id sid tid token lemma pos iajs-1812 1 1 microsoft microsoft PROPN iajs-1812 1 2 word word NOUN iajs-1812 1 3 392 392 NUM iajs-1812 1 4 - - SYM iajs-1812 1 5 403 403 NUM iajs-1812 1 6 ihsciconf ihsciconf NOUN iajs-1812 1 7 2017 2017 NUM iajs-1812 1 8 special special ADJ iajs-1812 1 9 issue issue NOUN iajs-1812 1 10 ibn ibn PROPN iajs-1812 1 11 al al PROPN iajs-1812 1 12 - - PUNCT iajs-1812 1 13 haitham haitham PROPN iajs-1812 1 14 journal journal PROPN iajs-1812 1 15 for for ADP iajs-1812 1 16 pure pure ADJ iajs-1812 1 17 and and CCONJ iajs-1812 1 18 applied apply VERB iajs-1812 1 19 science science NOUN iajs-1812 1 20 https://doi.org/ https://doi.org/ NOUN iajs-1812 1 21 10.30526/2017.ihsciconf.1812 10.30526/2017.ihsciconf.1812 NUM iajs-1812 1 22 for for ADP iajs-1812 1 23 more more ADJ iajs-1812 1 24 information information NOUN iajs-1812 1 25 about about ADP iajs-1812 1 26 the the DET iajs-1812 1 27 conference conference NOUN iajs-1812 1 28 please please INTJ iajs-1812 1 29 visit visit VERB iajs-1812 1 30 the the DET iajs-1812 1 31 websites website NOUN iajs-1812 1 32 : : PUNCT iajs-1812 1 33 http://www.ihsciconf.org/conf/ http://www.ihsciconf.org/conf/ VERB iajs-1812 1 34     SPACE iajs-1812 1 35 www.ihsciconf.org www.ihsciconf.org ADJ iajs-1812 1 36       SPACE iajs-1812 1 37 mathematics mathematic NOUN iajs-1812 1 38 |392 |392 NOUN iajs-1812 1 39     SPACE iajs-1812 1 40 on on ADP iajs-1812 1 41 estimating estimate VERB iajs-1812 1 42 the the DET iajs-1812 1 43 survival survival NOUN iajs-1812 1 44 function function NOUN iajs-1812 1 45 for for ADP iajs-1812 1 46 the the DET iajs-1812 1 47 patients patient NOUN iajs-1812 1 48 suffer suffer VERB iajs-1812 1 49 from from ADP iajs-1812 1 50 the the DET iajs-1812 1 51 lung lung NOUN iajs-1812 1 52 cancer cancer NOUN iajs-1812 1 53 disease disease NOUN iajs-1812 1 54 abbas abbas PROPN iajs-1812 1 55 n. n. 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PROPN iajs-1812 2 22 farhan farhan PROPN iajs-1812 2 23 education education PROPN iajs-1812 2 24 directorate directorate ADJ iajs-1812 2 25 rusafa rusafa PROPN iajs-1812 2 26 -al -al PUNCT iajs-1812 2 27 ministry ministry PROPN iajs-1812 2 28 of of ADP iajs-1812 2 29 education education PROPN iajs-1812 2 30 , , PUNCT iajs-1812 2 31 2nd 2nd ADJ iajs-1812 2 32 maymona maymona PROPN iajs-1812 2 33 m.ameen m.ameen ADJ iajs-1812 2 34 university university PROPN iajs-1812 2 35 of of ADP iajs-1812 2 36 fallujah fallujah PROPN iajs-1812 2 37 adel adel PROPN iajs-1812 2 38 abdulkadhim abdulkadhim PROPN iajs-1812 2 39 hussein hussein PROPN iajs-1812 2 40 dept dept PROPN iajs-1812 2 41 . . PROPN iajs-1812 3 1 of of ADP iajs-1812 3 2 mathematics/ mathematics/ NUM iajs-1812 3 3 college college NOUN iajs-1812 3 4 of of ADP iajs-1812 3 5 education education NOUN iajs-1812 3 6 for for ADP iajs-1812 3 7 pure pure ADJ iajs-1812 3 8 science science NOUN iajs-1812 3 9 ( ( PUNCT iajs-1812 3 10 ibn ibn PROPN iajs-1812 3 11 al al PROPN iajs-1812 3 12 - - PUNCT iajs-1812 3 13 haitham)/ haitham)/ PROPN iajs-1812 3 14 university university NOUN iajs-1812 3 15 of of ADP iajs-1812 3 16 baghdad baghdad PROPN iajs-1812 3 17 abstract abstract ADV iajs-1812 3 18 in in ADP iajs-1812 3 19 this this DET iajs-1812 3 20 paper paper NOUN iajs-1812 3 21 , , PUNCT iajs-1812 3 22 the the DET iajs-1812 3 23 survival survival NOUN iajs-1812 3 24 function function NOUN iajs-1812 3 25 has have AUX iajs-1812 3 26 been be AUX iajs-1812 3 27 estimated estimate VERB iajs-1812 3 28 for for ADP iajs-1812 3 29 the the DET iajs-1812 3 30 patients patient NOUN iajs-1812 3 31 with with ADP iajs-1812 3 32 lung lung NOUN iajs-1812 3 33 cancer cancer NOUN iajs-1812 3 34 using use VERB iajs-1812 3 35 different different ADJ iajs-1812 3 36 parametric parametric ADJ iajs-1812 3 37 estimation estimation NOUN iajs-1812 3 38 methods method NOUN iajs-1812 3 39 depending depend VERB iajs-1812 3 40 on on ADP iajs-1812 3 41 sample sample NOUN iajs-1812 3 42 for for ADP iajs-1812 3 43 completing complete VERB iajs-1812 3 44 real