal-942 92 16 ๐‘ฅ๐‘– ๐‘ฅ๐‘– PRON american_scientific_journal-942 92 17 are be AUX american_scientific_journal-942 92 18 the the DET american_scientific_journal-942 92 19 weights weight NOUN american_scientific_journal-942 92 20 and and CCONJ american_scientific_journal-942 92 21 the the DET american_scientific_journal-942 92 22 income income NOUN american_scientific_journal-942 92 23 sources source NOUN american_scientific_journal-942 92 24 . . PUNCT american_scientific_journal-942 93 1 it it PRON american_scientific_journal-942 93 2 is be AUX american_scientific_journal-942 93 3 assumed assume VERB american_scientific_journal-942 93 4 that that SCONJ american_scientific_journal-942 93 5 the the DET american_scientific_journal-942 93 6 subgroups subgroup NOUN american_scientific_journal-942 93 7 are be AUX american_scientific_journal-942 93 8 disjoint disjoint ADJ american_scientific_journal-942 93 9 and and CCONJ american_scientific_journal-942 93 10 that that SCONJ american_scientific_journal-942 93 11 all all DET american_scientific_journal-942 93 12 subgroups subgroup NOUN american_scientific_journal-942 93 13 taken take VERB american_scientific_journal-942 93 14 together together ADV american_scientific_journal-942 93 15 constitute constitute VERB american_scientific_journal-942 93 16 the the DET american_scientific_journal-942 93 17 146 146 NUM american_scientific_journal-942 93 18 american american ADJ american_scientific_journal-942 93 19 scientific scientific ADJ american_scientific_journal-942 93 20 research research NOUN american_scientific_journal-942 93 21 journal journal NOUN american_scientific_journal-942 93 22 for for ADP american_scientific_journal-942 93 23 engineering engineering NOUN american_scientific_journal-942 93 24 , , PUNCT american_scientific_journal-942 93 25 technology technology NOUN american_scientific_journal-942 93 26 , , PUNCT american_scientific_journal-942 93 27 and and CCONJ american_scientific_journal-942 93 28 sciences science NOUN american_scientific_journal-942 93 29 ( ( PUNCT american_scientific_journal-942 93 30 asrjets asrjet NOUN american_scientific_journal-942 93 31 ) ) PUNCT american_scientific_journal-942 93 32 ( ( PUNCT american_scientific_journal-942 93 33 2015 2015 NUM american_scientific_journal-942 93 34 ) ) PUNCT american_scientific_journal-942 93 35 volume volume NOUN american_scientific_journal-942 93 36 14 14 NUM american_scientific_journal-942 93 37 , , PUNCT american_scientific_journal-942 93 38 no no DET american_scientific_journal-942 93 39 1 1 NUM american_scientific_journal-942 93 40 , , PUNCT american_scientific_journal-942 93 41 pp pp ADV american_scientific_journal-942 93 42 142 142 NUM american_scientific_journal-942 93 43 - - SYM american_scientific_journal-942 93 44 155 155 NUM american_scientific_journal-942 93 45 population population NOUN american_scientific_journal-942 93 46 ( ( PUNCT american_scientific_journal-942 93 47 i.e. i.e. X american_scientific_journal-942 93 48 are be AUX american_scientific_journal-942 93 49 mutually mutually ADV american_scientific_journal-942 93 50 exclusive).his exclusive).his DET american_scientific_journal-942 93 51 statistics statistic NOUN american_scientific_journal-942 93 52 of of ADP american_scientific_journal-942 93 53 interest interest NOUN american_scientific_journal-942 93 54 are be AUX american_scientific_journal-942 93 55 the the DET american_scientific_journal-942 93 56 contribution contribution NOUN american_scientific_journal-942 93 57 of of ADP american_scientific_journal-942 93 58 income income NOUN american_scientific_journal-942 93 59 sources source NOUN american_scientific_journal-942 93 60 to to ADP american_scientific_journal-942 93 61 overall overall ADJ american_scientific_journal-942 93 62 inequality inequality NOUN american_scientific_journal-942 93 63 . . PUNCT american_scientific_journal-942 94 1 the the DET american_scientific_journal-942 94 2 observed observed ADJ american_scientific_journal-942 94 3 data data NOUN american_scientific_journal-942 94 4 is be AUX american_scientific_journal-942 94 5 assumed assume VERB american_scientific_journal-942 94 6 to to PART american_scientific_journal-942 94 7 be be AUX american_scientific_journal-942 94 8 of of ADP american_scientific_journal-942 94 9 the the DET american_scientific_journal-942 94 10 form form NOUN american_scientific_journal-942 94 11 ๐‘ฆ๐‘– ๐‘ฆ๐‘– PROPN american_scientific_journal-942 94 12 = = SYM american_scientific_journal-942 94 13 ( ( PUNCT american_scientific_journal-942 94 14 ๐‘Ÿ๐‘– ๐‘Ÿ๐‘– ADV american_scientific_journal-942 94 15 , , PUNCT american_scientific_journal-942 94 16 ๐‘ฅ๐‘– ๐‘ฅ๐‘– PROPN american_scientific_journal-942 94 17 ) ) PUNCT american_scientific_journal-942 94 18 for for ADP american_scientific_journal-942 94 19 ๐‘– ๐‘– NOUN american_scientific_journal-942 94 20 = = SYM american_scientific_journal-942 94 21 1 1 NUM american_scientific_journal-942 94 22 โ€ฆ โ€ฆ PUNCT american_scientific_journal-942 94 23 . . PUNCT american_scientific_journal-942 94 24 . . PUNCT american_scientific_journal-942 95 1 ๐‘› ๐‘› X american_scientific_journal-942 95 2 , , PUNCT american_scientific_journal-942 95 3 which which PRON american_scientific_journal-942 95 4 can can AUX american_scientific_journal-942 95 5 be be AUX american_scientific_journal-942 95 6 interpreted interpret VERB american_scientific_journal-942 95 7 as as ADP american_scientific_journal-942 95 8 ๐‘–๐‘–๐‘‘ ๐‘–๐‘–๐‘‘ NOUN american_scientific_journal-942 95 9 sample sample NOUN american_scientific_journal-942 95 10 of of ADP american_scientific_journal-942 95 11 size size NOUN american_scientific_journal-942 95 12 ๐‘› ๐‘› PROPN american_scientific_journal-942 95 13 from from ADP american_scientific_journal-942 95 14 a a DET american_scientific_journal-942 95 15 joint joint ADJ american_scientific_journal-942 95 16 distribution distribution NOUN american_scientific_journal-942 95 17 of of ADP american_scientific_journal-942 95 18 ๐บ ๐บ PROPN american_scientific_journal-942 95 19 of of ADP american_scientific_journal-942 95 20 ๐‘Ÿ ๐‘Ÿ NOUN american_scientific_journal-942 95 21 and and CCONJ american_scientific_journal-942 95 22 ๐‘ฅ ๐‘ฅ NOUN american_scientific_journal-942 95 23 , , PUNCT american_scientific_journal-942 95 24 ๐บ(๐‘Ÿ๐‘– ๐บ(๐‘Ÿ๐‘– NOUN american_scientific_journal-942 95 25 , , PUNCT american_scientific_journal-942 95 26 ๐‘ฅ๐‘– ๐‘ฅ๐‘– PROPN american_scientific_journal-942 95 27 ) ) PUNCT american_scientific_journal-942 95 28 , , PUNCT american_scientific_journal-942 95 29 let let VERB american_scientific_journal-942 95 30 ๐‘Ÿ๐‘– ๐‘Ÿ๐‘– PART american_scientific_journal-942 95 31 denote denote VERB american_scientific_journal-942 95 32 the the DET american_scientific_journal-942 95 33 decomposition decomposition NOUN american_scientific_journal-942 95 34 level level NOUN american_scientific_journal-942 95 35 of of ADP american_scientific_journal-942 95 36 observational observational ADJ american_scientific_journal-942 95 37 unit unit NOUN american_scientific_journal-942 95 38 ๐‘– ๐‘– SYM american_scientific_journal-942 95 39 and and CCONJ american_scientific_journal-942 95 40 ๐‘ฅ๐‘– ๐‘ฅ๐‘– ADP american_scientific_journal-942 95 41 its its PRON american_scientific_journal-942 95 42 income income NOUN american_scientific_journal-942 95 43 . . PUNCT american_scientific_journal-942 96 1 the the DET american_scientific_journal-942 96 2 ideology ideology NOUN american_scientific_journal-942 96 3 is be AUX american_scientific_journal-942 96 4 to to PART american_scientific_journal-942 96 5 model model NOUN american_scientific_journal-942 96 6 sampling sample VERB american_scientific_journal-942 96 7 from from ADP american_scientific_journal-942 96 8 a a DET american_scientific_journal-942 96 9 finite finite ADJ american_scientific_journal-942 96 10 population population NOUN american_scientific_journal-942 96 11 as as ADP american_scientific_journal-942 96 12 ๐‘–๐‘–๐‘‘ ๐‘–๐‘–๐‘‘ NOUN american_scientific_journal-942 96 13 draws draw VERB american_scientific_journal-942 96 14 from from ADP american_scientific_journal-942 96 15 a a DET american_scientific_journal-942 96 16 distribution distribution NOUN american_scientific_journal-942 96 17 ๐บ ๐บ NOUN american_scientific_journal-942 96 18 of of ADP american_scientific_journal-942 96 19 decomposition decomposition NOUN american_scientific_journal-942 96 20 levels level NOUN american_scientific_journal-942 96 21 , , PUNCT american_scientific_journal-942 96 22 ๐‘Ÿ ๐‘Ÿ NOUN american_scientific_journal-942 96 23 and and CCONJ american_scientific_journal-942 96 24 income income NOUN american_scientific_journal-942 96 25 , , PUNCT american_scientific_journal-942 96 26 ๐‘ฅ. ๐‘ฅ. VERB american_scientific_journal-942 96 27 the the DET american_scientific_journal-942 96 28 decomposition decomposition NOUN american_scientific_journal-942 96 29 levels level NOUN american_scientific_journal-942 96 30 could could AUX american_scientific_journal-942 96 31 rank rank VERB american_scientific_journal-942 96 32 the the DET american_scientific_journal-942 96 33 cases case NOUN american_scientific_journal-942 96 34 with with ADP american_scientific_journal-942 96 35 a a DET american_scientific_journal-942 96 36 particular particular ADJ american_scientific_journal-942 96 37 value value NOUN american_scientific_journal-942 96 38 of of ADP american_scientific_journal-942 96 39 ๐‘ฅ. ๐‘ฅ. DET american_scientific_journal-942 96 40 the the DET american_scientific_journal-942 96 41 equivalent equivalent ADJ american_scientific_journal-942 96 42 income income NOUN american_scientific_journal-942 96 43 associated associate VERB american_scientific_journal-942 96 44 with with ADP american_scientific_journal-942 96 45 an an DET american_scientific_journal-942 96 46 individual individual ADJ american_scientific_journal-942 96 47 rank rank NOUN american_scientific_journal-942 96 48 of of ADP american_scientific_journal-942 96 49 ๐‘Ÿ ๐‘Ÿ NOUN american_scientific_journal-942 96 50 = = SYM american_scientific_journal-942 96 51 2 2 NUM american_scientific_journal-942 96 52 may may AUX american_scientific_journal-942 96 53 not not PART american_scientific_journal-942 96 54 necessarily necessarily ADV american_scientific_journal-942 96 55 count count VERB american_scientific_journal-942 96 56 twice twice ADV american_scientific_journal-942 96 57 as as ADV american_scientific_journal-942 96 58 much much ADJ american_scientific_journal-942 96 59 as as ADP american_scientific_journal-942 96 60 incomes income NOUN american_scientific_journal-942 96 61 associated associate VERB american_scientific_journal-942 96 62 with with ADP american_scientific_journal-942 96 63 an an DET american_scientific_journal-942 96 64 individual individual ADJ american_scientific_journal-942 96 65 rank rank NOUN american_scientific_journal-942 96 66 of of ADP american_scientific_journal-942 96 67 ๐‘Ÿ ๐‘Ÿ NOUN american_scientific_journal-942 96 68 = = SYM american_scientific_journal-942 96 69 1 1 NUM american_scientific_journal-942 96 70 , , PUNCT american_scientific_journal-942 96 71 it it PRON american_scientific_journal-942 96 72 may may AUX american_scientific_journal-942 96 73 count count VERB american_scientific_journal-942 96 74 in in ADP american_scientific_journal-942 96 75 fraction fraction NOUN american_scientific_journal-942 96 76 . . PUNCT american_scientific_journal-942 97 1 let let VERB american_scientific_journal-942 97 2 ๐ป๐‘› ๐ป๐‘› ADJ american_scientific_journal-942 97 3 denotes denote NOUN american_scientific_journal-942 97 4 the the DET american_scientific_journal-942 97 5 distribution distribution NOUN american_scientific_journal-942 97 6 function function NOUN american_scientific_journal-942 97 7 of of ADP american_scientific_journal-942 97 8 income income NOUN american_scientific_journal-942 97 9 that that PRON american_scientific_journal-942 97 10 results result VERB american_scientific_journal-942 97 11 after after SCONJ american_scientific_journal-942 97 12 the the DET american_scientific_journal-942 97 13 decomposition decomposition NOUN american_scientific_journal-942 97 14 levels level NOUN american_scientific_journal-942 97 15 have have AUX american_scientific_journal-942 97 16 been be AUX american_scientific_journal-942 97 17 taken take VERB american_scientific_journal-942 97 18 to to ADP american_scientific_journal-942 97 19 consideration consideration NOUN american_scientific_journal-942 97 20 . . PUNCT american_scientific_journal-942 98 1 let let VERB american_scientific_journal-942 98 2 mean mean VERB american_scientific_journal-942 98 3 income income NOUN american_scientific_journal-942 99 1 = = SYM american_scientific_journal-942 100 1 โˆซ โˆซ PROPN american_scientific_journal-942 101 1 ๐‘ฅ ๐‘ฅ PROPN american_scientific_journal-942 101 2 ๐‘‘ ๐‘‘ NOUN american_scientific_journal-942 101 3 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 101 4 ๐ป๐‘›(๐‘ฅ) ๐ป๐‘›(๐‘ฅ) NOUN american_scientific_journal-942 101 5 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 101 6 ๐‘ฅ ๐‘ฅ NOUN american_scientific_journal-942 101 7 but but CCONJ american_scientific_journal-942 101 8 ๐‘‘ ๐‘‘ NOUN american_scientific_journal-942 101 9 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 101 10 ๐ป๐‘›(๐‘ฅ ๐ป๐‘›(๐‘ฅ NOUN american_scientific_journal-942 101 11 ) ) PUNCT american_scientific_journal-942 101 12 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 101 13 = = SYM american_scientific_journal-942 101 14 โˆซ โˆซ PROPN american_scientific_journal-942 101 15 ๐‘Ÿ ๐‘Ÿ X american_scientific_journal-942 101 16 ๐‘‘ ๐‘‘ PROPN american_scientific_journal-942 101 17 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 101 18 ๐บ(๐‘Ÿ,๐‘ฅ) ๐บ(๐‘Ÿ,๐‘ฅ) NOUN american_scientific_journal-942 101 19 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 101 20 ๐‘Ÿ ๐‘Ÿ PART american_scientific_journal-942 101 21 โˆซ โˆซ PROPN american_scientific_journal-942 101 22 โˆซ โˆซ PROPN american_scientific_journal-942 101 23 ๐‘Ÿ ๐‘Ÿ X american_scientific_journal-942 101 24 ๐‘‘ ๐‘‘ PROPN american_scientific_journal-942 101 25 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 101 26 ๐บ(๐‘Ÿ ๐บ(๐‘Ÿ NOUN american_scientific_journal-942 101 27 , , PUNCT american_scientific_journal-942 101 28 ๐‘ฅ) ๐‘ฅ) NOUN american_scientific_journal-942 101 29 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 101 30 ๐‘Ÿ๐‘ฅ ๐‘Ÿ๐‘ฅ PRON american_scientific_journal-942 101 31 hence hence ADV american_scientific_journal-942 101 32 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 101 33 ๐‘ฅ๐‘‘ ๐‘ฅ๐‘‘ NUM american_scientific_journal-942 101 34 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 101 35 ๐ป๐‘›(๐‘ฅ ๐ป๐‘›(๐‘ฅ PART american_scientific_journal-942 101 36 ) ) PUNCT american_scientific_journal-942 101 37 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 102 1 = = SYM american_scientific_journal-942 102 2 โˆซ โˆซ PROPN american_scientific_journal-942 102 3 โˆซ โˆซ PROPN american_scientific_journal-942 102 4 ๐‘Ÿ๐‘ฅ ๐‘Ÿ๐‘ฅ PROPN american_scientific_journal-942 102 5 ๐‘‘ ๐‘‘ PROPN american_scientific_journal-942 102 6 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 102 7 ๐บ(๐‘Ÿ ๐บ(๐‘Ÿ PROPN american_scientific_journal-942 102 8 , , PUNCT american_scientific_journal-942 102 9 ๐‘ฅ) ๐‘ฅ) NOUN american_scientific_journal-942 102 10 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 102 11 ๐‘Ÿ๐‘ฅ ๐‘Ÿ๐‘ฅ VERB american_scientific_journal-942 102 12 โˆซ โˆซ PROPN american_scientific_journal-942 102 13 โˆซ โˆซ PROPN american_scientific_journal-942 102 14 ๐‘Ÿ ๐‘Ÿ PROPN american_scientific_journal-942 102 15 ๐‘‘ ๐‘‘ PROPN american_scientific_journal-942 102 16 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 102 17 ๐บ(๐‘Ÿ,๐‘ฅ) ๐บ(๐‘Ÿ,๐‘ฅ) NOUN american_scientific_journal-942 102 18 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 102 19 ๐‘Ÿ๐‘ฅ๐‘ฅ ๐‘Ÿ๐‘ฅ๐‘ฅ NOUN american_scientific_journal-942 102 20 [ [ X american_scientific_journal-942 102 21 4 4 NUM american_scientific_journal-942 102 22 ] ] PUNCT american_scientific_journal-942 102 23 . . PUNCT american_scientific_journal-942 103 1 2.5 2.5 NUM american_scientific_journal-942 103 2 . . PUNCT american_scientific_journal-942 104 1 description description NOUN american_scientific_journal-942 104 2 of of ADP american_scientific_journal-942 104 3 the the DET american_scientific_journal-942 104 4 mmoon mmoon NOUN american_scientific_journal-942 104 5 bootstrap bootstrap NOUN american_scientific_journal-942 104 6 method method VERB american_scientific_journal-942 104 7 the the DET american_scientific_journal-942 104 8 method method NOUN american_scientific_journal-942 104 9 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 104 10 would would AUX american_scientific_journal-942 104 11 resample resample VERB american_scientific_journal-942 104 12 from from ADP american_scientific_journal-942 104 13 ๐ป๐‘› ๐ป๐‘› ADJ american_scientific_journal-942 104 14 distribution distribution NOUN american_scientific_journal-942 104 15 which which PRON american_scientific_journal-942 104 16 is be AUX american_scientific_journal-942 104 17 a a DET american_scientific_journal-942 104 18 decomposed decomposed ADJ american_scientific_journal-942 104 19 version version NOUN american_scientific_journal-942 104 20 of of ADP american_scientific_journal-942 104 21 ๐น ๐น PROPN american_scientific_journal-942 104 22 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 104 23 ๐‘› ๐‘› DET american_scientific_journal-942 104 24 , , PUNCT american_scientific_journal-942 104 25 the the DET american_scientific_journal-942 104 26 procedure procedure NOUN american_scientific_journal-942 104 27 provides provide VERB american_scientific_journal-942 104 28 and and CCONJ american_scientific_journal-942 104 29 estimates estimate VERB american_scientific_journal-942 104 30 different different ADJ american_scientific_journal-942 104 31 measures measure NOUN american_scientific_journal-942 104 32 of of ADP american_scientific_journal-942 104 33 statistical statistical ADJ american_scientific_journal-942 104 34 precision precision NOUN american_scientific_journal-942 104 35 for for ADP american_scientific_journal-942 104 36 an an DET american_scientific_journal-942 104 37 estimator estimator NOUN american_scientific_journal-942 104 38 ๐œƒ ๐œƒ PROPN american_scientific_journal-942 104 39 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 104 40 . . PUNCT american_scientific_journal-942 105 1 below below ADV american_scientific_journal-942 105 2 is be AUX american_scientific_journal-942 105 3 the the DET american_scientific_journal-942 105 4 description description NOUN american_scientific_journal-942 105 5 of of ADP american_scientific_journal-942 105 6 how how SCONJ american_scientific_journal-942 105 7 the the DET american_scientific_journal-942 105 8 method method NOUN american_scientific_journal-942 105 9 works work VERB american_scientific_journal-942 105 10 . . PUNCT american_scientific_journal-942 106 1 suppose suppose VERB american_scientific_journal-942 106 2 a a DET american_scientific_journal-942 106 3 random random ADJ american_scientific_journal-942 106 4 sample sample NOUN american_scientific_journal-942 106 5 of of ADP american_scientific_journal-942 106 6 size size NOUN american_scientific_journal-942 106 7 ๐‘› ๐‘› PROPN american_scientific_journal-942 106 8 is be AUX american_scientific_journal-942 106 9 observed observe VERB american_scientific_journal-942 106 10 from from ADP american_scientific_journal-942 106 11 a a DET american_scientific_journal-942 106 12 completely completely ADV american_scientific_journal-942 106 13 unspecified unspecified ADJ american_scientific_journal-942 106 14 probability probability NOUN american_scientific_journal-942 106 15 distribution distribution NOUN american_scientific_journal-942 106 16 . . PUNCT american_scientific_journal-942 107 1 ๐‘‹๐‘– ๐‘‹๐‘– NOUN american_scientific_journal-942 107 2 = = SYM american_scientific_journal-942 107 3 ๐‘ฅ๐‘– ๐‘ฅ๐‘– PROPN american_scientific_journal-942 107 4 , , PUNCT american_scientific_journal-942 107 5 ๐‘‹๐‘– ๐‘‹๐‘– PROPN american_scientific_journal-942 107 6 โˆผ โˆผ NOUN american_scientific_journal-942 107 7 ๐น ๐น PROPN american_scientific_journal-942 107 8 , , PUNCT american_scientific_journal-942 107 9 ๐‘– ๐‘– NOUN american_scientific_journal-942 107 10 = = NOUN american_scientific_journal-942 107 11 1 1 NUM american_scientific_journal-942 107 12 , , PUNCT american_scientific_journal-942 107 13 โ€ฆ โ€ฆ PUNCT american_scientific_journal-942 107 14 . . PUNCT american_scientific_journal-942 108 1 , , PUNCT american_scientific_journal-942 108 2 ๐‘›. ๐‘›. NOUN american_scientific_journal-942 108 3 ๐‘ฅ๐‘– ๐‘ฅ๐‘– ADP american_scientific_journal-942 108 4 โˆผ โˆผ NOUN