real ADJ iajs-1812 3 45 data datum NOUN iajs-1812 3 46 which which PRON iajs-1812 3 47 explain explain VERB iajs-1812 3 48 the the DET iajs-1812 3 49 period period NOUN iajs-1812 3 50 of of ADP iajs-1812 3 51 survival survival NOUN iajs-1812 3 52 for for ADP iajs-1812 3 53 patients patient NOUN iajs-1812 3 54 who who PRON iajs-1812 3 55 were be AUX iajs-1812 3 56 ill ill ADJ iajs-1812 3 57 with with ADP iajs-1812 3 58 the the DET iajs-1812 3 59 lung lung NOUN iajs-1812 3 60 cancer cancer NOUN iajs-1812 3 61 based base VERB iajs-1812 3 62 on on ADP iajs-1812 3 63 the the DET iajs-1812 3 64 diagnosis diagnosis NOUN iajs-1812 3 65 of of ADP iajs-1812 3 66 disease disease NOUN iajs-1812 3 67 or or CCONJ iajs-1812 3 68 the the DET iajs-1812 3 69 entire entire NOUN iajs-1812 3 70 of of ADP iajs-1812 3 71 patients patient NOUN iajs-1812 3 72 in in ADP iajs-1812 3 73 a a DET iajs-1812 3 74 hospital hospital NOUN iajs-1812 3 75 for for ADP iajs-1812 3 76 a a DET iajs-1812 3 77 time time NOUN iajs-1812 3 78 of of ADP iajs-1812 3 79 two two NUM iajs-1812 3 80 years year NOUN iajs-1812 3 81 ( ( PUNCT iajs-1812 3 82 starting start VERB iajs-1812 3 83 with with ADP iajs-1812 3 84 2012 2012 NUM iajs-1812 3 85 to to ADP iajs-1812 3 86 the the DET iajs-1812 3 87 end end NOUN iajs-1812 3 88 of of ADP iajs-1812 3 89 2013 2013 NUM iajs-1812 3 90 ) ) PUNCT iajs-1812 3 91 . . PUNCT iajs-1812 4 1 comparisons comparison NOUN iajs-1812 4 2 between between ADP iajs-1812 4 3 the the DET iajs-1812 4 4 mentioned mention VERB iajs-1812 4 5 estimation estimation NOUN iajs-1812 4 6 methods method NOUN iajs-1812 4 7 has have AUX iajs-1812 4 8 been be AUX iajs-1812 4 9 performed perform VERB iajs-1812 4 10 using use VERB iajs-1812 4 11 statistical statistical ADJ iajs-1812 4 12 indicator indicator NOUN iajs-1812 4 13 mean mean PROPN iajs-1812 4 14 squares square NOUN iajs-1812 4 15 error error NOUN iajs-1812 4 16 , , PUNCT iajs-1812 4 17 concluding conclude VERB iajs-1812 4 18 that that SCONJ iajs-1812 4 19 the the DET iajs-1812 4 20 estimation estimation NOUN iajs-1812 4 21 of of ADP iajs-1812 4 22 the the DET iajs-1812 4 23 survival survival NOUN iajs-1812 4 24 function function NOUN iajs-1812 4 25 for for ADP iajs-1812 4 26 the the DET iajs-1812 4 27 lung lung NOUN iajs-1812 4 28 cancer cancer NOUN iajs-1812 4 29 by by ADP iajs-1812 4 30 using use VERB iajs-1812 4 31 pre pre ADJ iajs-1812 4 32 - - ADJ iajs-1812 4 33 test test ADJ iajs-1812 4 34 singles single NOUN iajs-1812 4 35 stage stage NOUN iajs-1812 4 36 shrinkage shrinkage NOUN iajs-1812 4 37 estimator estimator NOUN iajs-1812 4 38 method method NOUN iajs-1812 4 39 was be AUX iajs-1812 4 40 the the DET iajs-1812 4 41 best good ADJ iajs-1812 4 42 . . PUNCT iajs-1812 5 1 keywords keyword NOUN iajs-1812 5 2 : : PUNCT iajs-1812 5 3 survival survival NOUN iajs-1812 5 4 function function PROPN iajs-1812 5 5 , , PUNCT iajs-1812 5 6 lung lung NOUN iajs-1812 5 7 cancer cancer NOUN iajs-1812 5 8 disease disease NOUN iajs-1812 5 9 , , PUNCT iajs-1812 5 10 complete complete ADJ iajs-1812 5 11 real real ADJ iajs-1812 5 12 data datum NOUN iajs-1812 5 13 , , PUNCT iajs-1812 5 14 maximum maximum ADJ iajs-1812 5 15 likelihood likelihood NOUN iajs-1812 5 16 method method NOUN iajs-1812 5 17 , , PUNCT iajs-1812 5 18 shrinkage shrinkage NOUN iajs-1812 5 19 method method NOUN iajs-1812 5 20 , , PUNCT iajs-1812 5 21 mean mean ADJ iajs-1812 5 22 squares square NOUN iajs-1812 5 23 error error NOUN iajs-1812 5 24 and and CCONJ iajs-1812 5 25 mean mean VERB iajs-1812 5 26 absolute absolute ADJ iajs-1812 5 27 percentage percentage NOUN iajs-1812 5 28 error error NOUN iajs-1812 5 29 . . PUNCT iajs-1812 6 1 ihsciconf ihsciconf PROPN iajs-1812 6 2 2017 2017 NUM iajs-1812 6 3 special special ADJ iajs-1812 6 4 issue issue NOUN iajs-1812 6 5 ibn ibn PROPN iajs-1812 6 6 al al PROPN iajs-1812 6 7 - - PUNCT iajs-1812 6 8 haitham haitham PROPN iajs-1812 6 9 journal journal PROPN iajs-1812 6 10 for for ADP iajs-1812 6 11 pure pure ADJ iajs-1812 6 12 and and CCONJ iajs-1812 6 