american_scientific_journal-942 108 5 ๐‘–๐‘–๐‘‘ ๐‘–๐‘–๐‘‘ NOUN american_scientific_journal-942 108 6 1 1 X american_scientific_journal-942 108 7 . . PUNCT american_scientific_journal-942 108 8 construct construct VERB american_scientific_journal-942 108 9 the the DET american_scientific_journal-942 108 10 sample sample NOUN american_scientific_journal-942 108 11 probability probability NOUN american_scientific_journal-942 108 12 distribution distribution NOUN american_scientific_journal-942 108 13 ๐น ๐น PROPN american_scientific_journal-942 108 14 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 108 15 , , PUNCT american_scientific_journal-942 108 16 putting put VERB american_scientific_journal-942 108 17 mass mass NOUN american_scientific_journal-942 108 18 1 1 NUM american_scientific_journal-942 108 19 ๐‘› ๐‘› NOUN american_scientific_journal-942 108 20 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 108 21 at at ADP american_scientific_journal-942 108 22 each each DET american_scientific_journal-942 108 23 point point NOUN american_scientific_journal-942 108 24 ๐‘ฅ1 ๐‘ฅ1 PROPN american_scientific_journal-942 108 25 , , PUNCT american_scientific_journal-942 108 26 โ€ฆ โ€ฆ PUNCT american_scientific_journal-942 108 27 ๐‘ฅ๐‘› ๐‘ฅ๐‘› X american_scientific_journal-942 108 28 . . PUNCT american_scientific_journal-942 109 1 ๐น ๐น PROPN american_scientific_journal-942 109 2 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 109 3 is be AUX american_scientific_journal-942 109 4 an an DET american_scientific_journal-942 109 5 empirical empirical ADJ american_scientific_journal-942 109 6 distribution distribution NOUN american_scientific_journal-942 109 7 function function NOUN american_scientific_journal-942 109 8 ( ( PUNCT american_scientific_journal-942 109 9 ๐ธ๐ท๐น ๐ธ๐ท๐น NOUN american_scientific_journal-942 109 10 ) ) PUNCT american_scientific_journal-942 109 11 . . PUNCT american_scientific_journal-942 110 1 2 2 X american_scientific_journal-942 110 2 . . X american_scientific_journal-942 110 3 stratify stratify VERB american_scientific_journal-942 110 4 the the DET american_scientific_journal-942 110 5 sample sample NOUN american_scientific_journal-942 110 6 into into ADP american_scientific_journal-942 110 7 ๐‘Ÿ ๐‘Ÿ DET american_scientific_journal-942 110 8 strata strata NOUN american_scientific_journal-942 110 9 , , PUNCT american_scientific_journal-942 110 10 based base VERB american_scientific_journal-942 110 11 on on ADP american_scientific_journal-942 110 12 rank rank NOUN american_scientific_journal-942 110 13 of of ADP american_scientific_journal-942 110 14 individual individual ADJ american_scientific_journal-942 110 15 ๐‘ฅโ€™๐‘ . ๐‘ฅโ€™๐‘ . NUM american_scientific_journal-942 110 16 147 147 NUM american_scientific_journal-942 110 17 american american PROPN american_scientific_journal-942 110 18 scientific scientific ADJ american_scientific_journal-942 110 19 research research NOUN american_scientific_journal-942 110 20 journal journal NOUN american_scientific_journal-942 110 21 for for ADP american_scientific_journal-942 110 22 engineering engineering NOUN american_scientific_journal-942 110 23 , , PUNCT american_scientific_journal-942 110 24 technology technology NOUN american_scientific_journal-942 110 25 , , PUNCT american_scientific_journal-942 110 26 and and CCONJ american_scientific_journal-942 110 27 sciences science NOUN american_scientific_journal-942 110 28 ( ( PUNCT american_scientific_journal-942 110 29 asrjets asrjet NOUN american_scientific_journal-942 110 30 ) ) PUNCT american_scientific_journal-942 110 31 ( ( PUNCT american_scientific_journal-942 110 32 2015 2015 NUM american_scientific_journal-942 110 33 ) ) PUNCT american_scientific_journal-942 110 34 volume volume NOUN american_scientific_journal-942 110 35 14 14 NUM american_scientific_journal-942 110 36 , , PUNCT american_scientific_journal-942 110 37 no no DET american_scientific_journal-942 110 38 1 1 NUM american_scientific_journal-942 110 39 , , PUNCT american_scientific_journal-942 110 40 pp pp ADV american_scientific_journal-942 110 41 142 142 NUM american_scientific_journal-942 110 42 - - SYM american_scientific_journal-942 110 43 155 155 NUM american_scientific_journal-942 110 44 3 3 NUM american_scientific_journal-942 110 45 . . PUNCT american_scientific_journal-942 111 1 fix fix VERB american_scientific_journal-942 111 2 ๐ป๐‘› ๐ป๐‘› ADJ american_scientific_journal-942 111 3 , , PUNCT american_scientific_journal-942 111 4 as as SCONJ american_scientific_journal-942 111 5 described describe VERB american_scientific_journal-942 111 6 in in ADP american_scientific_journal-942 111 7 decomposition decomposition NOUN american_scientific_journal-942 111 8 of of ADP american_scientific_journal-942 111 9 empirical empirical ADJ american_scientific_journal-942 111 10 distribution distribution NOUN american_scientific_journal-942 111 11 . . PUNCT american_scientific_journal-942 112 1 4 4 X american_scientific_journal-942 112 2 . . X american_scientific_journal-942 112 3 with with ADP american_scientific_journal-942 112 4 ๐ป๐‘› ๐ป๐‘› ADJ american_scientific_journal-942 112 5 fixed fix VERB american_scientific_journal-942 112 6 , , PUNCT american_scientific_journal-942 112 7 draw draw VERB american_scientific_journal-942 112 8 a a DET american_scientific_journal-942 112 9 random random ADJ american_scientific_journal-942 112 10 sample sample NOUN american_scientific_journal-942 112 11 of of ADP american_scientific_journal-942 112 12 size size NOUN american_scientific_journal-942 112 13 ๐‘› ๐‘› PROPN american_scientific_journal-942 112 14 ; ; PUNCT american_scientific_journal-942 112 15 ๐‘› ๐‘› PRON american_scientific_journal-942 112 16 โƒ› โƒ› NOUN american_scientific_journal-942 112 17 < < X american_scientific_journal-942 112 18 n n CCONJ american_scientific_journal-942 112 19 , , PUNCT american_scientific_journal-942 112 20 with with ADP american_scientific_journal-942 112 21 replacement replacement NOUN american_scientific_journal-942 112 22 from from ADP american_scientific_journal-942 112 23 ๐ป๐‘› ๐ป๐‘› ADJ american_scientific_journal-942 112 24 , , PUNCT american_scientific_journal-942 112 25 proportionally proportionally ADV american_scientific_journal-942 112 26 from from ADP american_scientific_journal-942 112 27 each each DET american_scientific_journal-942 112 28 stratum stratum NOUN american_scientific_journal-942 112 29 with with ADP american_scientific_journal-942 112 30 respect respect NOUN american_scientific_journal-942 112 31 to to ADP american_scientific_journal-942 112 32 ๐‘›๐‘Ÿ ๐‘›๐‘Ÿ ADP american_scientific_journal-942 112 33 ๐‘› ๐‘› PROPN american_scientific_journal-942 112 34 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 112 35 . . PUNCT american_scientific_journal-942 113 1 this this PRON american_scientific_journal-942 113 2 is be AUX american_scientific_journal-942 113 3 the the DET american_scientific_journal-942 113 4 bootstrap bootstrap NOUN american_scientific_journal-942 113 5 sample sample NOUN american_scientific_journal-942 113 6 ( ( PUNCT american_scientific_journal-942 113 7 say say VERB american_scientific_journal-942 113 8 ๐‘‹ ๐‘‹ NOUN american_scientific_journal-942 113 9 โˆ— โˆ— NOUN american_scientific_journal-942 113 10 = = SYM american_scientific_journal-942 113 11 ๐‘ฅโˆ— ๐‘ฅโˆ— PROPN american_scientific_journal-942 113 12 ) ) PUNCT american_scientific_journal-942 113 13 . . PUNCT american_scientific_journal-942 114 1 5 5 X american_scientific_journal-942 114 2 . . NUM american_scientific_journal-942 114 3 approximate approximate VERB american_scientific_journal-942 114 4 the the DET american_scientific_journal-942 114 5 sampling sample VERB american_scientific_journal-942 114 6 distribution distribution NOUN american_scientific_journal-942 114 7 of of ADP american_scientific_journal-942 114 8 ๐ป๐‘› ๐ป๐‘› PROPN american_scientific_journal-942 114 9 by by ADP american_scientific_journal-942 114 10 the the DET american_scientific_journal-942 114 11 bootstrapping bootstrappe VERB american_scientific_journal-942 114 12 distribution distribution NOUN american_scientific_journal-942 114 13 ๐ปโˆ— ๐ปโˆ— NOUN american_scientific_journal-942 114 14 = = SYM american_scientific_journal-942 115 1 ๐ป๐‘› ๐ป๐‘› PROPN american_scientific_journal-942 115 2 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 115 3 ๐‘‹โˆ—,๐น ๐‘‹โˆ—,๐น PROPN american_scientific_journal-942 115 4 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 115 5 ๐‘› ๐‘› PROPN american_scientific_journal-942 115 6 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 115 7 . . PROPN american_scientific_journal-942 116 1 6 6 NUM american_scientific_journal-942 116 2 . . NUM american_scientific_journal-942 116 3 repeated repeat VERB american_scientific_journal-942 116 4 realizations realization NOUN american_scientific_journal-942 116 5 of of ADP american_scientific_journal-942 116 6 ๐‘‹โˆ— ๐‘‹โˆ— ADJ american_scientific_journal-942 116 7 are be AUX american_scientific_journal-942 116 8 generated generate VERB american_scientific_journal-942 116 9 , , PUNCT american_scientific_journal-942 116 10 producing produce VERB american_scientific_journal-942 116 11 ๐‘‹๐‘˜โˆ— ๐‘‹๐‘˜โˆ— NOUN american_scientific_journal-942 116 12 (= (= X american_scientific_journal-942 116 13 ๐‘ฅ1โˆ— ๐‘ฅ1โˆ— PRON american_scientific_journal-942 116 14 , , PUNCT american_scientific_journal-942 116 15 ๐‘ฅ2โˆ— ๐‘ฅ2โˆ— NUM american_scientific_journal-942 116 16 , , PUNCT american_scientific_journal-942 116 17 ๐‘ฅ3โˆ— ๐‘ฅ3โˆ— NUM american_scientific_journal-942 116 18 , , PUNCT american_scientific_journal-942 116 19 โ€ฆ โ€ฆ PUNCT american_scientific_journal-942 116 20 . . PUNCT american_scientific_journal-942 116 21 .. .. PUNCT american_scientific_journal-942 117 1 ๐‘ฅ๐‘›โˆ— ๐‘ฅ๐‘›โˆ— PROPN american_scientific_journal-942 117 2 ) ) PUNCT american_scientific_journal-942 117 3 , , PUNCT american_scientific_journal-942 117 4 such such ADJ american_scientific_journal-942 117 5 that that SCONJ american_scientific_journal-942 117 6 ๐‘› ๐‘› PART american_scientific_journal-942 117 7 < < X american_scientific_journal-942 117 8 ๐‘›;๐‘› ๐‘›;๐‘› X american_scientific_journal-942 117 9 โ†’ โ†’ SYM american_scientific_journal-942 117 10 โˆž โˆž PROPN american_scientific_journal-942 117 11 ๐‘Ž๐‘›๐‘‘ ๐‘Ž๐‘›๐‘‘ ADJ american_scientific_journal-942 117 12 ๐‘› ๐‘› PROPN american_scientific_journal-942 117 13 ๐‘› ๐‘› PROPN american_scientific_journal-942 117 14 โ†’ โ†’ SYM american_scientific_journal-942 117 15 0 0 NUM american_scientific_journal-942 117 16 ๐‘Ž๐‘  ๐‘Ž๐‘  PROPN american_scientific_journal-942 117 17 ๐‘› ๐‘› PROPN american_scientific_journal-942 117 18 โ†’ โ†’ SYM american_scientific_journal-942 117 19 โˆž โˆž NUM american_scientific_journal-942 117 20 . . PUNCT american_scientific_journal-942 118 1 where where SCONJ american_scientific_journal-942 118 2 ๐‘‹๐‘˜โˆ— ๐‘‹๐‘˜โˆ— NOUN american_scientific_journal-942 118 3 = = SYM american_scientific_journal-942 118 4 ๐‘‹1โˆ— ๐‘‹1โˆ— PROPN american_scientific_journal-942 118 5 , , PUNCT american_scientific_journal-942 118 6 ๐‘‹2โˆ— ๐‘‹2โˆ— PROPN american_scientific_journal-942 118 7 , , PUNCT american_scientific_journal-942 118 8 โ€ฆ โ€ฆ PUNCT american_scientific_journal-942 118 9 . . PUNCT american_scientific_journal-942 118 10 .. .. PUNCT american_scientific_journal-942 119 1 ๐‘‹1000โˆ— ๐‘‹1000โˆ— INTJ american_scientific_journal-942 119 2 . . PUNCT american_scientific_journal-942 120 1 ( ( PUNCT american_scientific_journal-942 120 2 i.e. i.e. X american_scientific_journal-942 120 3 ๐‘˜ ๐‘˜ DET american_scientific_journal-942 120 4 independent independent ADJ american_scientific_journal-942 120 5 bootstrap bootstrap NOUN american_scientific_journal-942 120 6 samples sample NOUN american_scientific_journal-942 120 7 , , PUNCT american_scientific_journal-942 120 8 each each PRON american_scientific_journal-942 120 9 consisting consist VERB american_scientific_journal-942 120 10 of of ADP american_scientific_journal-942 120 11 ๐‘› ๐‘› DET american_scientific_journal-942 120 12 data datum NOUN american_scientific_journal-942 120 13 drawn draw VERB american_scientific_journal-942 120 14 with with ADP american_scientific_journal-942 120 15 replacement replacement NOUN american_scientific_journal-942 120 16 ) ) PUNCT american_scientific_journal-942 120 17 . . PUNCT american_scientific_journal-942 121 1 evaluating evaluate VERB american_scientific_journal-942 121 2 ๐‘‹โˆ— ๐‘‹โˆ— ADJ american_scientific_journal-942 121 3 will will AUX american_scientific_journal-942 121 4 produce produce VERB american_scientific_journal-942 121 5 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 121 6 ๏ฟฝ ๏ฟฝ X american_scientific_journal-942 121 7 โˆ—. โˆ—. PROPN american_scientific_journal-942 121 8 7 7 NUM american_scientific_journal-942 121 9 . . PUNCT american_scientific_journal-942 122 1 having having AUX american_scientific_journal-942 122 2 chosen choose VERB american_scientific_journal-942 122 3 a a DET american_scientific_journal-942 122 4 particular particular ADJ american_scientific_journal-942 122 5 ๐œƒ ๐œƒ X american_scientific_journal-942 122 6 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 122 7 ( ( PUNCT american_scientific_journal-942 122 8 say say VERB american_scientific_journal-942 122 9 the the DET american_scientific_journal-942 122 10 mean mean NOUN american_scientific_journal-942 122 11 ) ) PUNCT american_scientific_journal-942 122 12 , , PUNCT american_scientific_journal-942 122 13 obtain obtain VERB american_scientific_journal-942 122 14 empirical empirical ADJ american_scientific_journal-942 122 15 bootstrap bootstrap NOUN american_scientific_journal-942 122 16 distribution distribution NOUN american_scientific_journal-942 122 17 of of ADP american_scientific_journal-942 122 18 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 122 19 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 122 20 โˆ— โˆ— NOUN american_scientific_journal-942 122 21 ; ; PUNCT american_scientific_journal-942 122 22 ( ( PUNCT american_scientific_journal-942 122 23 ๐œƒ ๐œƒ X american_scientific_journal-942 122 24 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 122 25 1โˆ— 1โˆ— NUM american_scientific_journal-942 122 26 , , PUNCT american_scientific_journal-942 122 27 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 122 28 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 122 29 2โˆ— 2โˆ— NUM american_scientific_journal-942 122 30 , , PUNCT american_scientific_journal-942 122 31 โ€ฆ โ€ฆ PUNCT american_scientific_journal-942 122 32 . . PUNCT american_scientific_journal-942 123 1 .. .. PUNCT american_scientific_journal-942 124 1 ๐œƒ ๐œƒ X american_scientific_journal-942 124 2 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 124 3 1000โˆ— 1000โˆ— NUM american_scientific_journal-942 124 4 ) ) PUNCT american_scientific_journal-942 124 5 . . PUNCT american_scientific_journal-942 125 1 precision precision NOUN american_scientific_journal-942 125 2 of of ADP american_scientific_journal-942 125 3 the the DET american_scientific_journal-942 125 4 estimator estimator NOUN american_scientific_journal-942 125 5 could could AUX american_scientific_journal-942 125 6 be be AUX american_scientific_journal-942 125 7 tested test VERB american_scientific_journal-942 125 8 by by ADP american_scientific_journal-942 125 9 obtaining obtain VERB american_scientific_journal-942 125 10 : : PUNCT american_scientific_journal-942 125 11 ( ( PUNCT american_scientific_journal-942 125 12 i i NOUN american_scientific_journal-942 125 13 ) ) PUNCT american_scientific_journal-942 125 14 bootstrap bootstrap NOUN american_scientific_journal-942 125 15 estimate estimate NOUN american_scientific_journal-942 125 16 of of ADP american_scientific_journal-942 125 17 standard standard ADJ american_scientific_journal-942 125 18 errors error NOUN american_scientific_journal-942 125 19 : : PUNCT american_scientific_journal-942 125 20 after after ADP american_scientific_journal-942 125 21 evaluating evaluate VERB american_scientific_journal-942 125 22 the the DET american_scientific_journal-942 125 23 corresponding correspond VERB american_scientific_journal-942 125 24 bootstrap bootstrap NOUN american_scientific_journal-942 125 25 replications replication NOUN american_scientific_journal-942 125 26 , , PUNCT american_scientific_journal-942 125 27 estimate estimate VERB american_scientific_journal-942 125 28 the the DET american_scientific_journal-942 125 29 standard standard ADJ american_scientific_journal-942 125 30 error error NOUN american_scientific_journal-942 125 31 of of ADP american_scientific_journal-942 125 32 ๐œƒ ๐œƒ PROPN american_scientific_journal-942 125 33 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 125 34 by by ADP american_scientific_journal-942 125 35 the the DET american_scientific_journal-942 125 36 empirical empirical ADJ american_scientific_journal-942 125 37 standard standard ADJ american_scientific_journal-942 125 38 deviation deviation NOUN american_scientific_journal-942 125 39 of of ADP american_scientific_journal-942 125 40 the the DET american_scientific_journal-942 125 41 ๐‘˜ ๐‘˜ PROPN american_scientific_journal-942 125 42 replications replication NOUN american_scientific_journal-942 125 43 , , PUNCT american_scientific_journal-942 125 44 the the DET american_scientific_journal-942 125 45 bootstrap bootstrap NOUN american_scientific_journal-942 125 46 estimate estimate NOUN american_scientific_journal-942 125 47 of of ADP american_scientific_journal-942 125 48 the the DET american_scientific_journal-942 125 49 standard standard ADJ american_scientific_journal-942 125 50 error error NOUN american_scientific_journal-942 125 51 denoted denote VERB american_scientific_journal-942 125 52 by by ADP american_scientific_journal-942 125 53 ๐‘ ๐‘’ ๐‘ ๐‘’ PROPN american_scientific_journal-942 125 54 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 125 55 ๐œƒ ๐œƒ SYM american_scientific_journal-942 125 56 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 125 57 โˆ— โˆ— NOUN american_scientific_journal-942 125 58 is be AUX american_scientific_journal-942 125 59 ๐‘ ๐‘’ ๐‘ ๐‘’ VERB american_scientific_journal-942 125 60 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 125 61 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 125 62 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 125 63 โˆ— โˆ— NOUN american_scientific_journal-942 125 64 = = SYM american_scientific_journal-942 125 65 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 125 66 โˆ‘ โˆ‘ SYM american_scientific_journal-942 125 67 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 125 68 ๐œƒ ๐œƒ SYM american_scientific_journal-942 125 69 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 125 70 ๐‘˜โˆ— ๐‘˜โˆ— ADJ american_scientific_journal-942 125 71 โˆ’ โˆ’ PROPN american_scientific_journal-942 125 72 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 125 73 ฬ… ฬ… NOUN american_scientific_journal-942 125 74 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 125 75 โˆ— โˆ— NOUN american_scientific_journal-942 125 76 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 126 1 2๐พ 2๐พ ADJ american_scientific_journal-942 126 2 ๐‘˜=1 ๐‘˜=1 PROPN american_scientific_journal-942 126 3 ๐พ ๐พ NOUN american_scientific_journal-942 126 4 โˆ’ โˆ’ PROPN american_scientific_journal-942 126 5 1 1 NUM american_scientific_journal-942 126 6 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 126 7 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 126 8 1/2 1/2 NUM american_scientific_journal-942 127 1 [ [ X american_scientific_journal-942 127 2 1 1 NUM american_scientific_journal-942 127 3 ] ] PUNCT american_scientific_journal-942 127 4 where where SCONJ american_scientific_journal-942 127 5 : : PUNCT american_scientific_journal-942 127 6 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 127 7 ฬ… ฬ… NOUN american_scientific_journal-942 127 8 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 127 9 โˆ— โˆ— NOUN american_scientific_journal-942 127 10 = = SYM american_scientific_journal-942 127 11 โˆ‘ โˆ‘ PUNCT american_scientific_journal-942 127 12 ๐œƒ ๐œƒ SYM american_scientific_journal-942 127 13 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 127 14 ๐‘˜โˆ—๐พ ๐‘˜โˆ—๐พ PART american_scientific_journal-942 127 15 ๐‘˜=1 ๐‘˜=1 PROPN american_scientific_journal-942 127 16 ๐พ ๐พ PROPN american_scientific_journal-942 127 17 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 127 18 the the DET american_scientific_journal-942 127 19 limit limit NOUN american_scientific_journal-942 127 20 of of ADP american_scientific_journal-942 127 21 ๐‘ ๐‘’ ๐‘ ๐‘’ NOUN american_scientific_journal-942 127 22 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 127 23 ๐œƒ ๐œƒ SYM american_scientific_journal-942 127 24 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 127 25 โˆ— โˆ— NOUN american_scientific_journal-942 127 26 as as SCONJ american_scientific_journal-942 127 27 ๐พ ๐พ PROPN american_scientific_journal-942 127 28 goes go VERB american_scientific_journal-942 127 29 to to ADP american_scientific_journal-942 127 30 infinity infinity NOUN american_scientific_journal-942 127 31 is be AUX american_scientific_journal-942 127 32 the the DET american_scientific_journal-942 127 33 ideal ideal ADJ american_scientific_journal-942 127 34 bootstrap bootstrap NOUN american_scientific_journal-942 127 35 estimate estimate NOUN american_scientific_journal-942 127 36 of of ADP american_scientific_journal-942 127 37 ๐‘ ๐‘’ ๐‘ ๐‘’ PROPN american_scientific_journal-942 127 38 ๐œƒ ๐œƒ X american_scientific_journal-942 127 39 : : PUNCT american_scientific_journal-942 127 40 lim๐‘˜โ†’โˆž lim๐‘˜โ†’โˆž PROPN american_scientific_journal-942 127 41 ๐‘ ๐‘’ ๐‘ ๐‘’ PROPN american_scientific_journal-942 127 42 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 127 43 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 127 44 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 127 45 โˆ— โˆ— NOUN american_scientific_journal-942 127 46 = = SYM american_scientific_journal-942 127 47 ๐‘ ๐‘’ ๐‘ ๐‘’ PROPN american_scientific_journal-942 127 48 ๐œƒ ๐œƒ PROPN american_scientific_journal-942 127 49 ( ( PUNCT american_scientific_journal-942 127 50 ii ii NOUN american_scientific_journal-942 127 51 ) ) PUNCT american_scientific_journal-942 127 52 bootstrap bootstrap NOUN american_scientific_journal-942 127 53 estimate estimate NOUN american_scientific_journal-942 127 54 of of ADP american_scientific_journal-942 127 55 coefficient coefficient NOUN american_scientific_journal-942 127 56 variation variation NOUN american_scientific_journal-942 127 57 : : PUNCT american_scientific_journal-942 127 58 the the DET american_scientific_journal-942 127 59 coefficient coefficient NOUN american_scientific_journal-942 127 60 of of ADP american_scientific_journal-942 127 61 variation variation NOUN american_scientific_journal-942 127 62 of of ADP american_scientific_journal-942 127 63 a a DET american_scientific_journal-942 127 64 random random ADJ american_scientific_journal-942 127 65 variable variable NOUN american_scientific_journal-942 127 66 is be AUX american_scientific_journal-942 127 67 defined define VERB american_scientific_journal-942 127 68 to to PART american_scientific_journal-942 127 69 be be AUX american_scientific_journal-942 127 70 the the DET american_scientific_journal-942 127 71 ratio ratio NOUN american_scientific_journal-942 127 72 of of ADP american_scientific_journal-942 127 73 its its PRON american_scientific_journal-942 127 74 standard standard ADJ american_scientific_journal-942 127 75 error error NOUN american_scientific_journal-942 127 76 to to ADP american_scientific_journal-942 127 77 the the DET american_scientific_journal-942 127 78 absolute absolute ADJ american_scientific_journal-942 127 79 value value NOUN american_scientific_journal-942 127 80 of of ADP american_scientific_journal-942 127 81 its its PRON american_scientific_journal-942 127 82 mean mean NOUN american_scientific_journal-942 127 83 . . PUNCT american_scientific_journal-942 128 1 the the DET american_scientific_journal-942 128 2 bootstrap bootstrap NOUN american_scientific_journal-942 128 3 coefficient coefficient NOUN american_scientific_journal-942 128 4 of of ADP american_scientific_journal-942 128 5 variation variation NOUN american_scientific_journal-942 128 6 denoted denote VERB american_scientific_journal-942 128 7 by by ADP american_scientific_journal-942 128 8 cv cv PROPN american_scientific_journal-942 128 9 ( ( PUNCT american_scientific_journal-942 128 10 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 128 11 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 128 12 โˆ— โˆ— NOUN american_scientific_journal-942 128 13 ) ) PUNCT american_scientific_journal-942 128 14 refers refer VERB american_scientific_journal-942 128 15 to to ADP american_scientific_journal-942 128 16 the the DET american_scientific_journal-942 128 17 variation variation NOUN american_scientific_journal-942 128 18 at at ADP american_scientific_journal-942 128 19 the the DET american_scientific_journal-942 128 20 resampling resample VERB american_scientific_journal-942 128 21 ( ( PUNCT american_scientific_journal-942 128 22 bootstrap bootstrap NOUN american_scientific_journal-942 128 23 ) ) PUNCT american_scientific_journal-942 128 24 level level NOUN american_scientific_journal-942 128 25 and and CCONJ american_scientific_journal-942 128 26 at at ADP american_scientific_journal-942 128 27 population population NOUN american_scientific_journal-942 128 28 sampling sample VERB american_scientific_journal-942 128 29 level level NOUN american_scientific_journal-942 128 30 . . PUNCT american_scientific_journal-942 129 1 cv cv PROPN american_scientific_journal-942 129 2 ( ( PUNCT american_scientific_journal-942 129 3 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 129 4 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 129 5 โˆ— โˆ— NOUN american_scientific_journal-942 129 6 ) ) PUNCT american_scientific_journal-942 129 7 = = SYM american_scientific_journal-942 129 8 ๐‘ ๐‘’ ๐‘ ๐‘’ PROPN american_scientific_journal-942 129 9 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 129 10 ๐œƒ ๐œƒ PROPN american_scientific_journal-942 129 11 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 129 12 โˆ— โˆ— NOUN american_scientific_journal-942 129 13 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 129 14 ฬ… ฬ… NOUN american_scientific_journal-942 129 15 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 129 16 โˆ— โˆ— NOUN american_scientific_journal-942 129 17 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 129 18 ( ( PUNCT american_scientific_journal-942 129 19 iii iii NOUN american_scientific_journal-942 129 20 ) ) PUNCT american_scientific_journal-942 129 21 bootstrap bootstrap NOUN american_scientific_journal-942 129 22 estimate estimate NOUN american_scientific_journal-942 129 23 of of ADP american_scientific_journal-942 129 24 bias bias NOUN american_scientific_journal-942 129 25 ; ; PUNCT american_scientific_journal-942 129 26 bias bias NOUN american_scientific_journal-942 129 27 is be AUX american_scientific_journal-942 129 28 the the DET american_scientific_journal-942 129 29 difference difference NOUN american_scientific_journal-942 129 30 between between ADP american_scientific_journal-942 129 31 the the DET american_scientific_journal-942 129 32 expectation expectation NOUN american_scientific_journal-942 129 33 of of ADP american_scientific_journal-942 129 34 an an DET american_scientific_journal-942 129 35 estimator estimator NOUN american_scientific_journal-942 129 36 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 129 37 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 129 38 and and CCONJ american_scientific_journal-942 129 39 the the DET american_scientific_journal-942 129 40 quantity quantity NOUN american_scientific_journal-942 129 41 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 129 42 being be AUX american_scientific_journal-942 129 43 estimated estimate VERB american_scientific_journal-942 129 44 . . PUNCT american_scientific_journal-942 130 1 the the DET american_scientific_journal-942 130 2 bootstrap bootstrap NOUN american_scientific_journal-942 130 3 estimate estimate NOUN american_scientific_journal-942 130 4 of of ADP american_scientific_journal-942 130 5 bias bias NOUN american_scientific_journal-942 130 6 based base VERB american_scientific_journal-942 130 7 on on ADP american_scientific_journal-942 130 8 the the DET american_scientific_journal-942 130 9 ๐‘˜ ๐‘˜ PROPN american_scientific_journal-942 130 10 replications replication NOUN american_scientific_journal-942 130 11 is be AUX american_scientific_journal-942 130 12 : : PUNCT american_scientific_journal-942 130 13 ๐ต๐šค๐‘Ž๐‘  ๐ต๐šค๐‘Ž๐‘  PROPN american_scientific_journal-942 130 14 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 15 = = SYM american_scientific_journal-942 130 16 โˆ‘ โˆ‘ PUNCT american_scientific_journal-942 130 17 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 18 ๐œƒ ๐œƒ SYM american_scientific_journal-942 130 19 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 130 20 ๐‘˜โˆ— ๐‘˜โˆ— ADJ american_scientific_journal-942 130 21 โˆ’ โˆ’ PROPN american_scientific_journal-942 130 22 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 130 23 ฬ… ฬ… NOUN american_scientific_journal-942 130 24 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 130 25 โˆ— โˆ— NOUN american_scientific_journal-942 130 26 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 130 27 ๐พ ๐พ PROPN american_scientific_journal-942 130 28 ๐‘˜=1 ๐‘˜=1 PROPN american_scientific_journal-942 130 29 ๐พ ๐พ PROPN american_scientific_journal-942 130 30 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 31 148 148 NUM american_scientific_journal-942 130 32 american american ADJ american_scientific_journal-942 130 33 scientific scientific ADJ american_scientific_journal-942 130 34 research research NOUN american_scientific_journal-942 130 35 journal journal NOUN american_scientific_journal-942 130 36 for for ADP american_scientific_journal-942 130 37 engineering engineering NOUN american_scientific_journal-942 130 38 , , PUNCT american_scientific_journal-942 130 39 technology technology NOUN american_scientific_journal-942 130 40 , , PUNCT american_scientific_journal-942 130 41 and and CCONJ american_scientific_journal-942 130 42 sciences science NOUN american_scientific_journal-942 130 43 ( ( PUNCT american_scientific_journal-942 130 44 asrjets asrjet NOUN american_scientific_journal-942 130 45 ) ) PUNCT american_scientific_journal-942 130 46 ( ( PUNCT american_scientific_journal-942 130 47 2015 2015 NUM american_scientific_journal-942 130 48 ) ) PUNCT american_scientific_journal-942 130 49 volume volume NOUN american_scientific_journal-942 130 50 14 14 NUM american_scientific_journal-942 130 51 , , PUNCT american_scientific_journal-942 130 52 no no DET american_scientific_journal-942 130 53 1 1 NUM american_scientific_journal-942 130 54 , , PUNCT american_scientific_journal-942 130 55 pp pp ADV american_scientific_journal-942 130 56 142 142 NUM american_scientific_journal-942 130 57 - - SYM american_scientific_journal-942 130 58 155 155 NUM american_scientific_journal-942 130 59 where where SCONJ american_scientific_journal-942 130 60 : : PUNCT american_scientific_journal-942 130 61 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 62 ฬ… ฬ… NOUN american_scientific_journal-942 130 63 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 130 64 โˆ— โˆ— NOUN american_scientific_journal-942 130 65 = = SYM american_scientific_journal-942 130 66 โˆ‘ โˆ‘ PUNCT american_scientific_journal-942 130 67 ๐œƒ ๐œƒ SYM american_scientific_journal-942 130 68 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 69 ๐‘˜โˆ—๐พ ๐‘˜โˆ—๐พ PART american_scientific_journal-942 130 70 ๐‘˜=1 ๐‘˜=1 PROPN american_scientific_journal-942 130 71 ๐พ ๐พ PROPN american_scientific_journal-942 130 72 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 73 ( ( PUNCT american_scientific_journal-942 130 74 iv iv X american_scientific_journal-942 130 75 ) ) PUNCT american_scientific_journal-942 130 76 the the DET american_scientific_journal-942 130 77 rmse rmse NOUN american_scientific_journal-942 130 78 of of ADP american_scientific_journal-942 130 79 an an DET american_scientific_journal-942 130 80 estimator estimator NOUN american_scientific_journal-942 130 81 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 130 82 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 83 for for ADP american_scientific_journal-942 130 84 ๐œƒ ๐œƒ PROPN american_scientific_journal-942 130 85 , , PUNCT american_scientific_journal-942 130 86 is be AUX american_scientific_journal-942 130 87 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 88 ๐ธ ๐ธ PROPN american_scientific_journal-942 130 89 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 90 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 91 ๐œƒ ๐œƒ NOUN american_scientific_journal-942 130 92 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 93 โˆ’ โˆ’ ADP american_scientific_journal-942 130 94 ๐œƒ ๐œƒ SYM american_scientific_journal-942 130 95 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 96 2 2 NUM american_scientific_journal-942 130 97 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 98 = = SYM american_scientific_journal-942 130 99 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 100 ๐‘ ๐‘’ ๐‘ ๐‘’ PROPN american_scientific_journal-942 130 101 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 102 ๐œƒ ๐œƒ SYM american_scientific_journal-942 130 103 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 130 104 ๏ฟฝ ๏ฟฝ ADJ american_scientific_journal-942 130 105 2 2 NUM american_scientific_journal-942 130 106 + + NUM american_scientific_journal-942 130 107 ๐‘๐‘–๐‘Ž๐‘  ๐‘๐‘–๐‘Ž๐‘  PROPN american_scientific_journal-942 130 108 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 109 ๐œƒ ๐œƒ SYM american_scientific_journal-942 130 110 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 111 ,๐œƒ ,๐œƒ PUNCT american_scientific_journal-942 130 112 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 113 2 2 NUM american_scientific_journal-942 130 114 = = SYM american_scientific_journal-942 130 115 ๐‘ ๐‘’ ๐‘ ๐‘’ PROPN american_scientific_journal-942 130 116 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 117 ๐œƒ ๐œƒ SYM american_scientific_journal-942 130 118 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 119 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 120 . . PUNCT american_scientific_journal-942 130 121 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 122 1 1 NUM american_scientific_journal-942 130 123 + + NUM american_scientific_journal-942 130 124 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-942 130 125 ๐‘๐‘–๐‘Ž๐‘  ๐‘๐‘–๐‘Ž๐‘  NOUN american_scientific_journal-942 130 126 ๐‘ ๐‘’ ๐‘ ๐‘’ PROPN american_scientific_journal-942 130 127 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 130 128 2 2 NUM american_scientific_journal-942 130 129 when when SCONJ american_scientific_journal-942 130 130 ๐‘๐‘–๐‘Ž๐‘  ๐‘๐‘–๐‘Ž๐‘  NOUN american_scientific_journal-942 130 131 = = SYM american_scientific_journal-942 130 132 0 0 NUM american_scientific_journal-942 130 133 , , PUNCT american_scientific_journal-942 130 134 then then ADV american_scientific_journal-942 130 135 rmse rmse NOUN american_scientific_journal-942 130 136 = = SYM american_scientific_journal-942 130 137 se se X american_scientific_journal-942 130 138 ( ( PUNCT american_scientific_journal-942 130 139 minimum minimum NOUN american_scientific_journal-942 130 140 value value NOUN american_scientific_journal-942 130 141 ) ) PUNCT american_scientific_journal-942 131 1 [ [ X american_scientific_journal-942 131 2 14 14 NUM american_scientific_journal-942 131 3 ] ] SYM american_scientific_journal-942 131 4 . . PUNCT american_scientific_journal-942 132 1 2.6 2.6 NUM american_scientific_journal-942 132 2 . . PUNCT american_scientific_journal-942 132 3 simulation simulation NOUN american_scientific_journal-942 132 4 study study NOUN american_scientific_journal-942 132 5 this this DET american_scientific_journal-942 132 6 study study NOUN american_scientific_journal-942 132 7 makes make VERB american_scientific_journal-942 132 8 use use NOUN american_scientific_journal-942 132 9 of of ADP american_scientific_journal-942 132 10 simulated simulate VERB american_scientific_journal-942 132 11 data data NOUN american_scientific_journal-942 132 12 sets set NOUN american_scientific_journal-942 132 13 drawn draw VERB american_scientific_journal-942 132 14 from from ADP american_scientific_journal-942 132 15 the the DET american_scientific_journal-942 132 16 singh singh ADJ american_scientific_journal-942 132 17 - - PUNCT american_scientific_journal-942 132 18 maddala maddala NOUN american_scientific_journal-942 132 19 distribution distribution NOUN american_scientific_journal-942 132 20 , , PUNCT american_scientific_journal-942 132 21 which which PRON american_scientific_journal-942 132 22 can can AUX american_scientific_journal-942 132 23 quite quite ADV american_scientific_journal-942 132 24 successfully successfully ADV american_scientific_journal-942 132 25 mimic mimic VERB american_scientific_journal-942 132 26 observed observed ADJ american_scientific_journal-942 132 27 income income NOUN american_scientific_journal-942 132 28 distributions distribution NOUN american_scientific_journal-942 132 29 in in ADP american_scientific_journal-942 132 30 various various ADJ american_scientific_journal-942 132 31 countries country NOUN american_scientific_journal-942 132 32 . . PUNCT american_scientific_journal-942 133 1 two two NUM american_scientific_journal-942 133 2 sets set NOUN american_scientific_journal-942 133 3 of of ADP american_scientific_journal-942 133 4 simulation simulation NOUN american_scientific_journal-942 133 5 were be AUX american_scientific_journal-942 133 6 done do VERB american_scientific_journal-942 133 7 for for ADP american_scientific_journal-942 133 8 large large ADJ american_scientific_journal-942 133 9 sample sample NOUN american_scientific_journal-942 133 10 and and CCONJ american_scientific_journal-942 133 11 moderate moderate ADJ american_scientific_journal-942 133 12 sample sample NOUN american_scientific_journal-942 133 13 such such ADJ american_scientific_journal-942 133 14 that that SCONJ american_scientific_journal-942 133 15 ๐‘› ๐‘› PROPN american_scientific_journal-942 133 16 is be AUX american_scientific_journal-942 133 17 15000 15000 NUM american_scientific_journal-942 133 18 and and CCONJ american_scientific_journal-942 133 19 500 500 NUM american_scientific_journal-942 133 20 respectively respectively ADV american_scientific_journal-942 133 21 . . PUNCT american_scientific_journal-942 134 1 the the DET american_scientific_journal-942 134 2 simulation simulation NOUN american_scientific_journal-942 134 3 mimic mimic VERB american_scientific_journal-942 134 4 the the DET american_scientific_journal-942 134 5 parameter parameter NOUN american_scientific_journal-942 134 6 values value NOUN american_scientific_journal-942 134 7 in in ADP american_scientific_journal-942 134 8 [ [ X american_scientific_journal-942 134 9 3 3 NUM american_scientific_journal-942 134 10 ] ] PUNCT american_scientific_journal-942 134 11 , , PUNCT american_scientific_journal-942 134 12 such such ADJ american_scientific_journal-942 134 13 that that SCONJ american_scientific_journal-942 134 14 ๐‘Ž ๐‘Ž ADJ american_scientific_journal-942 134 15 = = SYM american_scientific_journal-942 134 16 100 100 NUM american_scientific_journal-942 134 17 , , PUNCT american_scientific_journal-942 134 18 ๐‘ ๐‘ NOUN american_scientific_journal-942 134 19 = = SYM american_scientific_journal-942 134 20 2.8 2.8 NUM american_scientific_journal-942 134 21 , , PUNCT american_scientific_journal-942 134 22 ๐‘ ๐‘ NOUN american_scientific_journal-942 134 23 = = SYM american_scientific_journal-942 134 24 1.7 1.7 NUM american_scientific_journal-942 134 25 ( ( PUNCT american_scientific_journal-942 134 26 where where SCONJ american_scientific_journal-942 134 27 a a DET american_scientific_journal-942 134 28 , , PUNCT american_scientific_journal-942 134 29 b b NOUN american_scientific_journal-942 134 30 , , PUNCT american_scientific_journal-942 134 31 and and CCONJ american_scientific_journal-942 134 32 c c NOUN american_scientific_journal-942 134 33 are be AUX american_scientific_journal-942 134 34 defined define VERB american_scientific_journal-942 134 35 above above ADP american_scientific_journal-942 134 36 ) ) PUNCT american_scientific_journal-942 134 37 . . PUNCT american_scientific_journal-942 135 1 the the DET american_scientific_journal-942 135 2 values value NOUN american_scientific_journal-942 135 3 of of ADP american_scientific_journal-942 135 4 ๐‘š ๐‘š PROPN american_scientific_journal-942 135 5 and and CCONJ american_scientific_journal-942 135 6 ๐‘› ๐‘› PROPN american_scientific_journal-942 135 7 are be AUX american_scientific_journal-942 135 8 chosen choose VERB american_scientific_journal-942 135 9 as as ADP american_scientific_journal-942 135 10 20 20 NUM american_scientific_journal-942 135 11 % % NOUN american_scientific_journal-942 135 12 of of ADP american_scientific_journal-942 135 13 original original ADJ american_scientific_journal-942 135 14 ๐‘› ๐‘› PROPN american_scientific_journal-942 