13 applied apply VERB iajs-1812 6 14 science science NOUN iajs-1812 6 15 https://doi.org/ https://doi.org/ NOUN iajs-1812 6 16 10.30526/2017.ihsciconf.1812 10.30526/2017.ihsciconf.1812 NUM iajs-1812 6 17 for for ADP iajs-1812 6 18 more more ADJ iajs-1812 6 19 information information NOUN iajs-1812 6 20 about about ADP iajs-1812 6 21 the the DET iajs-1812 6 22 conference conference NOUN iajs-1812 6 23 please please INTJ iajs-1812 6 24 visit visit VERB iajs-1812 6 25 the the DET iajs-1812 6 26 websites website NOUN iajs-1812 6 27 : : PUNCT iajs-1812 6 28 http://www.ihsciconf.org/conf/ http://www.ihsciconf.org/conf/ VERB iajs-1812 6 29     SPACE iajs-1812 6 30 www.ihsciconf.org www.ihsciconf.org ADJ iajs-1812 6 31       SPACE iajs-1812 6 32 mathematics mathematic NOUN iajs-1812 6 33 |393 |393 NOUN iajs-1812 6 34     SPACE iajs-1812 6 35 1 1 NUM iajs-1812 6 36 . . PUNCT iajs-1812 7 1 introduction introduction NOUN iajs-1812 7 2 " " PUNCT iajs-1812 7 3 survival survival NOUN iajs-1812 7 4 study study NOUN iajs-1812 7 5 is be AUX iajs-1812 7 6 one one NUM iajs-1812 7 7 of of ADP iajs-1812 7 8 the the DET iajs-1812 7 9 broadly broadly ADV iajs-1812 7 10 used use VERB iajs-1812 7 11 technique technique NOUN iajs-1812 7 12 in in ADP iajs-1812 7 13 health health NOUN iajs-1812 7 14 check check NOUN iajs-1812 7 15 statistics statistic NOUN iajs-1812 7 16 ; ; PUNCT iajs-1812 7 17 its its PRON iajs-1812 7 18 importance importance NOUN iajs-1812 7 19 also also ADV iajs-1812 7 20 arises arise VERB iajs-1812 7 21 in in ADP iajs-1812 7 22 various various ADJ iajs-1812 7 23 fields field NOUN iajs-1812 7 24 such such ADJ iajs-1812 7 25 as as ADP iajs-1812 7 26 medicine medicine NOUN iajs-1812 7 27 , , PUNCT iajs-1812 7 28 engineering engineering NOUN iajs-1812 7 29 , , PUNCT iajs-1812 7 30 epidemiology epidemiology NOUN iajs-1812 7 31 , , PUNCT iajs-1812 7 32 biology biology NOUN iajs-1812 7 33 , , PUNCT iajs-1812 7 34 economics economic NOUN iajs-1812 7 35 , , PUNCT iajs-1812 7 36 physics physic NOUN iajs-1812 7 37 , , PUNCT iajs-1812 7 38 public public ADJ iajs-1812 7 39 health health NOUN iajs-1812 7 40 and and CCONJ iajs-1812 7 41 or or CCONJ iajs-1812 7 42 event event NOUN iajs-1812 7 43 history history NOUN iajs-1812 7 44 analysis analysis NOUN iajs-1812 7 45 in in ADP iajs-1812 7 46 sociology sociology NOUN iajs-1812 7 47 . . PUNCT iajs-1812 8 1 survival survival NOUN iajs-1812 8 2 analysis analysis NOUN iajs-1812 8 3 involves involve VERB iajs-1812 8 4 the the DET iajs-1812 8 5 modelling modelling NOUN iajs-1812 8 6 of of ADP iajs-1812 8 7 time time NOUN iajs-1812 8 8 to to ADP iajs-1812 8 9 event event NOUN iajs-1812 8 10 data datum NOUN iajs-1812 8 11 ; ; PUNCT iajs-1812 8 12 in in ADP iajs-1812 8 13 this this DET iajs-1812 8 14 context context NOUN iajs-1812 8 15 , , PUNCT iajs-1812 8 16 death death NOUN iajs-1812 8 17 or or CCONJ iajs-1812 8 18 failure failure NOUN iajs-1812 8 19 is be AUX iajs-1812 8 20 considered consider VERB iajs-1812 8 21 an an DET iajs-1812 8 22 " " PUNCT iajs-1812 8 23 event event NOUN iajs-1812 8 24 " " PUNCT iajs-1812 8 25 in in ADP iajs-1812 8 26 the the DET iajs-1812 8 27 survival survival NOUN iajs-1812 8 28 analysis analysis NOUN iajs-1812 8 29 literature literature NOUN iajs-1812 8 30 – – PUNCT iajs-1812 8 31 traditionally traditionally ADV iajs-1812 8 32 only only ADV iajs-1812 8 33 a a DET iajs-1812 8 34 single single ADJ iajs-1812 8 35 event event NOUN iajs-1812 8 36 occurs occur VERB iajs-1812 8 37 for for ADP iajs-1812 8 38 each each DET iajs-1812 8 39 subject subject NOUN iajs-1812 8 40 , , PUNCT iajs-1812 8 41 after after ADP iajs-1812 8 42 which which PRON iajs-1812 8 43 the the DET iajs-1812 8 44 organism organism NOUN iajs-1812 8 45 or or CCONJ iajs-1812 8 46 device device NOUN iajs-1812 8 47 is be AUX iajs-1812 8 48 lifeless lifeless ADJ iajs-1812 8 49 or or CCONJ iajs-1812 8 50 broken break VERB iajs-1812 8 51 down down ADP iajs-1812 8 52 . . PUNCT iajs-1812 9 1 recurring recur VERB iajs-1812 9 2 event event NOUN iajs-1812 9 3 