135 15 as as SCONJ american_scientific_journal-942 135 16 suggested suggest VERB american_scientific_journal-942 135 17 in in ADP american_scientific_journal-942 135 18 [ [ X american_scientific_journal-942 135 19 8 8 NUM american_scientific_journal-942 135 20 ] ] PUNCT american_scientific_journal-942 135 21 and and CCONJ american_scientific_journal-942 135 22 the the DET american_scientific_journal-942 135 23 values value NOUN american_scientific_journal-942 135 24 increased increase VERB american_scientific_journal-942 135 25 asymptotically asymptotically ADV american_scientific_journal-942 135 26 . . PUNCT american_scientific_journal-942 136 1 authors author NOUN american_scientific_journal-942 136 2 in in ADP american_scientific_journal-942 136 3 [ [ X american_scientific_journal-942 136 4 15 15 NUM american_scientific_journal-942 136 5 ] ] PUNCT american_scientific_journal-942 136 6 suggested suggest VERB american_scientific_journal-942 136 7 choosing choose VERB american_scientific_journal-942 136 8 replication replication NOUN american_scientific_journal-942 136 9 large large ADJ american_scientific_journal-942 136 10 enough enough ADV american_scientific_journal-942 136 11 to to PART american_scientific_journal-942 136 12 minimize minimize VERB american_scientific_journal-942 136 13 statistical statistical ADJ american_scientific_journal-942 136 14 error error NOUN american_scientific_journal-942 136 15 , , PUNCT american_scientific_journal-942 136 16 however however ADV american_scientific_journal-942 136 17 statistical statistical ADJ american_scientific_journal-942 136 18 error error NOUN american_scientific_journal-942 136 19 is be AUX american_scientific_journal-942 136 20 unavoidable unavoidable ADJ american_scientific_journal-942 136 21 in in ADP american_scientific_journal-942 136 22 most most ADJ american_scientific_journal-942 136 23 situations situation NOUN american_scientific_journal-942 136 24 . . PUNCT american_scientific_journal-942 137 1 therefore therefore ADV american_scientific_journal-942 137 2 , , PUNCT american_scientific_journal-942 137 3 the the DET american_scientific_journal-942 137 4 number number NOUN american_scientific_journal-942 137 5 of of ADP american_scientific_journal-942 137 6 bootstrap bootstrap NOUN american_scientific_journal-942 137 7 replications replication NOUN american_scientific_journal-942 137 8 chosen choose VERB american_scientific_journal-942 137 9 in in ADP american_scientific_journal-942 137 10 this this DET american_scientific_journal-942 137 11 study study NOUN american_scientific_journal-942 137 12 is be AUX american_scientific_journal-942 137 13 ๐‘˜ ๐‘˜ PRON american_scientific_journal-942 137 14 = = NOUN american_scientific_journal-942 137 15 1000 1000 NUM american_scientific_journal-942 137 16 . . PUNCT american_scientific_journal-942 138 1 3 3 X american_scientific_journal-942 138 2 . . NOUN american_scientific_journal-942 138 3 results result VERB american_scientific_journal-942 138 4 the the DET american_scientific_journal-942 138 5 results result NOUN american_scientific_journal-942 138 6 are be AUX american_scientific_journal-942 138 7 presented present VERB american_scientific_journal-942 138 8 in in ADP american_scientific_journal-942 138 9 tables table NOUN american_scientific_journal-942 138 10 1 1 NUM american_scientific_journal-942 138 11 & & CCONJ american_scientific_journal-942 138 12 2 2 NUM american_scientific_journal-942 138 13 and and CCONJ american_scientific_journal-942 138 14 figures figure NOUN american_scientific_journal-942 138 15 1 1 NUM american_scientific_journal-942 138 16 to to PART american_scientific_journal-942 138 17 8 8 NUM american_scientific_journal-942 138 18 . . PUNCT american_scientific_journal-942 139 1 figure figure NOUN american_scientific_journal-942 139 2 1 1 NUM american_scientific_journal-942 139 3 : : PUNCT american_scientific_journal-942 139 4 chart chart NOUN american_scientific_journal-942 139 5 of of ADP american_scientific_journal-942 139 6 standard standard ADJ american_scientific_journal-942 139 7 error error NOUN american_scientific_journal-942 139 8 in in ADP american_scientific_journal-942 139 9 large large ADJ american_scientific_journal-942 139 10 sample sample NOUN american_scientific_journal-942 139 11 0 0 NUM american_scientific_journal-942 139 12 0.1 0.1 NUM american_scientific_journal-942 139 13 0.2 0.2 NUM american_scientific_journal-942 139 14 0.3 0.3 NUM american_scientific_journal-942 139 15 0.4 0.4 NUM american_scientific_journal-942 139 16 0.5 0.5 NUM american_scientific_journal-942 139 17 0.6 0.6 NUM american_scientific_journal-942 139 18 0.7 0.7 NUM american_scientific_journal-942 139 19 0.8 0.8 NUM american_scientific_journal-942 139 20 0.9 0.9 NUM american_scientific_journal-942 139 21 1 1 NUM american_scientific_journal-942 139 22 0 0 NUM american_scientific_journal-942 139 23 5000 5000 NUM american_scientific_journal-942 139 24 10000 10000 NUM american_scientific_journal-942 139 25 15000 15000 NUM american_scientific_journal-942 139 26 20000 20000 NUM american_scientific_journal-942 139 27 25000 25000 NUM american_scientific_journal-942 139 28 30000 30000 NUM american_scientific_journal-942 139 29 n n PRON american_scientific_journal-942 139 30 standard standard ADJ american_scientific_journal-942 139 31 error error NOUN american_scientific_journal-942 139 32 , , PUNCT american_scientific_journal-942 139 33 l l PROPN american_scientific_journal-942 139 34 moon moon NOUN american_scientific_journal-942 139 35 mmoon mmoon NOUN american_scientific_journal-942 139 36 149 149 NUM american_scientific_journal-942 139 37 american american ADJ american_scientific_journal-942 139 38 scientific scientific ADJ american_scientific_journal-942 139 39 research research NOUN american_scientific_journal-942 139 40 journal journal NOUN american_scientific_journal-942 139 41 for for ADP american_scientific_journal-942 139 42 engineering engineering NOUN american_scientific_journal-942 139 43 , , PUNCT american_scientific_journal-942 139 44 technology technology NOUN american_scientific_journal-942 139 45 , , PUNCT american_scientific_journal-942 139 46 and and CCONJ american_scientific_journal-942 139 47 sciences science NOUN american_scientific_journal-942 139 48 ( ( PUNCT american_scientific_journal-942 139 49 asrjets asrjet NOUN american_scientific_journal-942 139 50 ) ) PUNCT american_scientific_journal-942 139 51 ( ( PUNCT american_scientific_journal-942 139 52 2015 2015 NUM american_scientific_journal-942 139 53 ) ) PUNCT american_scientific_journal-942 139 54 volume volume NOUN american_scientific_journal-942 139 55 14 14 NUM american_scientific_journal-942 139 56 , , PUNCT american_scientific_journal-942 139 57 no no DET american_scientific_journal-942 139 58 1 1 NUM american_scientific_journal-942 139 59 , , PUNCT american_scientific_journal-942 139 60 pp pp ADV american_scientific_journal-942 139 61 142 142 NUM american_scientific_journal-942 139 62 - - SYM american_scientific_journal-942 139 63 155 155 NUM american_scientific_journal-942 139 64 table table NOUN american_scientific_journal-942 139 65 1 1 NUM american_scientific_journal-942 139 66 : : PUNCT american_scientific_journal-942 139 67 summary summary NOUN american_scientific_journal-942 139 68 of of ADP american_scientific_journal-942 139 69 bootstrap bootstrap NOUN american_scientific_journal-942 139 70 estimates estimate NOUN american_scientific_journal-942 139 71 in in ADP american_scientific_journal-942 139 72 large large ADJ american_scientific_journal-942 139 73 sample sample NOUN american_scientific_journal-942 139 74 n n PRON american_scientific_journal-942 139 75 standard standard ADJ american_scientific_journal-942 139 76 error error NOUN american_scientific_journal-942 139 77 coefficient coefficient NOUN american_scientific_journal-942 139 78 of of ADP american_scientific_journal-942 139 79 variation variation NOUN american_scientific_journal-942 139 80 rmse rmse NOUN american_scientific_journal-942 139 81 absolute absolute ADJ american_scientific_journal-942 139 82 bias bias NOUN american_scientific_journal-942 139 83 moon moon PROPN american_scientific_journal-942 139 84 mmoon mmoon PROPN american_scientific_journal-942 139 85 moon moon PROPN american_scientific_journal-942 139 86 mmoon mmoon PROPN american_scientific_journal-942 139 87 moon moon PROPN american_scientific_journal-942 139 88 mmoon mmoon PROPN american_scientific_journal-942 139 89 moon moon PROPN american_scientific_journal-942 139 90 mmoon mmoon NOUN american_scientific_journal-942 139 91 3000 3000 NUM american_scientific_journal-942 139 92 0.86922 0.86922 NUM american_scientific_journal-942 139 93 0.22806 0.22806 NUM american_scientific_journal-942 139 94 0.000316 0.000316 NUM american_scientific_journal-942 139 95 8.29e-05 8.29e-05 NUM american_scientific_journal-942 139 96 0.027487 0.027487 NUM american_scientific_journal-942 139 97 0.002339 0.002339 NUM american_scientific_journal-942 139 98 9.08e-14 9.08e-14 NUM american_scientific_journal-942 139 99 1.70e-13 1.70e-13 NUM american_scientific_journal-942 139 100 4500 4500 NUM american_scientific_journal-942 139 101 0.746153 0.746153 NUM american_scientific_journal-942 139 102 0.186148 0.186148 NUM american_scientific_journal-942 139 103 0.000271 0.000271 NUM american_scientific_journal-942 139 104 6.76e-05 6.76e-05 NUM american_scientific_journal-942 139 105 0.023595 0.023595 NUM american_scientific_journal-942 139 106 0.001909 0.001909 NUM american_scientific_journal-942 139 107 3.45e-14 3.45e-14 NUM american_scientific_journal-942 139 108 8.80e-14 8.80e-14 NUM american_scientific_journal-942 139 109 6000 6000 NUM american_scientific_journal-942 139 110 0.633219 0.633219 NUM american_scientific_journal-942 139 111 0.156741 0.156741 NUM american_scientific_journal-942 139 112 0.00023 0.00023 NUM american_scientific_journal-942 139 113 5.69e-05 5.69e-05 NUM american_scientific_journal-942 139 114 0.020024 0.020024 NUM american_scientific_journal-942 139 115 0.001622 0.001622 NUM american_scientific_journal-942 139 116 1.37e-13 1.37e-13 NUM american_scientific_journal-942 139 117 2.89e-14 2.89e-14 NUM american_scientific_journal-942 139 118 7500 7500 NUM american_scientific_journal-942 139 119 0.594175 0.594175 NUM american_scientific_journal-942 139 120 0.145941 0.145941 NUM american_scientific_journal-942 139 121 0.000216 0.000216 NUM american_scientific_journal-942 139 122 5.30e-05 5.30e-05 NUM american_scientific_journal-942 139 123 0.018789 0.018789 NUM american_scientific_journal-942 139 124 0.001441 0.001441 NUM american_scientific_journal-942 139 125 8.80e-14 8.80e-14 NUM american_scientific_journal-942 139 126 8.05e-14 8.05e-14 NUM american_scientific_journal-942 139 127 9000 9000 NUM american_scientific_journal-942 139 128 0.535212 0.535212 NUM american_scientific_journal-942 139 129 0.1363 0.1363 NUM american_scientific_journal-942 139 130 0.000194 0.000194 NUM american_scientific_journal-942 139 131 4.95e-05 4.95e-05 NUM american_scientific_journal-942 139 132 0.016925 0.016925 NUM american_scientific_journal-942 139 133 0.001303 0.001303 NUM american_scientific_journal-942 139 134 2.14e-14 2.14e-14 NUM american_scientific_journal-942 139 135 5.71e-14 5.71e-14 NUM american_scientific_journal-942 139 136 10500 10500 NUM american_scientific_journal-942 139 137 0.493749 0.493749 NUM american_scientific_journal-942 139 138 0.126693 0.126693 NUM american_scientific_journal-942 139 139 0.000179 0.000179 NUM american_scientific_journal-942 139 140 4.60e-05 4.60e-05 NUM american_scientific_journal-942 139 141 0.015614 0.015614 NUM american_scientific_journal-942 140 1 0.001244 0.001244 NUM american_scientific_journal-942 140 2 5.60e-15 5.60e-15 NUM american_scientific_journal-942 140 3 1.14e-13 1.14e-13 NUM american_scientific_journal-942 140 4 12000 12000 NUM american_scientific_journal-942 140 5 0.452659 0.452659 NUM american_scientific_journal-942 140 6 0.115947 0.115947 NUM american_scientific_journal-942 140 7 0.000164 0.000164 NUM american_scientific_journal-942 140 8 4.21e-05 4.21e-05 NUM american_scientific_journal-942 140 9 0.014314 0.014314 NUM american_scientific_journal-942 140 10 0.001169 0.001169 NUM american_scientific_journal-942 140 11 7.60e-14 7.60e-14 NUM american_scientific_journal-942 140 12 1.22e-13 1.22e-13 NUM american_scientific_journal-942 140 13 13500 13500 NUM american_scientific_journal-942 140 14 0.43135 0.43135 NUM american_scientific_journal-942 140 15 0.112822 0.112822 NUM american_scientific_journal-942 140 16 0.000157 0.000157 NUM american_scientific_journal-942 140 17 4.10e-05 4.10e-05 NUM american_scientific_journal-942 140 18 0.01364 0.01364 NUM american_scientific_journal-942 140 19 0.001063 0.001063 NUM american_scientific_journal-942 140 20 3.77e-14 3.77e-14 NUM american_scientific_journal-942 140 21 1.07e-13 1.07e-13 NUM american_scientific_journal-942 140 22 15000 15000 NUM american_scientific_journal-942 140 23 0.405829 0.405829 NUM american_scientific_journal-942 140 24 0.105592 0.105592 NUM american_scientific_journal-942 140 25 0.000147 0.000147 NUM american_scientific_journal-942 140 26 3.84e-05 3.84e-05 NUM american_scientific_journal-942 140 27 0.012833 0.012833 NUM american_scientific_journal-942 140 28 0.001061 0.001061 NUM american_scientific_journal-942 140 29 5.22e-14 5.22e-14 NUM american_scientific_journal-942 140 30 1.37e-13 1.37e-13 NUM american_scientific_journal-942 140 31 16500 16500 NUM american_scientific_journal-942 140 32 0.408741 0.408741 NUM american_scientific_journal-942 140 33 0.099758 0.099758 NUM american_scientific_journal-942 140 34 0.000148 0.000148 NUM american_scientific_journal-942 140 35 3.62e-05 3.62e-05 NUM american_scientific_journal-942 140 36 0.012926 0.012926 NUM american_scientific_journal-942 140 37 0.000995 0.000995 NUM american_scientific_journal-942 140 38 4.41e-14 4.41e-14 NUM american_scientific_journal-942 140 39 2.26e-14 2.26e-14 NUM american_scientific_journal-942 140 40 18000 18000 NUM american_scientific_journal-942 140 41 0.384636 0.384636 NUM american_scientific_journal-942 140 42 0.0927 0.0927 NUM american_scientific_journal-942 140 43 0.00014 0.00014 NUM american_scientific_journal-942 140 44 3.37e-05 3.37e-05 NUM american_scientific_journal-942 140 45 0.012163 0.012163 NUM american_scientific_journal-942 140 46 0.000961 0.000961 NUM american_scientific_journal-942 140 47 4.36e-14 4.36e-14 NUM american_scientific_journal-942 140 48 2.28e-14 2.28e-14 NUM american_scientific_journal-942 140 49 19500 19500 NUM american_scientific_journal-942 140 50 0.350265 0.350265 NUM american_scientific_journal-942 140 51 0.09395 0.09395 NUM american_scientific_journal-942 140 52 0.000127 0.000127 NUM american_scientific_journal-942 140 53 3.41e-05 3.41e-05 NUM american_scientific_journal-942 140 54 0.011076 0.011076 NUM american_scientific_journal-942 140 55 0.000936 0.000936 NUM american_scientific_journal-942 140 56 7.00e-14 7.00e-14 NUM american_scientific_journal-942 140 57 4.85e-14 4.85e-14 NUM american_scientific_journal-942 140 58 21000 21000 NUM american_scientific_journal-942 140 59 0.650492 0.650492 NUM american_scientific_journal-942 140 60 0.0887 0.0887 NUM american_scientific_journal-942 140 61 0.000127 0.000127 NUM american_scientific_journal-942 140 62 3.22e-05 3.22e-05 NUM american_scientific_journal-942 140 63 0.02057 0.02057 NUM american_scientific_journal-942 140 64 0.000891 0.000891 NUM american_scientific_journal-942 140 65 2.05e-13 2.05e-13 NUM american_scientific_journal-942 140 66 1.39e-13 1.39e-13 NUM american_scientific_journal-942 140 67 22500 22500 NUM american_scientific_journal-942 140 68 0.678618 0.678618 NUM american_scientific_journal-942 140 69 0.085311 0.085311 NUM american_scientific_journal-942 140 70 9.02e-05 9.02e-05 NUM american_scientific_journal-942 140 71 3.10e-05 3.10e-05 NUM american_scientific_journal-942 140 72 0.02146 0.02146 NUM american_scientific_journal-942 140 73 0.000856 0.000856 NUM american_scientific_journal-942 140 74 6.29e-14 6.29e-14 NUM american_scientific_journal-942 140 75 9.66e-14 9.66e-14 NUM american_scientific_journal-942 140 76 24000 24000 NUM american_scientific_journal-942 140 77 0.711078 0.711078 NUM american_scientific_journal-942 140 78 0.082506 0.082506 NUM american_scientific_journal-942 141 1 7.25e-05 7.25e-05 NUM american_scientific_journal-942 141 2 3.00e-05 3.00e-05 NUM american_scientific_journal-942 141 3 0.022486 0.022486 NUM american_scientific_journal-942 141 4 0.000823 0.000823 NUM american_scientific_journal-942 141 5 8.01e-13 8.01e-13 NUM american_scientific_journal-942 141 6 4.80e-14 4.80e-14 NUM american_scientific_journal-942 141 7 figure figure NOUN american_scientific_journal-942 141 8 2 2 NUM american_scientific_journal-942 141 9 : : PUNCT american_scientific_journal-942 141 10 chart chart NOUN american_scientific_journal-942 141 11 of of ADP american_scientific_journal-942 141 12 coefficient coefficient NOUN american_scientific_journal-942 141 13 of of ADP american_scientific_journal-942 141 14 variation variation NOUN american_scientific_journal-942 141 15 in in ADP american_scientific_journal-942 141 16 large large ADJ american_scientific_journal-942 141 17 sample sample NOUN american_scientific_journal-942 141 18 0 0 NUM american_scientific_journal-942 141 19 0.00005 0.00005 NUM american_scientific_journal-942 141 20 0.0001 0.0001 NUM american_scientific_journal-942 141 21 0.00015 0.00015 NUM american_scientific_journal-942 141 22 0.0002 0.0002 NUM american_scientific_journal-942 141 23 0.00025 0.00025 NUM american_scientific_journal-942 141 24 0.0003 0.0003 NUM american_scientific_journal-942 141 25 0.00035 0.00035 NUM american_scientific_journal-942 141 26 0 0 NUM american_scientific_journal-942 141 27 10000 10000 NUM american_scientific_journal-942 141 28 20000 20000 NUM american_scientific_journal-942 141 29 30000 30000 NUM american_scientific_journal-942 141 30 n n PRON american_scientific_journal-942 141 31 coefficient coefficient NOUN american_scientific_journal-942 141 32 of of ADP american_scientific_journal-942 141 33 variation variation NOUN american_scientific_journal-942 141 34 , , PUNCT american_scientific_journal-942 141 35 l l PROPN american_scientific_journal-942 141 36 moon moon NOUN american_scientific_journal-942 141 37 mmoon mmoon NOUN american_scientific_journal-942 141 38 150 150 NUM american_scientific_journal-942 141 39 american american ADJ american_scientific_journal-942 141 40 scientific scientific ADJ american_scientific_journal-942 141 41 research research NOUN american_scientific_journal-942 141 42 journal journal NOUN american_scientific_journal-942 141 43 for for ADP american_scientific_journal-942 141 44 engineering engineering NOUN american_scientific_journal-942 141 45 , , PUNCT american_scientific_journal-942 141 46 technology technology NOUN american_scientific_journal-942 141 47 , , PUNCT american_scientific_journal-942 141 48 and and CCONJ american_scientific_journal-942 141 49 sciences science NOUN american_scientific_journal-942 141 50 ( ( PUNCT american_scientific_journal-942 141 51 asrjets asrjet NOUN american_scientific_journal-942 141 52 ) ) PUNCT american_scientific_journal-942 141 53 ( ( PUNCT american_scientific_journal-942 141 54 2015 2015 NUM american_scientific_journal-942 141 55 ) ) PUNCT american_scientific_journal-942 141 56 volume volume NOUN american_scientific_journal-942 141 57 14 14 NUM american_scientific_journal-942 141 58 , , PUNCT american_scientific_journal-942 141 59 no no DET american_scientific_journal-942 141 60 1 1 NUM american_scientific_journal-942 141 61 , , PUNCT american_scientific_journal-942 141 62 pp pp ADV american_scientific_journal-942 141 63 142 142 NUM american_scientific_journal-942 141 64 - - SYM american_scientific_journal-942 141 65 155 155 NUM american_scientific_journal-942 141 66 figure figure NOUN american_scientific_journal-942 141 67 3 3 NUM american_scientific_journal-942 141 68 : : PUNCT american_scientific_journal-942 141 69 chart chart NOUN american_scientific_journal-942 141 70 of of ADP american_scientific_journal-942 141 71 rmse rmse NOUN american_scientific_journal-942 141 72 in in ADP american_scientific_journal-942 141 73 large large ADJ american_scientific_journal-942 141 74 sample sample NOUN american_scientific_journal-942 141 75 figure figure NOUN american_scientific_journal-942 141 76 4 4 NUM american_scientific_journal-942 141 77 : : PUNCT american_scientific_journal-942 141 78 chart chart NOUN american_scientific_journal-942 141 79 of of ADP american_scientific_journal-942 141 80 absolute absolute ADJ american_scientific_journal-942 141 81 bias bias NOUN american_scientific_journal-942 141 