or or CCONJ iajs-1812 9 4 repeated repeat VERB iajs-1812 9 5 event event NOUN iajs-1812 9 6 models model NOUN iajs-1812 9 7 relax relax VERB iajs-1812 9 8 that that DET iajs-1812 9 9 assumption assumption NOUN iajs-1812 9 10 . . PUNCT iajs-1812 10 1 the the DET iajs-1812 10 2 study study NOUN iajs-1812 10 3 of of ADP iajs-1812 10 4 recurring recur VERB iajs-1812 10 5 events event NOUN iajs-1812 10 6 is be AUX iajs-1812 10 7 applicable applicable ADJ iajs-1812 10 8 in in ADP iajs-1812 10 9 systems system NOUN iajs-1812 10 10 reliability reliability NOUN iajs-1812 10 11 , , PUNCT iajs-1812 10 12 and and CCONJ iajs-1812 10 13 in in ADP iajs-1812 10 14 many many ADJ iajs-1812 10 15 areas area NOUN iajs-1812 10 16 of of ADP iajs-1812 10 17 social social ADJ iajs-1812 10 18 science science NOUN iajs-1812 10 19 and and CCONJ iajs-1812 10 20 medical medical ADJ iajs-1812 10 21 research research NOUN iajs-1812 10 22 . . PUNCT iajs-1812 11 1 in in ADP iajs-1812 11 2 a a DET iajs-1812 11 3 clearer clear ADJ iajs-1812 11 4 way way NOUN iajs-1812 11 5 , , PUNCT iajs-1812 11 6 the the DET iajs-1812 11 7 analyses analysis NOUN iajs-1812 11 8 of of ADP iajs-1812 11 9 survival survival NOUN iajs-1812 11 10 function function NOUN iajs-1812 11 11 include include VERB iajs-1812 11 12 modelling model VERB iajs-1812 11 13 time time NOUN iajs-1812 11 14 . . PUNCT iajs-1812 12 1 this this PRON iajs-1812 12 2 is be AUX iajs-1812 12 3 to to PART iajs-1812 12 4 say say VERB iajs-1812 12 5 that that SCONJ iajs-1812 12 6 the the DET iajs-1812 12 7 study study NOUN iajs-1812 12 8 of of ADP iajs-1812 12 9 patient patient ADJ iajs-1812 12 10 case case NOUN iajs-1812 12 11 since since SCONJ iajs-1812 12 12 the the DET iajs-1812 12 13 case case NOUN iajs-1812 12 14 diagnosis diagnosis VERB iajs-1812 12 15 up up ADP iajs-1812 12 16 to to ADP iajs-1812 12 17 the the DET iajs-1812 12 18 event event NOUN iajs-1812 12 19 started start VERB iajs-1812 12 20 . . PUNCT iajs-1812 13 1 the the DET iajs-1812 13 2 events event NOUN iajs-1812 13 3 correspond correspond VERB iajs-1812 13 4 to to ADP iajs-1812 13 5 the the DET iajs-1812 13 6 death death NOUN iajs-1812 13 7 in in ADP iajs-1812 13 8 the the DET iajs-1812 13 9 literature literature NOUN iajs-1812 13 10 of of ADP iajs-1812 13 11 survival survival NOUN iajs-1812 13 12 analyses analysis NOUN iajs-1812 13 13 in in ADP iajs-1812 13 14 the the DET iajs-1812 13 15 medical medical ADJ iajs-1812 13 16 experiments experiment NOUN iajs-1812 13 17 " " PUNCT iajs-1812 13 18 , , PUNCT iajs-1812 13 19 [ [ X iajs-1812 13 20 9 9 NUM iajs-1812 13 21 ] ] PUNCT iajs-1812 13 22 . . PUNCT iajs-1812 14 1 " " PUNCT iajs-1812 14 2 cancer cancer NOUN iajs-1812 14 3 is be AUX iajs-1812 14 4 a a DET iajs-1812 14 5 category category NOUN iajs-1812 14 6 of of ADP iajs-1812 14 7 diseases disease NOUN iajs-1812 14 8 when when SCONJ iajs-1812 14 9 a a DET iajs-1812 14 10 cell cell NOUN iajs-1812 14 11 or or CCONJ iajs-1812 14 12 group group NOUN iajs-1812 14 13 of of ADP iajs-1812 14 14 cells cell NOUN iajs-1812 14 15 display display VERB iajs-1812 14 16 uncontrolled uncontrolled ADJ iajs-1812 14 17 growth growth NOUN iajs-1812 14 18 , , PUNCT iajs-1812 14 19 invasion invasion NOUN iajs-1812 14 20 and and CCONJ iajs-1812 14 21 sometimes sometimes ADV iajs-1812 14 22 spread spread VERB iajs-1812 14 23 to to ADP iajs-1812 14 24 other other ADJ iajs-1812 14 25 locations location NOUN iajs-1812 14 26 in in ADP iajs-1812 14 27 the the DET iajs-1812 14 28 body body NOUN iajs-1812 14 29 via via ADP iajs-1812 14 30 lymph lymph NOUN iajs-1812 14 31 or or CCONJ iajs-1812 14 32 blood blood NOUN iajs-1812 14 33 ( ( PUNCT iajs-1812 14 34 metastasis metastasis NOUN iajs-1812 14 35 ) ) PUNCT iajs-1812 14 36 . . PUNCT iajs-1812 15 1 it it PRON iajs-1812 15 2 causes cause VERB iajs-1812 15 3 about about ADV iajs-1812 15 4 13 13 NUM iajs-1812 15 5 % % NOUN iajs-1812 15 6 of of ADP iajs-1812 15 7 all all DET iajs-1812 15 8 human human ADJ iajs-1812 15 9 deaths death NOUN iajs-1812 15 10 in in ADP