82 in in ADP american_scientific_journal-942 141 83 large large ADJ american_scientific_journal-942 141 84 sample sample NOUN american_scientific_journal-942 141 85 figure figure NOUN american_scientific_journal-942 141 86 5 5 NUM american_scientific_journal-942 141 87 : : PUNCT american_scientific_journal-942 141 88 chart chart NOUN american_scientific_journal-942 141 89 of of ADP american_scientific_journal-942 141 90 standard standard ADJ american_scientific_journal-942 141 91 error error NOUN american_scientific_journal-942 141 92 in in ADP american_scientific_journal-942 141 93 moderate moderate ADJ american_scientific_journal-942 141 94 sample sample NOUN american_scientific_journal-942 141 95 0 0 NUM american_scientific_journal-942 141 96 0.005 0.005 NUM american_scientific_journal-942 141 97 0.01 0.01 NUM american_scientific_journal-942 141 98 0.015 0.015 NUM american_scientific_journal-942 141 99 0.02 0.02 NUM american_scientific_journal-942 141 100 0.025 0.025 NUM american_scientific_journal-942 141 101 0.03 0.03 NUM american_scientific_journal-942 141 102 0 0 NUM american_scientific_journal-942 141 103 10000 10000 NUM american_scientific_journal-942 141 104 20000 20000 NUM american_scientific_journal-942 141 105 30000 30000 NUM american_scientific_journal-942 141 106 n n PRON american_scientific_journal-942 141 107 rmse rmse NOUN american_scientific_journal-942 141 108 , , PUNCT american_scientific_journal-942 141 109 l l PROPN american_scientific_journal-942 141 110 moon moon NOUN american_scientific_journal-942 141 111 mmoon mmoon NOUN american_scientific_journal-942 141 112 0.00e+00 0.00e+00 NUM american_scientific_journal-942 141 113 1.00e-13 1.00e-13 NUM american_scientific_journal-942 141 114 2.00e-13 2.00e-13 NUM american_scientific_journal-942 141 115 3.00e-13 3.00e-13 NUM american_scientific_journal-942 141 116 4.00e-13 4.00e-13 NUM american_scientific_journal-942 141 117 5.00e-13 5.00e-13 NUM american_scientific_journal-942 141 118 6.00e-13 6.00e-13 NUM american_scientific_journal-942 141 119 7.00e-13 7.00e-13 NUM american_scientific_journal-942 141 120 8.00e-13 8.00e-13 NUM american_scientific_journal-942 141 121 9.00e-13 9.00e-13 NUM american_scientific_journal-942 141 122 0 0 NUM american_scientific_journal-942 141 123 10000 10000 NUM american_scientific_journal-942 141 124 20000 20000 NUM american_scientific_journal-942 141 125 30000 30000 NUM american_scientific_journal-942 141 126 n n PRON american_scientific_journal-942 141 127 absolute absolute ADJ american_scientific_journal-942 141 128 bias bias NOUN american_scientific_journal-942 141 129 , , PUNCT american_scientific_journal-942 141 130 l l PROPN american_scientific_journal-942 141 131 moon moon NOUN american_scientific_journal-942 141 132 mmoon mmoon NOUN american_scientific_journal-942 141 133 0 0 NUM american_scientific_journal-942 141 134 1 1 NUM american_scientific_journal-942 141 135 2 2 NUM american_scientific_journal-942 141 136 3 3 NUM american_scientific_journal-942 141 137 4 4 NUM american_scientific_journal-942 141 138 5 5 NUM american_scientific_journal-942 141 139 0 0 NUM american_scientific_journal-942 141 140 200 200 NUM american_scientific_journal-942 141 141 400 400 NUM american_scientific_journal-942 141 142 600 600 NUM american_scientific_journal-942 141 143 800 800 NUM american_scientific_journal-942 141 144 1000 1000 NUM american_scientific_journal-942 141 145 n n PRON american_scientific_journal-942 141 146 standard standard ADJ american_scientific_journal-942 141 147 error error NOUN american_scientific_journal-942 141 148 , , PUNCT american_scientific_journal-942 141 149 m m PROPN american_scientific_journal-942 141 150 moon moon NOUN american_scientific_journal-942 141 151 mmoon mmoon NOUN american_scientific_journal-942 141 152 151 151 NUM american_scientific_journal-942 141 153 american american ADJ american_scientific_journal-942 141 154 scientific scientific ADJ american_scientific_journal-942 141 155 research research NOUN american_scientific_journal-942 141 156 journal journal NOUN american_scientific_journal-942 141 157 for for ADP american_scientific_journal-942 141 158 engineering engineering NOUN american_scientific_journal-942 141 159 , , PUNCT american_scientific_journal-942 141 160 technology technology NOUN american_scientific_journal-942 141 161 , , PUNCT american_scientific_journal-942 141 162 and and CCONJ american_scientific_journal-942 141 163 sciences science NOUN american_scientific_journal-942 141 164 ( ( PUNCT american_scientific_journal-942 141 165 asrjets asrjet NOUN american_scientific_journal-942 141 166 ) ) PUNCT american_scientific_journal-942 141 167 ( ( PUNCT american_scientific_journal-942 141 168 2015 2015 NUM american_scientific_journal-942 141 169 ) ) PUNCT american_scientific_journal-942 141 170 volume volume NOUN american_scientific_journal-942 141 171 14 14 NUM american_scientific_journal-942 141 172 , , PUNCT american_scientific_journal-942 141 173 no no DET american_scientific_journal-942 141 174 1 1 NUM american_scientific_journal-942 141 175 , , PUNCT american_scientific_journal-942 141 176 pp pp ADV american_scientific_journal-942 141 177 142 142 NUM american_scientific_journal-942 141 178 - - SYM american_scientific_journal-942 141 179 155 155 NUM american_scientific_journal-942 141 180 table table NOUN american_scientific_journal-942 141 181 2 2 NUM american_scientific_journal-942 141 182 : : PUNCT american_scientific_journal-942 141 183 summary summary NOUN american_scientific_journal-942 141 184 of of ADP american_scientific_journal-942 141 185 bootstrap bootstrap NOUN american_scientific_journal-942 141 186 estimates estimate NOUN american_scientific_journal-942 141 187 in in ADP american_scientific_journal-942 141 188 moderate moderate ADJ american_scientific_journal-942 141 189 sample sample NOUN american_scientific_journal-942 141 190 n n PRON american_scientific_journal-942 141 191 standard standard ADJ american_scientific_journal-942 141 192 error error NOUN american_scientific_journal-942 141 193 coefficient coefficient NOUN american_scientific_journal-942 141 194 of of ADP american_scientific_journal-942 141 195 variation variation NOUN american_scientific_journal-942 141 196 rmse rmse NOUN american_scientific_journal-942 141 197 absolute absolute ADJ american_scientific_journal-942 141 198 bias bias NOUN american_scientific_journal-942 141 199 moon moon PROPN american_scientific_journal-942 141 200 mmoon mmoon PROPN american_scientific_journal-942 141 201 moon moon PROPN american_scientific_journal-942 141 202 mmoon mmoon PROPN american_scientific_journal-942 141 203 moon moon PROPN american_scientific_journal-942 141 204 mmoon mmoon PROPN american_scientific_journal-942 141 205 moon moon PROPN american_scientific_journal-942 141 206 mmoon mmoon NOUN american_scientific_journal-942 141 207 100 100 NUM american_scientific_journal-942 141 208 4.455687 4.455687 NUM american_scientific_journal-942 141 209 1.16504 1.16504 NUM american_scientific_journal-942 141 210 0.001661 0.001661 NUM american_scientific_journal-942 141 211 0.000435 0.000435 NUM american_scientific_journal-942 141 212 0.140901 0.140901 NUM american_scientific_journal-942 141 213 0.036842 0.036842 NUM american_scientific_journal-942 141 214 1.66e-13 1.66e-13 NUM american_scientific_journal-942 141 215 2.26e-14 2.26e-14 NUM american_scientific_journal-942 141 216 150 150 NUM american_scientific_journal-942 141 217 3.635785 3.635785 NUM american_scientific_journal-942 141 218 0.930918 0.930918 NUM american_scientific_journal-942 141 219 0.001354 0.001354 NUM american_scientific_journal-942 141 220 0.000345 0.000345 NUM american_scientific_journal-942 141 221 0.114974 0.114974 NUM american_scientific_journal-942 141 222 0.029438 0.029438 NUM american_scientific_journal-942 141 223 4.80e-14 4.80e-14 NUM american_scientific_journal-942 141 224 3.50e-14 3.50e-14 NUM american_scientific_journal-942 141 225 200 200 NUM american_scientific_journal-942 141 226 3.15536 3.15536 NUM american_scientific_journal-942 141 227 0.798848 0.798848 NUM american_scientific_journal-942 141 228 0.001178 0.001178 NUM american_scientific_journal-942 141 229 0.000299 0.000299 NUM american_scientific_journal-942 141 230 0.099781 0.099781 NUM american_scientific_journal-942 141 231 0.025262 0.025262 NUM american_scientific_journal-942 141 232 8.20e-14 8.20e-14 NUM american_scientific_journal-942 141 233 2.87e-14 2.87e-14 NUM american_scientific_journal-942 141 234 250 250 NUM american_scientific_journal-942 141 235 2.764303 2.764303 NUM american_scientific_journal-942 141 236 0.716033 0.716033 NUM american_scientific_journal-942 141 237 0.001031 0.001031 NUM american_scientific_journal-942 141 238 0.000268 0.000268 NUM american_scientific_journal-942 141 239 0.087415 0.087415 NUM american_scientific_journal-942 141 240 0.022643 0.022643 NUM american_scientific_journal-942 141 241 1.45e-13 1.45e-13 NUM american_scientific_journal-942 141 242 1.89e-14 1.89e-14 NUM american_scientific_journal-942 141 243 300 300 NUM american_scientific_journal-942 141 244 2.40943 2.40943 NUM american_scientific_journal-942 141 245 0.656948 0.656948 NUM american_scientific_journal-942 141 246 0.0009 0.0009 NUM american_scientific_journal-942 141 247 0.000246 0.000246 NUM american_scientific_journal-942 141 248 0.076193 0.076193 NUM american_scientific_journal-942 141 249 0.020775 0.020775 NUM american_scientific_journal-942 141 250 1.10e-13 1.10e-13 NUM american_scientific_journal-942 141 251 8.71e-15 8.71e-15 NUM american_scientific_journal-942 141 252 350 350 NUM american_scientific_journal-942 141 253 2.414765 2.414765 NUM american_scientific_journal-942 141 254 0.599584 0.599584 NUM american_scientific_journal-942 141 255 0.0009 0.0009 NUM american_scientific_journal-942 141 256 0.000224 0.000224 NUM american_scientific_journal-942 141 257 0.076362 0.076362 NUM american_scientific_journal-942 141 258 0.018961 0.018961 NUM american_scientific_journal-942 141 259 2.04e-14 2.04e-14 NUM american_scientific_journal-942 141 260 8.46e-15 8.46e-15 NUM american_scientific_journal-942 141 261 400 400 NUM american_scientific_journal-942 141 262 2.170816 2.170816 NUM american_scientific_journal-942 141 263 0.572092 0.572092 NUM american_scientific_journal-942 141 264 0.000809 0.000809 NUM american_scientific_journal-942 141 265 0.000213 0.000213 NUM american_scientific_journal-942 141 266 0.068647 0.068647 NUM american_scientific_journal-942 141 267 0.018091 0.018091 NUM american_scientific_journal-942 141 268 1.24e-13 1.24e-13 NUM american_scientific_journal-942 141 269 2.19e-14 2.19e-14 NUM american_scientific_journal-942 141 270 450 450 NUM american_scientific_journal-942 141 271 2.193489 2.193489 NUM american_scientific_journal-942 141 272 0.526211 0.526211 NUM american_scientific_journal-942 141 273 0.000818 0.000818 NUM american_scientific_journal-942 141 274 0.000196 0.000196 NUM american_scientific_journal-942 141 275 0.069364 0.069364 NUM american_scientific_journal-942 141 276 0.01664 0.01664 NUM american_scientific_journal-942 141 277 2.65e-14 2.65e-14 NUM american_scientific_journal-942 141 278 8.78e-15 8.78e-15 NUM american_scientific_journal-942 141 279 500 500 NUM american_scientific_journal-942 141 280 1.914705 1.914705 NUM american_scientific_journal-942 141 281 0.514097 0.514097 NUM american_scientific_journal-942 141 282 0.000714 0.000714 NUM american_scientific_journal-942 141 283 0.000191 0.000191 NUM american_scientific_journal-942 141 284 0.060548 0.060548 NUM american_scientific_journal-942 141 285 0.016257 0.016257 NUM american_scientific_journal-942 141 286 6.67e-14 6.67e-14 NUM american_scientific_journal-942 141 287 1.48e-13 1.48e-13 NUM american_scientific_journal-942 141 288 550 550 NUM american_scientific_journal-942 141 289 1.838625 1.838625 NUM american_scientific_journal-942 141 290 0.474448 0.474448 NUM american_scientific_journal-942 141 291 0.000685 0.000685 NUM american_scientific_journal-942 141 292 0.000177 0.000177 NUM american_scientific_journal-942 141 293 0.058142 0.058142 NUM american_scientific_journal-942 141 294 0.015003 0.015003 NUM american_scientific_journal-942 141 295 6.01e-15 6.01e-15 NUM american_scientific_journal-942 141 296 5.10e-14 5.10e-14 NUM american_scientific_journal-942 141 297 600 600 NUM american_scientific_journal-942 141 298 1.783116 1.783116 NUM american_scientific_journal-942 141 299 0.462876 0.462876 NUM american_scientific_journal-942 141 300 0.000665 0.000665 NUM american_scientific_journal-942 141 301 0.000173 0.000173 NUM american_scientific_journal-942 141 302 0.056387 0.056387 NUM american_scientific_journal-942 141 303 0.014637 0.014637 NUM american_scientific_journal-942 141 304 2.16e-14 2.16e-14 NUM american_scientific_journal-942 141 305 3.51e-14 3.51e-14 NUM american_scientific_journal-942 141 306 650 650 NUM american_scientific_journal-942 141 307 1.731724 1.731724 NUM american_scientific_journal-942 141 308 0.441068 0.441068 NUM american_scientific_journal-942 142 1 0.000658 0.000658 NUM american_scientific_journal-942 142 2 0.000164 0.000164 NOUN american_scientific_journal-942 142 3 0.054762 0.054762 NUM american_scientific_journal-942 142 4 0.013948 0.013948 NUM american_scientific_journal-942 142 5 7.00e-14 7.00e-14 NUM american_scientific_journal-942 142 6 1.36e-13 1.36e-13 NUM american_scientific_journal-942 142 7 700 700 NUM american_scientific_journal-942 142 8 3.463449 3.463449 NUM american_scientific_journal-942 142 9 0.420461 0.420461 NUM american_scientific_journal-942 142 10 0.000127 0.000127 NUM american_scientific_journal-942 142 11 3.22e-05 3.22e-05 NUM american_scientific_journal-942 142 12 0.02057 0.02057 NUM american_scientific_journal-942 142 13 0.000891 0.000891 NUM american_scientific_journal-942 142 14 2.05e-13 2.05e-13 NUM american_scientific_journal-942 142 15 1.39e-13 1.39e-13 NUM american_scientific_journal-942 142 16 750 750 NUM american_scientific_journal-942 142 17 3.018738 3.018738 NUM american_scientific_journal-942 142 18 0.427549 0.427549 NUM american_scientific_journal-942 142 19 9.02e-05 9.02e-05 NUM american_scientific_journal-942 142 20 3.10e-05 3.10e-05 NUM american_scientific_journal-942 142 21 0.02146 0.02146 NUM american_scientific_journal-942 142 22 0.000856 0.000856 NUM american_scientific_journal-942 142 23 6.29e-14 6.29e-14 NUM american_scientific_journal-942 142 24 9.66e-14 9.66e-14 NUM american_scientific_journal-942 142 25 800 800 NUM american_scientific_journal-942 142 26 2.864389 2.864389 NUM american_scientific_journal-942 142 27 0.405739 0.405739 NUM american_scientific_journal-942 142 28 7.25e-05 7.25e-05 NUM american_scientific_journal-942 142 29 3.00e-05 3.00e-05 NUM american_scientific_journal-942 142 30 0.022486 0.022486 NUM american_scientific_journal-942 142 31 0.000823 0.000823 NUM american_scientific_journal-942 142 32 8.01e-13 8.01e-13 NUM american_scientific_journal-942 142 33 4.80e-14 4.80e-14 NUM american_scientific_journal-942 142 34 figure figure NOUN american_scientific_journal-942 142 35 6 6 NUM american_scientific_journal-942 142 36 : : PUNCT american_scientific_journal-942 142 37 chart chart NOUN american_scientific_journal-942 142 38 of of ADP american_scientific_journal-942 142 39 coefficient coefficient NOUN american_scientific_journal-942 142 40 of of ADP american_scientific_journal-942 142 41 variation variation NOUN american_scientific_journal-942 142 42 in in ADP american_scientific_journal-942 142 43 moderate moderate ADJ american_scientific_journal-942 142 44 sample sample NOUN american_scientific_journal-942 142 45 4 4 NUM american_scientific_journal-942 142 46 . . PUNCT american_scientific_journal-942 142 47 discussion discussion NOUN american_scientific_journal-942 142 48 tables table NOUN american_scientific_journal-942 142 49 1 1 NUM american_scientific_journal-942 142 50 and and CCONJ american_scientific_journal-942 142 51 2 2 NUM american_scientific_journal-942 142 52 show show NOUN american_scientific_journal-942 142 53 asymptotic asymptotic ADJ american_scientific_journal-942 142 54 test test NOUN american_scientific_journal-942 142 55 results result NOUN american_scientific_journal-942 142 56 for for ADP american_scientific_journal-942 142 57 large large ADJ american_scientific_journal-942 142 58 and and CCONJ american_scientific_journal-942 142 59 moderate moderate ADJ american_scientific_journal-942 142 60 samples sample NOUN american_scientific_journal-942 142 61 respectively respectively ADV american_scientific_journal-942 142 62 . . PUNCT american_scientific_journal-942 143 1 their their PRON american_scientific_journal-942 143 2 corresponding correspond VERB american_scientific_journal-942 143 3 graphs graph NOUN american_scientific_journal-942 143 4 are be AUX american_scientific_journal-942 143 5 presented present VERB american_scientific_journal-942 143 6 in in ADP american_scientific_journal-942 143 7 figure figure NOUN american_scientific_journal-942 143 8 1to 1to ADJ american_scientific_journal-942 143 9 8 8 NUM american_scientific_journal-942 143 10 . . PUNCT american_scientific_journal-942 144 1 both both CCONJ american_scientific_journal-942 144 2 the the DET american_scientific_journal-942 144 3 tables table NOUN american_scientific_journal-942 144 4 and and CCONJ american_scientific_journal-942 144 5 the the DET american_scientific_journal-942 144 6 figures figure NOUN american_scientific_journal-942 144 7 show show VERB american_scientific_journal-942 144 8 some some DET american_scientific_journal-942 144 9 statistical statistical ADJ american_scientific_journal-942 144 10 measures measure NOUN american_scientific_journal-942 144 11 of of ADP american_scientific_journal-942 144 12 precision precision NOUN american_scientific_journal-942 144 13 on on ADP american_scientific_journal-942 144 14 the the DET american_scientific_journal-942 144 15 two two NUM american_scientific_journal-942 144 16 bootstrap bootstrap NOUN american_scientific_journal-942 144 17 methods method NOUN american_scientific_journal-942 144 18 . . PUNCT american_scientific_journal-942 144 19 0 0 NUM american_scientific_journal-942 145 1 0.0005 0.0005 NUM american_scientific_journal-942 145 2 0.001 0.001 NUM american_scientific_journal-942 145 3 0.0015 0.0015 NUM american_scientific_journal-942 145 4 0.002 0.002 NUM american_scientific_journal-942 145 5 0 0 NUM american_scientific_journal-942 145 6 200 200 NUM american_scientific_journal-942 145 7 400 400 NUM american_scientific_journal-942 145 8 600 600 NUM american_scientific_journal-942 145 9 800 800 NUM american_scientific_journal-942 145 10 1000 1000 NUM american_scientific_journal-942 145 11 n n NOUN american_scientific_journal-942 145 12 coefficient coefficient NOUN american_scientific_journal-942 145 13 of of ADP american_scientific_journal-942 145 14 variation variation NOUN american_scientific_journal-942 145 15 , , PUNCT american_scientific_journal-942 145 16 m m PROPN american_scientific_journal-942 145 17 moon moon NOUN american_scientific_journal-942 145 18 mmoon mmoon NOUN american_scientific_journal-942 145 19 152 152 NUM american_scientific_journal-942 145 20 american american ADJ american_scientific_journal-942 145 21 scientific scientific ADJ american_scientific_journal-942 145 22 research research NOUN american_scientific_journal-942 145 23 journal journal NOUN american_scientific_journal-942 145 24 for for ADP american_scientific_journal-942 145 25 engineering engineering NOUN american_scientific_journal-942 145 26 , , PUNCT american_scientific_journal-942 145 27 technology technology NOUN american_scientific_journal-942 145 28 , , PUNCT american_scientific_journal-942 145 29 and and CCONJ american_scientific_journal-942 145 30 sciences science NOUN american_scientific_journal-942 145 31 ( ( PUNCT american_scientific_journal-942 145 32 asrjets asrjet NOUN american_scientific_journal-942 145 33 ) ) PUNCT american_scientific_journal-942 145 34 ( ( PUNCT american_scientific_journal-942 145 35 2015 2015 NUM american_scientific_journal-942 145 36 ) ) PUNCT american_scientific_journal-942 145 37 volume volume NOUN american_scientific_journal-942 145 38 14 14 NUM american_scientific_journal-942 145 39 , , PUNCT american_scientific_journal-942 145 40 no no DET american_scientific_journal-942 145 41 1 1 NUM american_scientific_journal-942 145 42 , , PUNCT american_scientific_journal-942 145 43 pp pp ADV american_scientific_journal-942 145 44 142 142 NUM american_scientific_journal-942 145 45 - - SYM american_scientific_journal-942 145 46 155 155 NUM american_scientific_journal-942 145 47 from from ADP american_scientific_journal-942 145 48 tables table NOUN american_scientific_journal-942 145 49 1 1 NUM american_scientific_journal-942 