iajs-1812 15 11 2007 2007 NUM iajs-1812 15 12 with with ADP iajs-1812 15 13 a a DET iajs-1812 15 14 total total NOUN iajs-1812 15 15 of of ADP iajs-1812 15 16 7.6 7.6 NUM iajs-1812 15 17 million million NUM iajs-1812 15 18 affecting affect VERB iajs-1812 15 19 people people NOUN iajs-1812 15 20 at at ADP iajs-1812 15 21 all all DET iajs-1812 15 22 ages age NOUN iajs-1812 15 23 . . PUNCT iajs-1812 16 1 although although SCONJ iajs-1812 16 2 there there PRON iajs-1812 16 3 are be VERB iajs-1812 16 4 many many ADJ iajs-1812 16 5 causes cause NOUN iajs-1812 16 6 of of ADP iajs-1812 16 7 cancer cancer NOUN iajs-1812 16 8 , , PUNCT iajs-1812 16 9 90 90 NUM iajs-1812 16 10 - - SYM iajs-1812 16 11 95 95 NUM iajs-1812 16 12 % % NOUN iajs-1812 16 13 of of ADP iajs-1812 16 14 cancer cancer NOUN iajs-1812 16 15 caused cause VERB iajs-1812 16 16 due due ADP iajs-1812 16 17 to to ADP iajs-1812 16 18 lifestyle lifestyle NOUN iajs-1812 16 19 and and CCONJ iajs-1812 16 20 environmental environmental ADJ iajs-1812 16 21 factors factor NOUN iajs-1812 16 22 and and CCONJ iajs-1812 16 23 5 5 NUM iajs-1812 16 24 - - SYM iajs-1812 16 25 10 10 NUM iajs-1812 16 26 % % NOUN iajs-1812 16 27 are be AUX iajs-1812 16 28 due due ADJ iajs-1812 16 29 to to ADP iajs-1812 16 30 genetics genetic NOUN iajs-1812 16 31 " " PUNCT iajs-1812 16 32 , , PUNCT iajs-1812 16 33 [ [ X iajs-1812 16 34 3 3 NUM iajs-1812 16 35 ] ] PUNCT iajs-1812 16 36 . . PUNCT iajs-1812 17 1 " " PUNCT iajs-1812 17 2 lung lung NOUN iajs-1812 17 3 cancer cancer NOUN iajs-1812 17 4 is be AUX iajs-1812 17 5 the the DET iajs-1812 17 6 most most ADV iajs-1812 17 7 common common ADJ iajs-1812 17 8 cancers cancer NOUN iajs-1812 17 9 in in ADP iajs-1812 17 10 the the DET iajs-1812 17 11 world world NOUN iajs-1812 17 12 and and CCONJ iajs-1812 17 13 the the DET iajs-1812 17 14 cause cause NOUN iajs-1812 17 15 of of ADP iajs-1812 17 16 cigarette cigarette NOUN iajs-1812 17 17 smoking smoking NOUN iajs-1812 17 18 in in ADP iajs-1812 17 19 most most ADJ iajs-1812 17 20 types type NOUN iajs-1812 17 21 of of ADP iajs-1812 17 22 lung lung NOUN iajs-1812 17 23 cancer cancer NOUN iajs-1812 17 24 , , PUNCT iajs-1812 17 25 the the PRON iajs-1812 17 26 more more ADV iajs-1812 17 27 the the DET iajs-1812 17 28 number number NOUN iajs-1812 17 29 of of ADP iajs-1812 17 30 cigarettes cigarette NOUN iajs-1812 17 31 smoked smoke VERB iajs-1812 17 32 per per ADP iajs-1812 17 33 day day NOUN iajs-1812 17 34 more more ADV iajs-1812 17 35 and and CCONJ iajs-1812 17 36 more more ADJ iajs-1812 17 37 beginning beginning NOUN iajs-1812 17 38 was be AUX iajs-1812 17 39 in in ADP iajs-1812 17 40 the the DET iajs-1812 17 41 habit habit NOUN iajs-1812 17 42 of of ADP iajs-1812 17 43 smoking smoking NOUN iajs-1812 17 44 at at ADP iajs-1812 17 45 the the DET iajs-1812 17 46 age age NOUN iajs-1812 17 47 of of ADP iajs-1812 17 48 the the DET iajs-1812 17 49 youngest young ADJ iajs-1812 17 50 whenever whenever SCONJ iajs-1812 17 51 the the DET iajs-1812 17 52 risk risk NOUN iajs-1812 17 53 of of ADP iajs-1812 17 54 lung lung NOUN iajs-1812 17 55 cancer cancer NOUN iajs-1812 17 56 is be AUX iajs-1812 17 57 the the DET iajs-1812 17 58 biggest big ADJ iajs-1812 17 59 , , PUNCT iajs-1812 17 60 as as ADV iajs-1812 17 61 well well ADV iajs-1812 17 62 as as ADP iajs-1812 17 63 the the DET iajs-1812 17 64 high high ADJ iajs-1812 17 65 levels level NOUN iajs-1812 17 66 of of ADP iajs-1812 17 67 air air NOUN iajs-1812 17 68 pollution pollution NOUN iajs-1812 17 69 and and CCONJ iajs-1812 17 70 exposure exposure NOUN iajs-1812 17 71 radiation radiation NOUN iajs-1812 17 72 and and CCONJ iajs-1812 17 73 asbestos asbestos NOUN iajs-1812 17 74 may may AUX iajs-1812 17 75 also also ADV iajs-1812 17 76 increase increase VERB iajs-1812 17 77 the the DET iajs-1812 17 78 risk risk NOUN iajs-1812 17 79 of of ADP iajs-1812 17 80 lung lung PROPN iajs-1812 17 81 cancer";[14 cancer";[14 PROPN iajs-1812 17 82 ] ] PUNCT iajs-1812 17 83 . . PUNCT iajs-1812 18 1 the the DET iajs-1812 18 2 aim aim NOUN iajs-1812 18 3 of of ADP iajs-1812 18 4 this this DET iajs-1812 18 5 paper paper NOUN iajs-1812 18 6 is be AUX iajs-1812 18 7 concerned concern VERB iajs-1812 18 8 with with ADP iajs-1812 18 9 finding find VERB iajs-1812 18 10 and and CCONJ iajs-1812 18 11 estimating estimate VERB iajs-1812 18 12 the the DET iajs-1812 18 13 survival survival NOUN iajs-1812 18 14 function function NOUN iajs-1812 18 15 𝑆 𝑆 PROPN iajs-1812 18 16 𝑡 𝑡 PROPN iajs-1812 18 17 using use VERB iajs-1812 18 18 some some DET iajs-1812 18 19 parametric parametric ADJ iajs-1812 18 20 methods method NOUN iajs-1812 18 21 after after SCONJ iajs-1812 18 22 the the DET iajs-1812 18 23 survival survival NOUN iajs-1812 18 24 time time NOUN iajs-1812 18 25 of of ADP iajs-1812 18 26 the the DET iajs-1812 18 27 patients patient NOUN iajs-1812 18 28 suffer suffer VERB iajs-1812 18 29 from from ADP iajs-1812 18 30 lung lung NOUN iajs-1812 18 31 cancer cancer NOUN iajs-1812 18 32 diseases disease NOUN iajs-1812 18 33 in in ADP iajs-1812 18 34 kadhimia kadhimia PROPN iajs-1812 18 35 hospital hospital PROPN iajs-1812 18 36 ( ( PUNCT iajs-1812 18 37 jawadain jawadain NOUN iajs-1812 18 38 center center NOUN iajs-1812 18 39 of of ADP iajs-1812 18 40 cancerous cancerous ADJ iajs-1812 18 41 diseases disease NOUN iajs-1812 18 42 ) ) PUNCT iajs-1812 18 43 in in ADP iajs-1812 18 44 baghdad baghdad PROPN iajs-1812 18 45 , , PUNCT iajs-1812 18 46 iraq iraq PROPN iajs-1812 18 47 , , PUNCT iajs-1812 18 48 to to PART iajs-1812 18 49 show show VERB iajs-1812 18 50 and and CCONJ iajs-1812 18 51 study study VERB iajs-1812 18 52 how how SCONJ iajs-1812 18 53 long long ADV iajs-1812 18 54 the the DET iajs-1812 18 55 patients patient NOUN iajs-1812 18 56 remain remain VERB iajs-1812 18 57 alive alive ADJ iajs-1812 18 58 for for ADP iajs-1812 18 59 this this DET iajs-1812 18 60 diseases disease NOUN iajs-1812 18 61 . . PUNCT iajs-1812 19 1 the the DET iajs-1812 19 2 lifetime lifetime NOUN iajs-1812 19 3 data datum NOUN iajs-1812 19 4 for for ADP iajs-1812 19 5 the the DET iajs-1812 19 6 parametric parametric ADJ iajs-1812 19 7 method method NOUN iajs-1812 19 8 under under ADP iajs-1812 19 9 the the DET iajs-1812 19 10 influence influence NOUN iajs-1812 19 11 distributed distribute VERB iajs-1812 19 12 as as ADP iajs-1812 19 13 three three NUM iajs-1812 19 14 parameters parameter NOUN iajs-1812 19 15 weibull weibull NOUN iajs-1812 19 16 distribution distribution NOUN iajs-1812 19 17 based base VERB iajs-1812 19 18 on on ADP iajs-1812 19 19 complete complete ADJ iajs-1812 19 20 data datum NOUN iajs-1812 19 21 which which PRON iajs-1812 19 22 needs need VERB iajs-1812 19 23 to to PART iajs-1812 19 24 make make VERB iajs-1812 19 25 estimation estimation NOUN iajs-1812 19 26 for for ADP iajs-1812 19 27 the the DET iajs-1812 19 28 three three NUM iajs-1812 19 29 parameters parameter NOUN iajs-1812 19 30 of of ADP iajs-1812 19 31 the the DET iajs-1812 19 32 weibull weibull NOUN iajs-1812 19 33 distribution distribution NOUN iajs-1812 19 34 by by ADP iajs-1812 19 35 using use VERB iajs-1812 19 36 three three NUM iajs-1812 19 37 methods method NOUN iajs-1812 19 38 which which PRON iajs-1812 19 39 are be AUX iajs-1812 19 40 maximum maximum ADJ iajs-1812 19 41 likelihood likelihood NOUN iajs-1812 19 42 estimator estimator NOUN iajs-1812 19 43 method method NOUN iajs-1812 19 44 ( ( PUNCT iajs-1812 19 45 mle mle PROPN iajs-1812 19 46 ) ) PUNCT iajs-1812 19 47 , , PUNCT iajs-1812 19 48 shrinkage shrinkage NOUN iajs-1812 19 49 estimator estimator NOUN iajs-1812 19 50 method method NOUN iajs-1812 19 51 ( ( PUNCT iajs-1812 19 52 she she NOUN iajs-1812 19 53 ) ) PUNCT iajs-1812 19 54 and and CCONJ iajs-1812 19 55 pre pre ADJ iajs-1812 19 56 - - ADJ iajs-1812 19 57 test test ADJ iajs-1812 19 58 single single ADJ iajs-1812 19 59 stage stage NOUN iajs-1812 19 60 shrinkage shrinkage NOUN iajs-1812 19 61 estimator estimator NOUN iajs-1812 19 62 method method NOUN iajs-1812 19 63 ( ( PUNCT iajs-1812 19 64 pre pre NOUN iajs-1812 19 65 ) ) PUNCT iajs-1812 19 