145 50 and and CCONJ american_scientific_journal-942 145 51 2 2 NUM american_scientific_journal-942 145 52 , , PUNCT american_scientific_journal-942 145 53 it it PRON american_scientific_journal-942 145 54 is be AUX american_scientific_journal-942 145 55 revealed reveal VERB american_scientific_journal-942 145 56 that that SCONJ american_scientific_journal-942 145 57 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 145 58 bootstrap bootstrap NOUN american_scientific_journal-942 145 59 method method NOUN american_scientific_journal-942 145 60 performs perform VERB american_scientific_journal-942 145 61 better well ADV american_scientific_journal-942 145 62 than than ADP american_scientific_journal-942 145 63 ๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘œ๐‘œ๐‘› NOUN american_scientific_journal-942 145 64 bootstrap bootstrap NOUN american_scientific_journal-942 145 65 method method NOUN american_scientific_journal-942 145 66 in in ADP american_scientific_journal-942 145 67 large large ADJ american_scientific_journal-942 145 68 and and CCONJ american_scientific_journal-942 145 69 moderate moderate ADJ american_scientific_journal-942 145 70 samples sample NOUN american_scientific_journal-942 145 71 respectively respectively ADV american_scientific_journal-942 145 72 . . PUNCT american_scientific_journal-942 146 1 the the DET american_scientific_journal-942 146 2 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 146 3 bootstrap bootstrap PROPN american_scientific_journal-942 146 4 method method NOUN american_scientific_journal-942 146 5 produces produce VERB american_scientific_journal-942 146 6 smaller small ADJ american_scientific_journal-942 146 7 estimates estimate NOUN american_scientific_journal-942 146 8 of of ADP american_scientific_journal-942 146 9 standard standard ADJ american_scientific_journal-942 146 10 error error NOUN american_scientific_journal-942 146 11 ( ( PUNCT american_scientific_journal-942 146 12 se se X american_scientific_journal-942 146 13 ) ) PUNCT american_scientific_journal-942 146 14 ; ; PUNCT american_scientific_journal-942 146 15 root root NOUN american_scientific_journal-942 146 16 mean mean VERB american_scientific_journal-942 146 17 square square PROPN american_scientific_journal-942 146 18 error(rmse error(rmse PROPN american_scientific_journal-942 146 19 ) ) PUNCT american_scientific_journal-942 146 20 ; ; PUNCT american_scientific_journal-942 146 21 coefficient coefficient NOUN american_scientific_journal-942 146 22 of of ADP american_scientific_journal-942 146 23 variation(cv);absolute variation(cv);absolute NOUN american_scientific_journal-942 146 24 bias(absb bias(absb PROPN american_scientific_journal-942 146 25 ) ) PUNCT american_scientific_journal-942 146 26 when when SCONJ american_scientific_journal-942 146 27 compared compare VERB american_scientific_journal-942 146 28 to to ADP american_scientific_journal-942 146 29 the the DET american_scientific_journal-942 146 30 ๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘œ๐‘œ๐‘› NOUN american_scientific_journal-942 146 31 bootstrap bootstrap NOUN american_scientific_journal-942 146 32 method method NOUN american_scientific_journal-942 146 33 . . PUNCT american_scientific_journal-942 147 1 in in ADP american_scientific_journal-942 147 2 large large ADJ american_scientific_journal-942 147 3 sample sample NOUN american_scientific_journal-942 147 4 , , PUNCT american_scientific_journal-942 147 5 when when SCONJ american_scientific_journal-942 147 6 n n X american_scientific_journal-942 147 7 = = SYM american_scientific_journal-942 147 8 3000 3000 NUM american_scientific_journal-942 147 9 : : PUNCT american_scientific_journal-942 147 10 se se X american_scientific_journal-942 147 11 = = SYM american_scientific_journal-942 147 12 ( ( PUNCT american_scientific_journal-942 147 13 0.86922;0.22806 0.86922;0.22806 NOUN american_scientific_journal-942 147 14 ) ) PUNCT american_scientific_journal-942 147 15 ; ; PUNCT american_scientific_journal-942 147 16 cv cv PROPN american_scientific_journal-942 147 17 = = SYM american_scientific_journal-942 147 18 ( ( PUNCT american_scientific_journal-942 147 19 0.000316;8.28e-05 0.000316;8.28e-05 NUM american_scientific_journal-942 147 20 ) ) PUNCT american_scientific_journal-942 147 21 ; ; PUNCT american_scientific_journal-942 147 22 rmse rmse NOUN american_scientific_journal-942 147 23 = = SYM american_scientific_journal-942 147 24 ( ( PUNCT american_scientific_journal-942 147 25 0.027487;0.002339 0.027487;0.002339 NUM american_scientific_journal-942 147 26 ) ) PUNCT american_scientific_journal-942 147 27 ; ; PUNCT american_scientific_journal-942 147 28 absb absb NOUN american_scientific_journal-942 147 29 = = SYM american_scientific_journal-942 147 30 ( ( PUNCT american_scientific_journal-942 147 31 9.08e-14;1.70e-13 9.08e-14;1.70e-13 NUM american_scientific_journal-942 147 32 ) ) PUNCT american_scientific_journal-942 147 33 for for ADP american_scientific_journal-942 147 34 moon moon NOUN american_scientific_journal-942 147 35 and and CCONJ american_scientific_journal-942 147 36 mmoon mmoon NOUN american_scientific_journal-942 147 37 respectively respectively ADV american_scientific_journal-942 147 38 and and CCONJ american_scientific_journal-942 147 39 when when SCONJ american_scientific_journal-942 147 40 n n X american_scientific_journal-942 147 41 = = SYM american_scientific_journal-942 147 42 1800 1800 NUM american_scientific_journal-942 147 43 : : PUNCT american_scientific_journal-942 147 44 se se X american_scientific_journal-942 147 45 = = SYM american_scientific_journal-942 147 46 ( ( PUNCT american_scientific_journal-942 147 47 0.384636;0.0927 0.384636;0.0927 NUM american_scientific_journal-942 147 48 ) ) PUNCT american_scientific_journal-942 147 49 ; ; PUNCT american_scientific_journal-942 147 50 cv cv PROPN american_scientific_journal-942 147 51 = = SYM american_scientific_journal-942 147 52 ( ( PUNCT american_scientific_journal-942 147 53 0.00014;3.37e-05 0.00014;3.37e-05 NUM american_scientific_journal-942 147 54 ) ) PUNCT american_scientific_journal-942 147 55 ; ; PUNCT american_scientific_journal-942 147 56 rmse rmse NOUN american_scientific_journal-942 147 57 = = SYM american_scientific_journal-942 147 58 ( ( PUNCT american_scientific_journal-942 147 59 0.012163;0.000961 0.012163;0.000961 NUM american_scientific_journal-942 147 60 ) ) PUNCT american_scientific_journal-942 147 61 ; ; PUNCT american_scientific_journal-942 147 62 absb absb NOUN american_scientific_journal-942 147 63 = = SYM american_scientific_journal-942 147 64 ( ( PUNCT american_scientific_journal-942 147 65 4.36e-14;2.28e-14 4.36e-14;2.28e-14 NUM american_scientific_journal-942 147 66 ) ) PUNCT american_scientific_journal-942 147 67 . . PUNCT american_scientific_journal-942 148 1 also also ADV american_scientific_journal-942 148 2 for for ADP american_scientific_journal-942 148 3 moderate moderate ADJ american_scientific_journal-942 148 4 sample sample NOUN american_scientific_journal-942 148 5 , , PUNCT american_scientific_journal-942 148 6 when when SCONJ american_scientific_journal-942 148 7 n n X american_scientific_journal-942 148 8 = = SYM american_scientific_journal-942 148 9 100 100 NUM american_scientific_journal-942 148 10 : : PUNCT american_scientific_journal-942 148 11 se se X american_scientific_journal-942 148 12 = = SYM american_scientific_journal-942 148 13 ( ( PUNCT american_scientific_journal-942 148 14 4.455687;1.16504 4.455687;1.16504 NUM american_scientific_journal-942 148 15 ) ) PUNCT american_scientific_journal-942 148 16 ; ; PUNCT american_scientific_journal-942 148 17 cv cv PROPN american_scientific_journal-942 148 18 = = SYM american_scientific_journal-942 148 19 ( ( PUNCT american_scientific_journal-942 148 20 0.001661;0.000435 0.001661;0.000435 NUM american_scientific_journal-942 148 21 ) ) PUNCT american_scientific_journal-942 148 22 ; ; PUNCT american_scientific_journal-942 148 23 rmse rmse NOUN american_scientific_journal-942 148 24 = = SYM american_scientific_journal-942 148 25 ( ( PUNCT american_scientific_journal-942 148 26 0.140901;0.036842 0.140901;0.036842 NUM american_scientific_journal-942 148 27 ) ) PUNCT american_scientific_journal-942 148 28 ; ; PUNCT american_scientific_journal-942 148 29 absb absb NOUN american_scientific_journal-942 148 30 = = SYM american_scientific_journal-942 148 31 ( ( PUNCT american_scientific_journal-942 148 32 1.66e-13;2.26e-14 1.66e-13;2.26e-14 NUM american_scientific_journal-942 148 33 ) ) PUNCT american_scientific_journal-942 148 34 for for ADP american_scientific_journal-942 148 35 moon moon NOUN american_scientific_journal-942 148 36 and and CCONJ american_scientific_journal-942 148 37 mmoon mmoon NOUN american_scientific_journal-942 148 38 respectively respectively ADV american_scientific_journal-942 148 39 and and CCONJ american_scientific_journal-942 148 40 when when SCONJ american_scientific_journal-942 148 41 n n X american_scientific_journal-942 148 42 = = SYM american_scientific_journal-942 148 43 300 300 NUM american_scientific_journal-942 148 44 : : PUNCT american_scientific_journal-942 148 45 se se X american_scientific_journal-942 148 46 = = SYM american_scientific_journal-942 148 47 ( ( PUNCT american_scientific_journal-942 148 48 2.40943;0.656948 2.40943;0.656948 NUM american_scientific_journal-942 148 49 ) ) PUNCT american_scientific_journal-942 148 50 ; ; PUNCT american_scientific_journal-942 148 51 cv cv PROPN american_scientific_journal-942 148 52 = = SYM american_scientific_journal-942 148 53 ( ( PUNCT american_scientific_journal-942 148 54 0.009;0.000246 0.009;0.000246 NUM american_scientific_journal-942 148 55 ) ) PUNCT american_scientific_journal-942 148 56 ; ; PUNCT american_scientific_journal-942 148 57 rmse rmse NOUN american_scientific_journal-942 148 58 = = SYM american_scientific_journal-942 148 59 ( ( PUNCT american_scientific_journal-942 148 60 0.076193;0.020775 0.076193;0.020775 NOUN american_scientific_journal-942 148 61 ) ) PUNCT american_scientific_journal-942 148 62 ; ; PUNCT american_scientific_journal-942 148 63 absb absb NOUN american_scientific_journal-942 148 64 = = SYM american_scientific_journal-942 148 65 ( ( PUNCT american_scientific_journal-942 148 66 1.10e-13;8.71e-15 1.10e-13;8.71e-15 NUM american_scientific_journal-942 148 67 ) ) PUNCT american_scientific_journal-942 148 68 . . PUNCT american_scientific_journal-942 149 1 figure figure VERB american_scientific_journal-942 149 2 7 7 NUM american_scientific_journal-942 149 3 : : PUNCT american_scientific_journal-942 149 4 chart chart NOUN american_scientific_journal-942 149 5 of of ADP american_scientific_journal-942 149 6 rmse rmse NOUN american_scientific_journal-942 149 7 in in ADP american_scientific_journal-942 149 8 moderate moderate ADJ american_scientific_journal-942 149 9 sample sample NOUN american_scientific_journal-942 149 10 figure figure NOUN american_scientific_journal-942 149 11 8 8 NUM american_scientific_journal-942 149 12 : : PUNCT american_scientific_journal-942 149 13 chart chart NOUN american_scientific_journal-942 149 14 of of ADP american_scientific_journal-942 149 15 absolute absolute ADJ american_scientific_journal-942 149 16 bias bias NOUN american_scientific_journal-942 149 17 in in ADP american_scientific_journal-942 149 18 large large ADJ american_scientific_journal-942 149 19 sample sample NOUN american_scientific_journal-942 149 20 the the DET american_scientific_journal-942 149 21 absolute absolute ADJ american_scientific_journal-942 149 22 bias bias NOUN american_scientific_journal-942 149 23 of of ADP american_scientific_journal-942 149 24 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 149 25 bootstrap bootstrap PROPN american_scientific_journal-942 149 26 method method NOUN american_scientific_journal-942 149 27 in in ADP american_scientific_journal-942 149 28 large large ADJ american_scientific_journal-942 149 29 sample sample NOUN american_scientific_journal-942 149 30 is be AUX american_scientific_journal-942 149 31 lesser less ADJ american_scientific_journal-942 149 32 compared compare VERB american_scientific_journal-942 149 33 to to ADP american_scientific_journal-942 149 34 moderate moderate ADJ american_scientific_journal-942 149 35 sample sample NOUN american_scientific_journal-942 149 36 , , PUNCT american_scientific_journal-942 149 37 so so ADV american_scientific_journal-942 149 38 also also ADV american_scientific_journal-942 149 39 the the DET american_scientific_journal-942 149 40 estimate estimate NOUN american_scientific_journal-942 149 41 of of ADP american_scientific_journal-942 149 42 other other ADJ american_scientific_journal-942 149 43 measures measure NOUN american_scientific_journal-942 149 44 , , PUNCT american_scientific_journal-942 149 45 these these PRON american_scientific_journal-942 149 46 confirmed confirm VERB american_scientific_journal-942 149 47 that that SCONJ american_scientific_journal-942 149 48 , , PUNCT american_scientific_journal-942 149 49 increasing increase VERB american_scientific_journal-942 149 50 number number NOUN american_scientific_journal-942 149 51 of of ADP american_scientific_journal-942 149 52 samples sample NOUN american_scientific_journal-942 149 53 can can AUX american_scientific_journal-942 149 54 reduce reduce VERB american_scientific_journal-942 149 55 effects effect NOUN american_scientific_journal-942 149 56 of of ADP american_scientific_journal-942 149 57 random random ADJ american_scientific_journal-942 149 58 sampling sampling NOUN american_scientific_journal-942 149 59 errors error NOUN american_scientific_journal-942 149 60 which which PRON american_scientific_journal-942 149 61 can can AUX american_scientific_journal-942 149 62 also also ADV american_scientific_journal-942 149 63 arise arise VERB american_scientific_journal-942 149 64 from from ADP american_scientific_journal-942 149 65 bootstrap bootstrap NOUN american_scientific_journal-942 149 66 procedure procedure NOUN american_scientific_journal-942 149 67 itself itself PRON american_scientific_journal-942 149 68 . . PUNCT american_scientific_journal-942 150 1 , , PUNCT american_scientific_journal-942 150 2 hence hence ADV american_scientific_journal-942 150 3 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 150 4 is be AUX american_scientific_journal-942 150 5 suggested suggest VERB american_scientific_journal-942 150 6 as as ADP american_scientific_journal-942 150 7 a a DET american_scientific_journal-942 150 8 preferred preferred ADJ american_scientific_journal-942 150 9 method method NOUN american_scientific_journal-942 150 10 in in ADP american_scientific_journal-942 150 11 practice practice NOUN american_scientific_journal-942 150 12 . . PUNCT american_scientific_journal-942 151 1 0 0 NUM american_scientific_journal-942 151 2 0.02 0.02 NUM american_scientific_journal-942 151 3 0.04 0.04 NUM american_scientific_journal-942 151 4 0.06 0.06 NUM american_scientific_journal-942 151 5 0.08 0.08 NUM american_scientific_journal-942 151 6 0.1 0.1 NUM american_scientific_journal-942 151 7 0.12 0.12 NUM american_scientific_journal-942 151 8 0.14 0.14 NUM american_scientific_journal-942 151 9 0.16 0.16 NUM american_scientific_journal-942 151 10 0 0 NUM american_scientific_journal-942 151 11 200 200 NUM american_scientific_journal-942 151 12 400 400 NUM american_scientific_journal-942 151 13 600 600 NUM american_scientific_journal-942 151 14 800 800 NUM american_scientific_journal-942 151 15 1000 1000 NUM american_scientific_journal-942 151 16 n n DET american_scientific_journal-942 151 17 rmse rmse NOUN american_scientific_journal-942 151 18 , , PUNCT american_scientific_journal-942 151 19 m m PROPN american_scientific_journal-942 151 20 moon moon NOUN american_scientific_journal-942 151 21 mmoon mmoon NOUN american_scientific_journal-942 151 22 0.00e+00 0.00e+00 NUM american_scientific_journal-942 151 23 5.00e-14 5.00e-14 NUM american_scientific_journal-942 151 24 1.00e-13 1.00e-13 NUM american_scientific_journal-942 151 25 1.50e-13 1.50e-13 NUM american_scientific_journal-942 151 26 2.00e-13 2.00e-13 NUM american_scientific_journal-942 151 27 0 0 NUM american_scientific_journal-942 151 28 200 200 NUM american_scientific_journal-942 151 29 400 400 NUM american_scientific_journal-942 151 30 600 600 NUM american_scientific_journal-942 151 31 800 800 NUM american_scientific_journal-942 151 32 1000 1000 NUM american_scientific_journal-942 151 33 n n PRON american_scientific_journal-942 151 34 absolute absolute ADJ american_scientific_journal-942 151 35 bias bias NOUN american_scientific_journal-942 151 36 , , PUNCT american_scientific_journal-942 151 37 m m PROPN american_scientific_journal-942 151 38 moon moon NOUN american_scientific_journal-942 151 39 mmoon mmoon NOUN american_scientific_journal-942 151 40 153 153 NUM american_scientific_journal-942 151 41 american american ADJ american_scientific_journal-942 151 42 scientific scientific ADJ american_scientific_journal-942 151 43 research research NOUN american_scientific_journal-942 151 44 journal journal NOUN american_scientific_journal-942 151 45 for for ADP american_scientific_journal-942 151 46 engineering engineering NOUN american_scientific_journal-942 151 47 , , PUNCT american_scientific_journal-942 151 48 technology technology NOUN american_scientific_journal-942 151 49 , , PUNCT american_scientific_journal-942 151 50 and and CCONJ american_scientific_journal-942 151 51 sciences science NOUN american_scientific_journal-942 151 52 ( ( PUNCT american_scientific_journal-942 151 53 asrjets asrjet NOUN american_scientific_journal-942 151 54 ) ) PUNCT american_scientific_journal-942 151 55 ( ( PUNCT american_scientific_journal-942 151 56 2015 2015 NUM american_scientific_journal-942 151 57 ) ) PUNCT american_scientific_journal-942 151 58 volume volume NOUN american_scientific_journal-942 151 59 14 14 NUM american_scientific_journal-942 151 60 , , PUNCT american_scientific_journal-942 151 61 no no DET american_scientific_journal-942 151 62 1 1 NUM american_scientific_journal-942 151 63 , , PUNCT american_scientific_journal-942 151 64 pp pp ADV american_scientific_journal-942 151 65 142 142 NUM american_scientific_journal-942 151 66 - - SYM american_scientific_journal-942 151 67 155 155 NUM american_scientific_journal-942 151 68 the the DET american_scientific_journal-942 151 69 charts chart NOUN american_scientific_journal-942 151 70 in in ADP american_scientific_journal-942 151 71 figures figure NOUN american_scientific_journal-942 151 72 1 1 NUM american_scientific_journal-942 151 73 to to PART american_scientific_journal-942 151 74 8 8 NUM american_scientific_journal-942 151 75 show show VERB american_scientific_journal-942 151 76 the the DET american_scientific_journal-942 151 77 bootstrap bootstrap NOUN american_scientific_journal-942 151 78 estimate estimate NOUN american_scientific_journal-942 151 79 of of ADP american_scientific_journal-942 151 80 se se X american_scientific_journal-942 151 81 , , PUNCT american_scientific_journal-942 151 82 cv cv PROPN american_scientific_journal-942 151 83 , , PUNCT american_scientific_journal-942 151 84 rmse rmse NOUN american_scientific_journal-942 151 85 and and CCONJ american_scientific_journal-942 151 86 absb absb NOUN american_scientific_journal-942 151 87 . . PUNCT american_scientific_journal-942 152 1 the the DET american_scientific_journal-942 152 2 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 152 3 bootstrap bootstrap PROPN american_scientific_journal-942 152 4 method method NOUN american_scientific_journal-942 152 5 converges converge VERB american_scientific_journal-942 152 6 at at ADP american_scientific_journal-942 152 7 a a DET american_scientific_journal-942 152 8 faster fast ADJ american_scientific_journal-942 152 9 rate rate NOUN american_scientific_journal-942 152 10 and and CCONJ american_scientific_journal-942 152 11 it it PRON american_scientific_journal-942 152 12 is be AUX american_scientific_journal-942 152 13 asymptotically asymptotically ADV american_scientific_journal-942 152 14 consistent consistent ADJ american_scientific_journal-942 152 15 . . PUNCT american_scientific_journal-942 153 1 the the DET american_scientific_journal-942 153 2 ๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 153 3 bootstrap bootstrap NOUN american_scientific_journal-942 153 4 method method NOUN american_scientific_journal-942 153 5 converges converge VERB american_scientific_journal-942 153 6 at at ADP american_scientific_journal-942 153 7 a a DET american_scientific_journal-942 153 8 slower slow ADJ american_scientific_journal-942 153 9 rate rate NOUN american_scientific_journal-942 153 10 , , PUNCT american_scientific_journal-942 153 11 until until SCONJ american_scientific_journal-942 153 12 ๐‘š ๐‘š PROPN american_scientific_journal-942 153 13 becomes become VERB american_scientific_journal-942 153 14 as as ADV american_scientific_journal-942 153 15 large large ADJ american_scientific_journal-942 153 16 as as ADP american_scientific_journal-942 153 17 the the DET american_scientific_journal-942 153 18 original original ADJ american_scientific_journal-942 153 19 ๐‘› ๐‘› PROPN american_scientific_journal-942 153 20 ( ( PUNCT american_scientific_journal-942 153 21 i.e. i.e. X american_scientific_journal-942 153 22 m m NOUN american_scientific_journal-942 153 23 = = SYM american_scientific_journal-942 153 24 n n PROPN american_scientific_journal-942 153 25 = = SYM american_scientific_journal-942 153 26 15000 15000 NUM american_scientific_journal-942 153 27 . . PUNCT american_scientific_journal-942 154 1 see see VERB american_scientific_journal-942 154 2 fig fig NOUN american_scientific_journal-942 154 3 . . PUNCT american_scientific_journal-942 154 4 1 1 NUM american_scientific_journal-942 154 5 to to ADP american_scientific_journal-942 154 6 8) 8) NUM american_scientific_journal-942 154 7 . . PUNCT american_scientific_journal-942 155 1 but but CCONJ american_scientific_journal-942 155 2 when when SCONJ american_scientific_journal-942 155 3 ๐‘š ๐‘š PROPN american_scientific_journal-942 155 4 becomes become VERB american_scientific_journal-942 155 5 larger large ADJ american_scientific_journal-942 155 6 than than ADP american_scientific_journal-942 155 7 ๐‘› ๐‘› PROPN american_scientific_journal-942 155 8 , , PUNCT american_scientific_journal-942 155 9 ๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘œ๐‘œ๐‘› NOUN american_scientific_journal-942 155 10 diverges diverge VERB american_scientific_journal-942 155 11 , , PUNCT american_scientific_journal-942 155 12 while while SCONJ american_scientific_journal-942 155 13 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 155 14 still still ADV american_scientific_journal-942 155 15 converges converge VERB american_scientific_journal-942 155 16 even even ADV american_scientific_journal-942 155 17 after after SCONJ american_scientific_journal-942 155 18 ๐‘› ๐‘› ADJ american_scientific_journal-942 155 19 becomes become VERB american_scientific_journal-942 155 20 larger large ADJ american_scientific_journal-942 155 21 than than ADP american_scientific_journal-942 155 22 ๐‘›. ๐‘›. NOUN american_scientific_journal-942 155 23 hence hence ADV american_scientific_journal-942 155 24 , , PUNCT american_scientific_journal-942 155 25 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 155 26 is be AUX american_scientific_journal-942 155 27 asymptotically asymptotically ADV american_scientific_journal-942 155 28 consistent consistent ADJ american_scientific_journal-942 155 29 . . PUNCT american_scientific_journal-942 156 1 5 5 X american_scientific_journal-942 156 2 . . X american_scientific_journal-942 156 3 conclusion conclusion NOUN american_scientific_journal-942 156 4 the the DET american_scientific_journal-942 156 5 ๐‘š๐‘š๐‘œ๐‘œ๐‘› ๐‘š๐‘š๐‘œ๐‘œ๐‘› PROPN american_scientific_journal-942 156 6 bootstrap bootstrap PROPN american_scientific_journal-942 156 7 method method NOUN american_scientific_journal-942 156 8 for for ADP american_scientific_journal-942 156 9 heavy heavy ADJ american_scientific_journal-942 156 10 - - PUNCT american_scientific_journal-942 156 11 tailed tail VERB american_scientific_journal-942 156 12 distributions distribution NOUN american_scientific_journal-942 156 13 in in ADP american_scientific_journal-942 156 14 large large ADJ american_scientific_journal-942 156 15 and and CCONJ american_scientific_journal-942 156 16 moderate moderate ADJ american_scientific_journal-942 156 17 samples sample NOUN american_scientific_journal-942 156 18 is be AUX american_scientific_journal-942 156 19 justified justify VERB american_scientific_journal-942 156 20 through through ADP american_scientific_journal-942 156 21 its its PRON american_scientific_journal-942 156 22 validity validity NOUN american_scientific_journal-942 156 23 and and CCONJ american_scientific_journal-942 156 24 application application NOUN american_scientific_journal-942 156 25 to to ADP american_scientific_journal-942 156 26 empirical empirical ADJ american_scientific_journal-942 156 27 work work NOUN american_scientific_journal-942 156 28 . . PUNCT american_scientific_journal-942 157 1 the the DET american_scientific_journal-942 157 2 bootstrap bootstrap NOUN american_scientific_journal-942 157 3 estimates estimate NOUN american_scientific_journal-942 157 4 of of ADP american_scientific_journal-942 157 5 standard standard ADJ american_scientific_journal-942 157 6 error error NOUN american_scientific_journal-942 157 7 and and CCONJ american_scientific_journal-942 157 8 other other ADJ american_scientific_journal-942 157 9 measures measure NOUN american_scientific_journal-942 157 10 of of ADP american_scientific_journal-942 157 11 statistical statistical ADJ american_scientific_journal-942 157 12 precision precision NOUN american_scientific_journal-942 157 13 ( ( PUNCT american_scientific_journal-942 157 14 such such ADJ american_scientific_journal-942 157 15 as as ADP american_scientific_journal-942 157 16 absolute absolute ADJ american_scientific_journal-942 157 17 bias bias NOUN american_scientific_journal-942 157 18 , , PUNCT american_scientific_journal-942 157 19 coefficient coefficient NOUN american_scientific_journal-942 157 20 of of ADP american_scientific_journal-942 157 21 variation variation NOUN american_scientific_journal-942 157 22 and and CCONJ american_scientific_journal-942 157 23 root root NOUN american_scientific_journal-942 157 24 mean mean VERB american_scientific_journal-942 157 25 squared square VERB american_scientific_journal-942 157 26 error error NOUN american_scientific_journal-942 157 27 ) ) PUNCT american_scientific_journal-942 157 28 confirmed confirm VERB american_scientific_journal-942 157 29 the the DET american_scientific_journal-942 157 30 reliability reliability NOUN american_scientific_journal-942 157 31 and and CCONJ american_scientific_journal-942 157 32 suitability suitability NOUN american_scientific_journal-942 157 33 of of ADP american_scientific_journal-942 157 34 the the DET american_scientific_journal-942 157 35 method method NOUN american_scientific_journal-942 157 36 in in ADP american_scientific_journal-942 157 37 practice practice NOUN american_scientific_journal-942 157 38 . . PUNCT american_scientific_journal-942 158 1 6 6 X american_scientific_journal-942 158 2 . . X american_scientific_journal-942 158 3 recommendation recommendation NOUN american_scientific_journal-942 158 4 bootstrap bootstrap NOUN american_scientific_journal-942 158 5 researchers researcher NOUN american_scientific_journal-942 158 6 interested interested ADJ american_scientific_journal-942 158 7 in in ADP american_scientific_journal-942 158 8 heavy heavy ADJ american_scientific_journal-942 158 9 - - PUNCT american_scientific_journal-942 158 10 tailed tail VERB american_scientific_journal-942 158 11 distributions distribution NOUN american_scientific_journal-942 158 12 should should AUX american_scientific_journal-942 158 13 decompose decompose VERB american_scientific_journal-942 158 14 the the DET american_scientific_journal-942 158 15 empirical empirical ADJ american_scientific_journal-942 158 16 distribution distribution NOUN american_scientific_journal-942 158 17 before before ADP american_scientific_journal-942 158 18 resampling resample VERB american_scientific_journal-942 158 19 so so SCONJ american_scientific_journal-942 158 20 as as SCONJ american_scientific_journal-942 158 21 to to PART american_scientific_journal-942 158 22 overcome overcome VERB american_scientific_journal-942 158 23 the the DET american_scientific_journal-942 158 24 difficulties difficulty NOUN american_scientific_journal-942 158 25 posed pose VERB american_scientific_journal-942 158 26 by by ADP american_scientific_journal-942 158 27 outliers outlier NOUN american_scientific_journal-942 158 28 . . PUNCT american_scientific_journal-942 159 1 references reference NOUN american_scientific_journal-942 159 2 [ [ X american_scientific_journal-942 159 3 1 1 NUM american_scientific_journal-942 159 4 ] ] PUNCT american_scientific_journal-942 159 5 m. m. PROPN american_scientific_journal-942 159 6 r. r. PROPN american_scientific_journal-942 159 7 chernicks chernicks PROPN american_scientific_journal-942 159 8 . . PUNCT american_scientific_journal-942 160 1 bootstrap bootstrap NOUN american_scientific_journal-942 160 2 methods method NOUN american_scientific_journal-942 160 3 : : PUNCT american_scientific_journal-942 160 4 a a DET american_scientific_journal-942 160 5 guide guide NOUN american_scientific_journal-942 160 6 for for ADP american_scientific_journal-942 160 7 practitioners practitioner NOUN american_scientific_journal-942 160 8 and and CCONJ american_scientific_journal-942 160 9 researchers researcher NOUN american_scientific_journal-942 160 10 . . PUNCT american_scientific_journal-942 161 1 hoboken hoboken PROPN american_scientific_journal-942 161 2 , , PUNCT american_scientific_journal-942 161 3 new new PROPN american_scientific_journal-942 161 4 jersey jersey PROPN american_scientific_journal-942 161 5 : : PUNCT american_scientific_journal-942 161 6 john john PROPN american_scientific_journal-942 161 7 wiley wiley PROPN american_scientific_journal-942 161 8 & & CCONJ american_scientific_journal-942 161 9 sons sons PROPN american_scientific_journal-942 161 10 , , PUNCT american_scientific_journal-942 161 11 inc inc PROPN american_scientific_journal-942 161 12 . . PROPN american_scientific_journal-942 161 13 , , PUNCT american_scientific_journal-942 161 14 2008 2008 NUM american_scientific_journal-942 161 15 , , PUNCT american_scientific_journal-942 161 16 pp pp ADJ american_scientific_journal-942 161 17 . . PUNCT american_scientific_journal-942 162 1 1 1 NUM american_scientific_journal-942 162 2 , , PUNCT american_scientific_journal-942 162 3 50 50 NUM american_scientific_journal-942 162 4 , , PUNCT american_scientific_journal-942 162 5 180 180 NUM american_scientific_journal-942 162 6 . . PUNCT american_scientific_journal-942 163 1 [ [ X american_scientific_journal-942 163 2 2 2 X american_scientific_journal-942 163 3 ] ] PUNCT american_scientific_journal-942 163 4 d. d. NOUN american_scientific_journal-942 163 5 brownstone brownstone PROPN american_scientific_journal-942 163 6 and and CCONJ american_scientific_journal-942 163 7 r. r. PROPN american_scientific_journal-942 163 8 valletta valletta PROPN american_scientific_journal-942 163 9 . . PUNCT american_scientific_journal-942 164 1 โ€œ " PUNCT american_scientific_journal-942 164 2 the the DET american_scientific_journal-942 164 3 bootstrap bootstrap NOUN american_scientific_journal-942 164 4 and and CCONJ american_scientific_journal-942 164 5 multiple multiple ADJ american_scientific_journal-942 164 6 imputations imputation NOUN american_scientific_journal-942 164 7 . . PUNCT american_scientific_journal-942 164 8 โ€ " PUNCT american_scientific_journal-942 164 9 internet internet NOUN american_scientific_journal-942 164 10 : : PUNCT american_scientific_journal-942 164 11 http://www.economics.uci.edu/~dbrownst/bootmi.pdf http://www.economics.uci.edu/~dbrownst/bootmi.pdf PROPN american_scientific_journal-942 164 12 . . PUNCT american_scientific_journal-942 165 1 dec dec PROPN american_scientific_journal-942 165 2 . . PROPN american_scientific_journal-942 165 3 28 28 NUM american_scientific_journal-942 165 4 , , PUNCT american_scientific_journal-942 165 5 2000 2000 NUM american_scientific_journal-942 165 6 . . PUNCT american_scientific_journal-942 166 1 [ [ X american_scientific_journal-942 166 2 feb feb X american_scientific_journal-942 166 3 . . PROPN american_scientific_journal-942 166 4 07 07 NUM american_scientific_journal-942 166 5 , , PUNCT american_scientific_journal-942 166 6 2012 2012 NUM american_scientific_journal-942 166 7 ] ] PUNCT american_scientific_journal-942 166 8 . . PUNCT american_scientific_journal-942 167 1 [ [ X american_scientific_journal-942 167 2 3 3 X american_scientific_journal-942 167 3 ] ] X american_scientific_journal-942 167 4 r. r. PROPN american_scientific_journal-942 167 5 davidson davidson PROPN american_scientific_journal-942 167 6 and and CCONJ american_scientific_journal-942 167 7 e. e. PROPN american_scientific_journal-942 167 8 flachaire flachaire PROPN american_scientific_journal-942 167 9 . . PUNCT american_scientific_journal-942 168 1 ( ( PUNCT american_scientific_journal-942 168 2 2007 2007 NUM american_scientific_journal-942 168 3 , , PUNCT american_scientific_journal-942 168 4 oct oct PROPN american_scientific_journal-942 168 5 . . PROPN american_scientific_journal-942 168 6 ) ) PUNCT american_scientific_journal-942 168 7 . . 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PUNCT american_scientific_journal-942 171 1 [ [ PUNCT american_scientific_journal-942 171 2 on on ADP american_scientific_journal-942 171 3 - - PUNCT american_scientific_journal-942 171 4 line line NOUN american_scientific_journal-942 171 5 ] ] X american_scientific_journal-942 171 6 . . PUNCT american_scientific_journal-942 172 1 141(1 141(1 NUM american_scientific_journal-942 172 2 ) ) PUNCT american_scientific_journal-942 172 3 , , PUNCT american_scientific_journal-942 172 4 pp pp ADP american_scientific_journal-942 172 5 . . PUNCT american_scientific_journal-942 173 1 141 141 NUM american_scientific_journal-942 173 2 - - SYM american_scientific_journal-942 173 3 166 166 NUM american_scientific_journal-942 173 4 . . 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NOUN american_scientific_journal-942 176 5 biewen biewen NOUN american_scientific_journal-942 176 6 ( ( PUNCT american_scientific_journal-942 176 7 2001 2001 NUM american_scientific_journal-942 176 8 , , PUNCT american_scientific_journal-942 176 9 nov nov PROPN american_scientific_journal-942 176 10 . . PROPN american_scientific_journal-942 176 11 ) ) PUNCT american_scientific_journal-942 176 12 . . 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PUNCT american_scientific_journal-942 184 1 โ€œ " PUNCT american_scientific_journal-942 184 2 statistical statistical ADJ american_scientific_journal-942 184 3 inference inference NOUN american_scientific_journal-942 184 4 via via ADP american_scientific_journal-942 184 5 bootstrapping bootstrappe VERB american_scientific_journal-942 184 6 for for ADP american_scientific_journal-942 184 7 measures measure NOUN american_scientific_journal-942 184 8 of of ADP american_scientific_journal-942 184 9 inequality inequality NOUN american_scientific_journal-942 184 10 โ€ " PUNCT american_scientific_journal-942 184 11 internet internet NOUN american_scientific_journal-942 184 12 : : PUNCT american_scientific_journal-942 184 13 http://www.levyinstitute.org/publications/statistical-inference-via-bootstrapping-for-measures-of-inequality http://www.levyinstitute.org/publications/statistical-inference-via-bootstrapping-for-measures-of-inequality PROPN american_scientific_journal-942 184 14 , , PUNCT american_scientific_journal-942 184 15 feb feb PROPN american_scientific_journal-942 184 16 . . 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NOUN american_scientific_journal-942 188 41 antoniadis antoniadis PROPN american_scientific_journal-942 188 42 . . PUNCT american_scientific_journal-942 189 1 โ€œ " PUNCT american_scientific_journal-942 189 2 bootstrap bootstrap NOUN american_scientific_journal-942 189 3 methods method NOUN american_scientific_journal-942 189 4 : : PUNCT american_scientific_journal-942 189 5 recent recent ADJ american_scientific_journal-942 189 6 advances advance NOUN american_scientific_journal-942 189 7 and and CCONJ american_scientific_journal-942 189 8 new new ADJ american_scientific_journal-942 189 9 applications application NOUN american_scientific_journal-942 189 10 . . PUNCT american_scientific_journal-942 189 11 โ€ " PUNCT american_scientific_journal-942 190 1 internet internet NOUN american_scientific_journal-942 190 2 : : PUNCT american_scientific_journal-942 191 1 http://www http://www PROPN american_scientific_journal-942 191 2 . . PUNCT american_scientific_journal-942 191 3 mescal.imag.fr/membres/yves.denneulin/lascar/page2/files/bootstrapaa.pdf mescal.imag.fr/membres/yves.denneulin/lascar/page2/files/bootstrapaa.pdf PROPN american_scientific_journal-942 191 4 , , PUNCT american_scientific_journal-942 191 5 oct oct PROPN american_scientific_journal-942 191 6 . . PROPN american_scientific_journal-942 191 7 2007 2007 NUM american_scientific_journal-942 191 8 . . PUNCT american_scientific_journal-942 192 1 [ [ X american_scientific_journal-942 192 2 jun jun PROPN american_scientific_journal-942 192 3 . . PROPN american_scientific_journal-942 192 4 14 14 NUM american_scientific_journal-942 192 5 , , PUNCT american_scientific_journal-942 192 6 2012 2012 NUM american_scientific_journal-942 192 7 ] ] PUNCT american_scientific_journal-942 193 1 [ [ X american_scientific_journal-942 193 2 8 8 X american_scientific_journal-942 193 3 ] ] PUNCT american_scientific_journal-942 193 4 k. k. PROPN american_scientific_journal-942 193 5 singh singh PROPN american_scientific_journal-942 193 6 and and CCONJ american_scientific_journal-942 193 7 m. m. PROPN american_scientific_journal-942 193 8 xie xie PROPN american_scientific_journal-942 193 9 . . PUNCT american_scientific_journal-942 194 1 โ€œ " PUNCT american_scientific_journal-942 194 2 bootstrap bootstrap NOUN american_scientific_journal-942 194 3 : : PUNCT american_scientific_journal-942 194 4 a a DET american_scientific_journal-942 194 5 statistical statistical ADJ american_scientific_journal-942 194 6 method method NOUN american_scientific_journal-942 194 7 . . PUNCT american_scientific_journal-942 194 8 โ€ " PUNCT american_scientific_journal-942 195 1 internet internet NOUN american_scientific_journal-942 195 2 : : PUNCT american_scientific_journal-942 195 3 www.stat.rutgers.edu/home/mxie/rcpapers www.stat.rutgers.edu/home/mxie/rcpaper NOUN american_scientific_journal-942 195 4 /bootstrap.pdf /bootstrap.pdf PUNCT american_scientific_journal-942 195 5 , , PUNCT american_scientific_journal-942 195 6 [ [ X american_scientific_journal-942 195 7 feb feb X american_scientific_journal-942 195 8 . . PROPN american_scientific_journal-942 195 9 08 08 NUM american_scientific_journal-942 195 10 , , PUNCT american_scientific_journal-942 195 11 2012 2012 NUM american_scientific_journal-942 195 12 ] ] PUNCT american_scientific_journal-942 195 13 . . PUNCT american_scientific_journal-942 196 1 [ [ X american_scientific_journal-942 196 2 9 9 X american_scientific_journal-942 196 3 ] ] PUNCT american_scientific_journal-942 196 4 p. p. NOUN american_scientific_journal-942 196 5 j. j. PROPN american_scientific_journal-942 196 6 bickel bickel PROPN american_scientific_journal-942 196 7 and and CCONJ american_scientific_journal-942 196 8 a. a. NOUN american_scientific_journal-942 196 9 sakov sakov PROPN american_scientific_journal-942 196 10 ( ( PUNCT american_scientific_journal-942 196 11 2002 2002 NUM american_scientific_journal-942 196 12 , , PUNCT american_scientific_journal-942 196 13 apr apr PROPN american_scientific_journal-942 196 14 . . PUNCT american_scientific_journal-942 196 15 ) ) PUNCT american_scientific_journal-942 196 16 . . PUNCT american_scientific_journal-942 197 1 โ€œ " PUNCT american_scientific_journal-942 197 2 extrapolation extrapolation NOUN american_scientific_journal-942 197 3 and and CCONJ american_scientific_journal-942 197 4 the the DET american_scientific_journal-942 197 5 boostrap boostrap NOUN american_scientific_journal-942 197 6 . . PUNCT american_scientific_journal-942 197 7 โ€ " PUNCT american_scientific_journal-942 198 1 the the DET american_scientific_journal-942 198 2 indian indian PROPN american_scientific_journal-942 198 3 journal journal PROPN american_scientific_journal-942 198 4 of of ADP american_scientific_journal-942 198 5 statistics statistic NOUN american_scientific_journal-942 198 6 . . PUNCT american_scientific_journal-942 199 1 [ [ X american_scientific_journal-942 199 2 on on ADP american_scientific_journal-942 199 3 - - PUNCT american_scientific_journal-942 199 4 line line NOUN american_scientific_journal-942 199 5 ] ] PUNCT american_scientific_journal-942 199 6 . . PUNCT american_scientific_journal-942 199 7 64(3 64(3 NOUN american_scientific_journal-942 199 8 ) ) PUNCT american_scientific_journal-942 199 9 , , PUNCT american_scientific_journal-942 199 10 pp pp PROPN american_scientific_journal-942 199 11 . . PUNCT american_scientific_journal-942 