66 . . PUNCT iajs-1812 20 1 and and CCONJ iajs-1812 20 2 then then ADV iajs-1812 20 3 estimate estimate VERB iajs-1812 20 4 the the DET iajs-1812 20 5 survival survival NOUN iajs-1812 20 6 function function NOUN iajs-1812 20 7 . . PUNCT iajs-1812 21 1 finally finally ADV iajs-1812 21 2 , , PUNCT iajs-1812 21 3 comparisons comparison NOUN iajs-1812 21 4 of of ADP iajs-1812 21 5 the the DET iajs-1812 21 6 above above ADJ iajs-1812 21 7 estimation estimation NOUN iajs-1812 21 8 methods method NOUN iajs-1812 21 9 were be AUX iajs-1812 21 10 made make VERB iajs-1812 21 11 using use VERB iajs-1812 21 12 statistical statistical ADJ iajs-1812 21 13 indicators indicator NOUN iajs-1812 21 14 ( ( PUNCT iajs-1812 21 15 mean mean VERB iajs-1812 21 16 squared square VERB iajs-1812 21 17 error error NOUN iajs-1812 21 18 mse mse NOUN iajs-1812 21 19 and and CCONJ iajs-1812 21 20 mean mean VERB iajs-1812 21 21 absolute absolute ADJ iajs-1812 21 22 percentage percentage NOUN iajs-1812 21 23 error error NOUN iajs-1812 21 24 mape mape NOUN iajs-1812 21 25 ) ) PUNCT iajs-1812 21 26 in in ADP iajs-1812 21 27 the the DET iajs-1812 21 28 sense sense NOUN iajs-1812 21 29 of of ADP iajs-1812 21 30 real real ADJ iajs-1812 21 31 survival survival NOUN iajs-1812 21 32 function function NOUN iajs-1812 21 33 . . PUNCT iajs-1812 22 1 many many ADJ iajs-1812 22 2 authors author NOUN iajs-1812 22 3 studied study VERB iajs-1812 22 4 the the DET iajs-1812 22 5 survival survival NOUN iajs-1812 22 6 function function NOUN iajs-1812 22 7 depending depend VERB iajs-1812 22 8 on on ADP iajs-1812 22 9 three three NUM iajs-1812 22 10 – – PUNCT iajs-1812 22 11 parameters parameter NOUN iajs-1812 22 12 weibull weibull PROPN iajs-1812 22 13 model model PROPN iajs-1812 22 14 like like ADP iajs-1812 22 15 , , PUNCT iajs-1812 22 16 heo heo PROPN iajs-1812 22 17 j. j. PROPN iajs-1812 22 18 h. h. PROPN iajs-1812 22 19 et et PROPN iajs-1812 22 20 al al PROPN iajs-1812 22 21 . . PUNCT iajs-1812 23 1 [ [ X iajs-1812 23 2 7 7 X iajs-1812 23 3 ] ] PUNCT iajs-1812 23 4 , , PUNCT iajs-1812 23 5 al al PROPN iajs-1812 23 6 – – PUNCT iajs-1812 23 7 helaly helaly NOUN iajs-1812 23 8 f.s.a f.s.a NOUN iajs-1812 23 9 . . PUNCT iajs-1812 24 1 [ [ X iajs-1812 24 2 4 4 NUM iajs-1812 24 3 ] ] PUNCT iajs-1812 24 4 , , PUNCT iajs-1812 24 5 denial denial NOUN iajs-1812 24 6 i. i. NOUN iajs-1812 24 7 and and CCONJ iajs-1812 24 8 somani somani ADJ iajs-1812 24 9 k.[6 k.[6 NOUN iajs-1812 24 10 ] ] PUNCT iajs-1812 24 11 , , PUNCT iajs-1812 24 12 ahamd ahamd PROPN iajs-1812 24 13 m.r m.r PROPN iajs-1812 24 14 . . PROPN iajs-1812 24 15 , , PUNCT iajs-1812 24 16 ali ali PROPN iajs-1812 24 17 a.s a.s PROPN iajs-1812 24 18 . . PROPN iajs-1812 24 19 and and CCONJ iajs-1812 24 20 assad assad PROPN iajs-1812 24 21 a.m.[2 a.m.[2 PROPN iajs-1812 24 22 ] ] PUNCT iajs-1812 24 23 , , PUNCT iajs-1812 24 24 surucu surucu PROPN iajs-1812 24 25 b. b. PROPN iajs-1812 24 26 and and CCONJ iajs-1812 24 27 sazak sazak PROPN iajs-1812 24 28 h.s.[17 h.s.[17 PROPN iajs-1812 24 29 ] ] PUNCT iajs-1812 24 30 , , PUNCT iajs-1812 24 31 jasim jasim PROPN iajs-1812 24 32 , , PUNCT iajs-1812 24 33 sh sh PROPN iajs-1812 24 34 . . PUNCT iajs-1812 24 35 a. a. NOUN iajs-1812 25 1 [ [ X iajs-1812 25 2 8 8 NUM iajs-1812 25 3 ] ] PUNCT iajs-1812 25 4 and and CCONJ iajs-1812 25 5 majeed majeed PROPN iajs-1812 25 6 . . PUNCT iajs-1812 26 1 d.f d.f PROPN iajs-1812 26 2 . . PUNCT iajs-1812 27 1 [ [ X iajs-1812 27 2 12 12 NUM iajs-1812 27 3 ] ] PUNCT iajs-1812 27 4 . . PUNCT iajs-1812 28 1 the the DET iajs-1812 28 2 survival survival NOUN iajs-1812 28 3 function function VERB iajs-1812 28 4 𝑆 𝑆 PROPN iajs-1812 28 5 𝑡 𝑡 PROPN iajs-1812 28 6 is be AUX iajs-1812 28 7 the the DET iajs-1812 28 8 probability probability NOUN iajs-1812 28 9 that that SCONJ iajs-1812 28 10 the the DET iajs-1812 28 11 patient patient NOUN iajs-1812 28 12 will will AUX iajs-1812 28 13 stay stay VERB iajs-1812 28 14 alive alive ADJ iajs-1812 28 15 till till SCONJ iajs-1812 28 16 time time NOUN iajs-1812 28 17 