200 1 640652 640652 NUM american_scientific_journal-942 200 2 . . PUNCT american_scientific_journal-942 201 1 available available ADJ american_scientific_journal-942 201 2 : : PUNCT american_scientific_journal-942 201 3 http://www.jstor.org/stable/25051419 http://www.jstor.org/stable/25051419 PROPN american_scientific_journal-942 202 1 [ [ X american_scientific_journal-942 202 2 nov nov PROPN american_scientific_journal-942 202 3 . . PROPN american_scientific_journal-942 202 4 13 13 NUM american_scientific_journal-942 202 5 , , PUNCT american_scientific_journal-942 202 6 2014 2014 NUM american_scientific_journal-942 202 7 ] ] PUNCT american_scientific_journal-942 202 8 . . PUNCT american_scientific_journal-942 203 1 [ [ X american_scientific_journal-942 203 2 10 10 NUM american_scientific_journal-942 203 3 ] ] X american_scientific_journal-942 203 4 s. s. PROPN american_scientific_journal-942 203 5 m. m. PROPN american_scientific_journal-942 203 6 s. s. PROPN american_scientific_journal-942 203 7 lee lee PROPN american_scientific_journal-942 203 8 and and CCONJ american_scientific_journal-942 203 9 m. m. PROPN american_scientific_journal-942 203 10 c. c. PROPN american_scientific_journal-942 203 11 pun pun PROPN american_scientific_journal-942 203 12 ( ( PUNCT american_scientific_journal-942 203 13 2006 2006 NUM american_scientific_journal-942 203 14 , , PUNCT american_scientific_journal-942 203 15 sep sep PROPN american_scientific_journal-942 203 16 . . PUNCT american_scientific_journal-942 203 17 ) ) PUNCT american_scientific_journal-942 203 18 . . PUNCT american_scientific_journal-942 204 1 โ€œ " PUNCT american_scientific_journal-942 204 2 on on ADP american_scientific_journal-942 204 3 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 204 4 โˆ’ โˆ’ PROPN american_scientific_journal-942 204 5 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 204 6 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 204 7 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 204 8 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 204 9 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 204 10 โˆ’ โˆ’ PROPN american_scientific_journal-942 204 11 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-942 204 12 boostrapping boostrapping NOUN american_scientific_journal-942 204 13 for for ADP american_scientific_journal-942 204 14 non non X american_scientific_journal-942 204 15 standard standard ADJ american_scientific_journal-942 204 16 mestimation mestimation NOUN american_scientific_journal-942 204 17 with with ADP american_scientific_journal-942 204 18 nuisance nuisance ADJ american_scientific_journal-942 204 19 parameters parameter NOUN american_scientific_journal-942 204 20 . . PUNCT american_scientific_journal-942 204 21 โ€ " PUNCT american_scientific_journal-942 204 22 journal journal NOUN american_scientific_journal-942 204 23 of of ADP american_scientific_journal-942 204 24 american american PROPN american_scientific_journal-942 204 25 statistics statistics PROPN american_scientific_journal-942 204 26 association association PROPN american_scientific_journal-942 204 27 . . PUNCT american_scientific_journal-942 205 1 [ [ X american_scientific_journal-942 205 2 on on ADP american_scientific_journal-942 205 3 - - PUNCT american_scientific_journal-942 205 4 line line NOUN american_scientific_journal-942 205 5 ] ] PUNCT american_scientific_journal-942 205 6 . . PUNCT american_scientific_journal-942 205 7 101(475 101(475 NUM american_scientific_journal-942 205 8 ) ) PUNCT american_scientific_journal-942 205 9 , , PUNCT american_scientific_journal-942 205 10 pp pp ADP american_scientific_journal-942 205 11 . . PUNCT american_scientific_journal-942 206 1 1185 1185 NUM american_scientific_journal-942 206 2 - - SYM american_scientific_journal-942 206 3 1197 1197 NUM american_scientific_journal-942 206 4 . . PUNCT american_scientific_journal-942 207 1 available available ADJ american_scientific_journal-942 207 2 : : PUNCT american_scientific_journal-942 208 1 http://www.jstor.org/stable/27590794 http://www.jstor.org/stable/27590794 X american_scientific_journal-942 209 1 [ [ X american_scientific_journal-942 209 2 jan jan PROPN american_scientific_journal-942 209 3 . . PROPN american_scientific_journal-942 209 4 20 20 NUM american_scientific_journal-942 209 5 , , PUNCT american_scientific_journal-942 209 6 2015 2015 NUM american_scientific_journal-942 209 7 ] ] PUNCT american_scientific_journal-942 209 8 . . PUNCT american_scientific_journal-942 210 1 [ [ X american_scientific_journal-942 210 2 11 11 NUM american_scientific_journal-942 210 3 ] ] PUNCT american_scientific_journal-942 210 4 p. p. PROPN american_scientific_journal-942 210 5 j. j. PROPN american_scientific_journal-942 210 6 bickel bickel PROPN american_scientific_journal-942 210 7 and and CCONJ american_scientific_journal-942 210 8 d. d. PROPN american_scientific_journal-942 210 9 a. a. PROPN american_scientific_journal-942 210 10 freedman freedman PROPN american_scientific_journal-942 210 11 ( ( PUNCT american_scientific_journal-942 210 12 1981 1981 NUM american_scientific_journal-942 210 13 , , PUNCT american_scientific_journal-942 210 14 mar mar PROPN american_scientific_journal-942 210 15 . . PROPN american_scientific_journal-942 210 16 ) ) PUNCT american_scientific_journal-942 210 17 . . PUNCT american_scientific_journal-942 211 1 โ€œ " PUNCT american_scientific_journal-942 211 2 some some DET american_scientific_journal-942 211 3 asymptotic asymptotic ADJ american_scientific_journal-942 211 4 theory theory NOUN american_scientific_journal-942 211 5 for for ADP american_scientific_journal-942 211 6 the the DET american_scientific_journal-942 211 7 bootstrap bootstrap NOUN american_scientific_journal-942 211 8 . . PUNCT american_scientific_journal-942 211 9 โ€ " PUNCT american_scientific_journal-942 212 1 the the DET american_scientific_journal-942 212 2 annals annal NOUN american_scientific_journal-942 212 3 of of ADP american_scientific_journal-942 212 4 statistics statistic NOUN american_scientific_journal-942 212 5 . . PUNCT american_scientific_journal-942 213 1 [ [ X american_scientific_journal-942 213 2 on on ADP american_scientific_journal-942 213 3 - - PUNCT american_scientific_journal-942 213 4 line line NOUN american_scientific_journal-942 213 5 ] ] PUNCT american_scientific_journal-942 213 6 . . PUNCT american_scientific_journal-942 214 1 9(6 9(6 NUM american_scientific_journal-942 214 2 ) ) PUNCT american_scientific_journal-942 214 3 , , PUNCT american_scientific_journal-942 214 4 pp pp PROPN american_scientific_journal-942 214 5 . . PUNCT american_scientific_journal-942 215 1 1196 1196 NUM american_scientific_journal-942 215 2 - - SYM american_scientific_journal-942 215 3 1217 1217 NUM american_scientific_journal-942 215 4 . . PUNCT american_scientific_journal-942 216 1 available available ADJ american_scientific_journal-942 216 2 : : PUNCT american_scientific_journal-942 217 1 http://projecteuclid.org/download/pdf_1/euclid.aos/1176345637 http://projecteuclid.org/download/pdf_1/euclid.aos/1176345637 PROPN american_scientific_journal-942 217 2 , , PUNCT american_scientific_journal-942 217 3 [ [ X american_scientific_journal-942 217 4 feb feb X american_scientific_journal-942 217 5 . . PROPN american_scientific_journal-942 217 6 08 08 NUM american_scientific_journal-942 217 7 , , PUNCT american_scientific_journal-942 217 8 2012 2012 NUM american_scientific_journal-942 217 9 ] ] PUNCT american_scientific_journal-942 217 10 . . PUNCT american_scientific_journal-942 218 1 [ [ X american_scientific_journal-942 218 2 12 12 NUM american_scientific_journal-942 218 3 ] ] X american_scientific_journal-942 218 4 b. b. PROPN american_scientific_journal-942 218 5 sen sen PROPN american_scientific_journal-942 218 6 , , PUNCT american_scientific_journal-942 218 7 m. m. NOUN american_scientific_journal-942 218 8 banerjee banerjee PROPN american_scientific_journal-942 218 9 and and CCONJ american_scientific_journal-942 218 10 m. m. NOUN american_scientific_journal-942 218 11 woodroofe woodroofe NOUN american_scientific_journal-942 218 12 ( ( PUNCT american_scientific_journal-942 218 13 2010 2010 NUM american_scientific_journal-942 218 14 , , PUNCT american_scientific_journal-942 218 15 oct oct PROPN american_scientific_journal-942 218 16 . . PROPN american_scientific_journal-942 218 17 ) ) PUNCT american_scientific_journal-942 218 18 . . PUNCT american_scientific_journal-942 219 1 โ€œ " PUNCT american_scientific_journal-942 219 2 inconsistency inconsistency NOUN american_scientific_journal-942 219 3 of of ADP american_scientific_journal-942 219 4 bootstrap bootstrap NOUN american_scientific_journal-942 219 5 : : PUNCT american_scientific_journal-942 219 6 the the DET american_scientific_journal-942 219 7 grenander grenander NOUN american_scientific_journal-942 219 8 estimator estimator NOUN american_scientific_journal-942 219 9 . . PUNCT american_scientific_journal-942 219 10 โ€ " PUNCT american_scientific_journal-942 220 1 the the DET american_scientific_journal-942 220 2 annals annal NOUN american_scientific_journal-942 220 3 of of ADP american_scientific_journal-942 220 4 statistics statistic NOUN american_scientific_journal-942 220 5 . . PUNCT american_scientific_journal-942 221 1 [ [ X american_scientific_journal-942 221 2 on on ADP american_scientific_journal-942 221 3 - - PUNCT american_scientific_journal-942 221 4 line line NOUN american_scientific_journal-942 221 5 ] ] PUNCT american_scientific_journal-942 221 6 . . PUNCT american_scientific_journal-942 221 7 38(4 38(4 NUM american_scientific_journal-942 221 8 ) ) PUNCT american_scientific_journal-942 221 9 , , PUNCT american_scientific_journal-942 221 10 pp pp ADP american_scientific_journal-942 221 11 . . PUNCT american_scientific_journal-942 222 1 1953 1953 NUM american_scientific_journal-942 222 2 - - SYM american_scientific_journal-942 222 3 1977 1977 NUM american_scientific_journal-942 222 4 . . PUNCT american_scientific_journal-942 223 1 available available ADJ american_scientific_journal-942 223 2 : : PUNCT american_scientific_journal-942 224 1 http://arxiv.org/abs/1010.3825 http://arxiv.org/abs/1010.3825 PROPN american_scientific_journal-942 224 2 , , PUNCT american_scientific_journal-942 224 3 [ [ X american_scientific_journal-942 224 4 feb feb X american_scientific_journal-942 224 5 . . PROPN american_scientific_journal-942 224 6 17 17 NUM american_scientific_journal-942 224 7 , , PUNCT american_scientific_journal-942 224 8 2012 2012 NUM american_scientific_journal-942 224 9 ] ] PUNCT american_scientific_journal-942 224 10 . . PUNCT american_scientific_journal-942 225 1 [ [ X american_scientific_journal-942 225 2 13 13 NUM american_scientific_journal-942 225 3 ] ] PUNCT american_scientific_journal-942 225 4 m. m. NOUN american_scientific_journal-942 225 5 r r NOUN american_scientific_journal-942 225 6 chernicks chernick NOUN american_scientific_journal-942 225 7 and and CCONJ american_scientific_journal-942 225 8 r. r. PROPN american_scientific_journal-942 225 9 a. a. PROPN american_scientific_journal-942 225 10 labudde labudde PROPN american_scientific_journal-942 225 11 . . PUNCT american_scientific_journal-942 226 1 ( ( PUNCT american_scientific_journal-942 226 2 2011 2011 NUM american_scientific_journal-942 226 3 , , PUNCT american_scientific_journal-942 226 4 nov nov PROPN american_scientific_journal-942 226 5 . . PROPN american_scientific_journal-942 226 6 1 1 NUM american_scientific_journal-942 226 7 ) ) PUNCT american_scientific_journal-942 226 8 . . PUNCT american_scientific_journal-942 227 1 an an DET american_scientific_journal-942 227 2 introduction introduction NOUN american_scientific_journal-942 227 3 to to ADP american_scientific_journal-942 227 4 bootstrap bootstrap NOUN american_scientific_journal-942 227 5 methods method NOUN american_scientific_journal-942 227 6 with with ADP american_scientific_journal-942 227 7 applications application NOUN american_scientific_journal-942 227 8 to to ADP american_scientific_journal-942 227 9 r. r. PROPN american_scientific_journal-942 227 10 ( ( PUNCT american_scientific_journal-942 227 11 1st 1st PROPN american_scientific_journal-942 227 12 edition edition NOUN american_scientific_journal-942 227 13 ) ) PUNCT american_scientific_journal-942 228 1 [ [ X american_scientific_journal-942 228 2 on on ADP american_scientific_journal-942 228 3 - - PUNCT american_scientific_journal-942 228 4 line line NOUN american_scientific_journal-942 228 5 ] ] PUNCT american_scientific_journal-942 228 6 . . PUNCT american_scientific_journal-942 229 1 available available ADJ american_scientific_journal-942 229 2 : : PUNCT american_scientific_journal-942 230 1 http://nnpdf.pillaroftheworld.com/an-introduction-tobootstrap-methods-robert-a-labudde-96621231.pdf http://nnpdf.pillaroftheworld.com/an-introduction-tobootstrap-methods-robert-a-labudde-96621231.pdf PROPN american_scientific_journal-942 230 2 [ [ X american_scientific_journal-942 230 3 jun jun PROPN american_scientific_journal-942 230 4 . . PROPN american_scientific_journal-942 230 5 14 14 NUM american_scientific_journal-942 230 6 , , PUNCT american_scientific_journal-942 230 7 2012 2012 NUM american_scientific_journal-942 230 8 ] ] PUNCT american_scientific_journal-942 230 9 . . PUNCT american_scientific_journal-942 231 1 [ [ X american_scientific_journal-942 231 2 14 14 NUM american_scientific_journal-942 231 3 ] ] X american_scientific_journal-942 231 4 t.o t.o PROPN american_scientific_journal-942 231 5 olatayo olatayo NOUN american_scientific_journal-942 231 6 , , PUNCT american_scientific_journal-942 231 7 g.n g.n PROPN american_scientific_journal-942 231 8 . . PROPN american_scientific_journal-942 231 9 amahia amahia PROPN american_scientific_journal-942 231 10 and and CCONJ american_scientific_journal-942 231 11 t.o t.o PROPN american_scientific_journal-942 231 12 . . PROPN american_scientific_journal-942 231 13 obilade obilade PROPN american_scientific_journal-942 231 14 . . PUNCT american_scientific_journal-942 232 1 ( ( PUNCT american_scientific_journal-942 232 2 2010 2010 NUM american_scientific_journal-942 232 3 ) ) PUNCT american_scientific_journal-942 232 4 . . PUNCT american_scientific_journal-942 233 1 โ€œ " PUNCT american_scientific_journal-942 233 2 bootstrap bootstrap NOUN american_scientific_journal-942 233 3 method method NOUN american_scientific_journal-942 233 4 for for ADP american_scientific_journal-942 233 5 dependent dependent ADJ american_scientific_journal-942 233 6 data datum NOUN american_scientific_journal-942 233 7 structure structure NOUN american_scientific_journal-942 233 8 and and CCONJ american_scientific_journal-942 233 9 measure measure NOUN american_scientific_journal-942 233 10 of of ADP american_scientific_journal-942 233 11 statistical statistical ADJ american_scientific_journal-942 233 12 precision precision NOUN american_scientific_journal-942 233 13 . . PUNCT american_scientific_journal-942 233 14 โ€ " PUNCT american_scientific_journal-942 234 1 .journal .journal PROPN american_scientific_journal-942 234 2 of of ADP american_scientific_journal-942 234 3 mathematics mathematic NOUN american_scientific_journal-942 234 4 and and CCONJ american_scientific_journal-942 234 5 statistics statistic NOUN american_scientific_journal-942 234 6 . . PUNCT american_scientific_journal-942 235 1 [ [ X american_scientific_journal-942 235 2 on on ADP american_scientific_journal-942 235 3 - - PUNCT american_scientific_journal-942 235 4 line line NOUN american_scientific_journal-942 235 5 ] ] PUNCT american_scientific_journal-942 235 6 . . PUNCT american_scientific_journal-942 235 7 6(2 6(2 NUM american_scientific_journal-942 235 8 ) ) PUNCT american_scientific_journal-942 235 9 , , PUNCT american_scientific_journal-942 235 10 pp pp ADP american_scientific_journal-942 235 11 . . PUNCT american_scientific_journal-942 236 1 84 84 NUM american_scientific_journal-942 236 2 - - SYM american_scientific_journal-942 236 3 88 88 NUM american_scientific_journal-942 236 4 . . PUNCT american_scientific_journal-942 237 1 available available ADJ american_scientific_journal-942 237 2 : : PUNCT american_scientific_journal-942 238 1 http://thescipubl.com/abstract/10.3844/jmssp.2010.84.88 http://thescipubl.com/abstract/10.3844/jmssp.2010.84.88 NOUN american_scientific_journal-942 238 2 , , PUNCT american_scientific_journal-942 239 1 [ [ X american_scientific_journal-942 239 2 jun jun PROPN american_scientific_journal-942 239 3 . . PROPN american_scientific_journal-942 239 4 08 08 NUM american_scientific_journal-942 239 5 , , PUNCT american_scientific_journal-942 239 6 2012 2012 NUM american_scientific_journal-942 239 7 ] ] PUNCT american_scientific_journal-942 239 8 . . PUNCT american_scientific_journal-942 240 1 [ [ X american_scientific_journal-942 240 2 15 15 NUM american_scientific_journal-942 240 3 ] ] X american_scientific_journal-942 240 4 a. a. NOUN american_scientific_journal-942 240 5 c. c. PROPN american_scientific_journal-942 240 6 davison davison PROPN american_scientific_journal-942 240 7 and and CCONJ american_scientific_journal-942 240 8 d. d. PROPN american_scientific_journal-942 240 9 kuonen kuonen PROPN american_scientific_journal-942 240 10 . . PUNCT american_scientific_journal-942 241 1 ( ( PUNCT american_scientific_journal-942 241 2 2002 2002 NUM american_scientific_journal-942 241 3 ) ) PUNCT american_scientific_journal-942 241 4 . . PUNCT american_scientific_journal-942 242 1 โ€œ " PUNCT american_scientific_journal-942 242 2 an an DET american_scientific_journal-942 242 3 introduction introduction NOUN american_scientific_journal-942 242 4 to to ADP american_scientific_journal-942 242 5 the the DET american_scientific_journal-942 242 6 bootstrap bootstrap NOUN american_scientific_journal-942 242 7 with with ADP american_scientific_journal-942 242 8 applications application NOUN american_scientific_journal-942 242 9 in in ADP american_scientific_journal-942 242 10 r. r. PROPN american_scientific_journal-942 242 11 โ€ " PUNCT american_scientific_journal-942 242 12 statistical statistical ADJ american_scientific_journal-942 242 13 computing computing NOUN american_scientific_journal-942 242 14 and and CCONJ american_scientific_journal-942 242 15 graphics graphic NOUN american_scientific_journal-942 242 16 newsletter newsletter NOUN american_scientific_journal-942 242 17 . . PUNCT american_scientific_journal-942 243 1 [ [ X american_scientific_journal-942 243 2 on on ADP american_scientific_journal-942 243 3 - - PUNCT american_scientific_journal-942 243 4 line line NOUN american_scientific_journal-942 243 5 ] ] PUNCT american_scientific_journal-942 243 6 . . PUNCT american_scientific_journal-942 244 1 13(1 13(1 X american_scientific_journal-942 244 2 ) ) PUNCT american_scientific_journal-942 244 3 , , PUNCT american_scientific_journal-942 244 4 pp pp ADP american_scientific_journal-942 244 5 . . PUNCT american_scientific_journal-942 245 1 6 6 NUM american_scientific_journal-942 245 2 - - SYM american_scientific_journal-942 245 3 11 11 NUM american_scientific_journal-942 245 4 . . PUNCT american_scientific_journal-942 246 1 available available ADJ american_scientific_journal-942 246 2 : : PUNCT american_scientific_journal-942 247 1 http://www.statoo.com/en/publications/bootstrap_scgn_v131.pdf http://www.statoo.com/en/publications/bootstrap_scgn_v131.pdf PROPN american_scientific_journal-942 248 1 [ [ X american_scientific_journal-942 248 2 aug aug PROPN american_scientific_journal-942 248 3 . . PROPN american_scientific_journal-942 248 4 22 22 NUM american_scientific_journal-942 248 5 , , PUNCT american_scientific_journal-942 248 6 2012 2012 NUM american_scientific_journal-942 248 7 ] ] PUNCT american_scientific_journal-942 248 8 . . PUNCT american_scientific_journal-942 249 1 155 155 NUM american_scientific_journal-942 249 2 http://www.stat.rutgers.edu/ http://www.stat.rutgers.edu/ ADV american_scientific_journal-942 249 3 http://www.jstor.org/stable/27590794 http://www.jstor.org/stable/27590794 PROPN american_scientific_journal-942 249 4 http://arxiv.org/abs/1010.3825 http://arxiv.org/abs/1010.3825 PROPN american_scientific_journal-942 249 5 http://thescipubl.com/abstract/10.3844/jmssp.2010.84.88 http://thescipubl.com/abstract/10.3844/jmssp.2010.84.88 PUNCT american_scientific_journal-942 250 1 = = PUNCT american_scientific_journal-942 250 2 ๐‘ ๐‘’,,๐œƒ ๐‘ ๐‘’,,๐œƒ PROPN american_scientific_journal-942 250 3 ... ... PUNCT american_scientific_journal-942 250 4 ,1+,,,๐‘๐‘–๐‘Ž๐‘ -๐‘ ๐‘’ ,1+,,,๐‘๐‘–๐‘Ž๐‘ -๐‘ ๐‘’ X american_scientific_journal-942 250 5 .. .. PUNCT american_scientific_journal-942 250 6 -2 -2 NUM american_scientific_journal-942 250 7 .. .. PUNCT