t. t. PROPN iajs-1812 28 18 s(t s(t PROPN iajs-1812 28 19 ) ) PUNCT iajs-1812 29 1 = = X iajs-1812 29 2 pr(t pr(t X iajs-1812 29 3 > > X iajs-1812 29 4 t t PROPN iajs-1812 29 5 ) ) PUNCT iajs-1812 29 6 , , PUNCT iajs-1812 29 7 t t PROPN iajs-1812 29 8 refers refer VERB iajs-1812 29 9 to to ADP iajs-1812 29 10 the the DET iajs-1812 29 11 time time NOUN iajs-1812 29 12 of of ADP iajs-1812 29 13 death death NOUN iajs-1812 29 14 survival survival NOUN iajs-1812 29 15 probability probability NOUN iajs-1812 29 16 is be AUX iajs-1812 29 17 frequently frequently ADV iajs-1812 29 18 assumed assume VERB iajs-1812 29 19 to to PART iajs-1812 29 20 approach approach VERB iajs-1812 29 21 zero zero NUM iajs-1812 29 22 as as ADP iajs-1812 29 23 age age NOUN iajs-1812 29 24 increases increase NOUN iajs-1812 29 25 . . PUNCT iajs-1812 30 1 ihsciconf ihsciconf PROPN iajs-1812 30 2 2017 2017 NUM iajs-1812 30 3 special special ADJ iajs-1812 30 4 issue issue NOUN iajs-1812 30 5 ibn ibn PROPN iajs-1812 30 6 al al PROPN iajs-1812 30 7 - - PUNCT iajs-1812 30 8 haitham haitham PROPN iajs-1812 30 9 journal journal PROPN iajs-1812 30 10 for for ADP iajs-1812 30 11 pure pure ADJ iajs-1812 30 12 and and CCONJ iajs-1812 30 13 applied apply VERB iajs-1812 30 14 science science NOUN iajs-1812 30 15 https://doi.org/ https://doi.org/ NOUN iajs-1812 30 16 10.30526/2017.ihsciconf.1812 10.30526/2017.ihsciconf.1812 NUM iajs-1812 30 17 for for ADP iajs-1812 30 18 more more ADJ iajs-1812 30 19 information information NOUN iajs-1812 30 20 about about ADP iajs-1812 30 21 the the DET iajs-1812 30 22 conference conference NOUN iajs-1812 30 23 please please INTJ iajs-1812 30 24 visit visit VERB iajs-1812 30 25 the the DET iajs-1812 30 26 websites website NOUN iajs-1812 30 27 : : PUNCT iajs-1812 30 28 http://www.ihsciconf.org/conf/ http://www.ihsciconf.org/conf/ VERB iajs-1812 30 29     SPACE iajs-1812 30 30 www.ihsciconf.org www.ihsciconf.org ADJ iajs-1812 30 31       SPACE iajs-1812 30 32 mathematics mathematic NOUN iajs-1812 30 33 |394 |394 NOUN iajs-1812 30 34         SPACE iajs-1812 30 35 i.e. i.e. X iajs-1812 30 36 ; ; PUNCT iajs-1812 30 37     SPACE iajs-1812 30 38 0 0 NUM iajs-1812 30 39 1 1 NUM iajs-1812 30 40     SPACE iajs-1812 30 41 , , PUNCT iajs-1812 30 42     SPACE iajs-1812 30 43 lim lim PROPN iajs-1812 30 44 → → SYM iajs-1812 30 45 𝑠 𝑠 PROPN iajs-1812 30 46 𝑡 𝑡 PROPN iajs-1812 30 47 0 0 NUM iajs-1812 30 48 . . PUNCT iajs-1812 31 1 and and CCONJ iajs-1812 31 2 𝑆 𝑆 PROPN iajs-1812 31 3 𝑡 𝑡 PROPN iajs-1812 31 4       SPACE iajs-1812 31 5 is be AUX iajs-1812 31 6     SPACE iajs-1812 31 7 non non ADJ iajs-1812 31 8     SPACE iajs-1812 31 9 – – PUNCT iajs-1812 31 10     SPACE iajs-1812 31 11 increasing increase VERB iajs-1812 31 12         SPACE iajs-1812 31 13 and and CCONJ iajs-1812 31 14         SPACE iajs-1812 31 15 continuous continuous ADJ iajs-1812 31 16     SPACE iajs-1812 31 17 from from ADP iajs-1812 31 18         SPACE iajs-1812 31 19 right right ADJ iajs-1812 31 20     SPACE iajs-1812 31 21 side side NOUN iajs-1812 31 22 . . PUNCT iajs-1812 32 1 another another DET iajs-1812 32 2 characteristic characteristic NOUN iajs-1812 32 3 of of ADP iajs-1812 32 4 survival survival NOUN iajs-1812 32 5 data datum NOUN iajs-1812 32 6 is be AUX iajs-1812 32 7 that that SCONJ iajs-1812 32 8 the the DET iajs-1812 32 9 survival survival NOUN iajs-1812 32 10 time time NOUN iajs-1812 32 11 can can AUX iajs-1812 32 12 not not PART iajs-1812 32 13 be be AUX iajs-1812 32 14 negative negative ADJ iajs-1812 32 15 [ [ X iajs-1812 32 16 14 14 NUM iajs-1812 32 17 ] ] PUNCT iajs-1812 32 18 . . PUNCT iajs-1812 33 1 see see VERB iajs-1812 33 2 figure figure NOUN iajs-1812 33 3 ( ( PUNCT iajs-1812 33 4 1 1 NUM iajs-1812 33 5 ) ) PUNCT iajs-1812 33 6 , , PUNCT iajs-1812 33 7 which which PRON iajs-1812 33 8 includes include VERB iajs-1812 33 9 the the DET iajs-1812 33 10 curve curve NOUN iajs-1812 33 11 of of ADP iajs-1812 33 12 the the DET iajs-1812 33 13 survival survival NOUN iajs-1812 33 14 function function NOUN iajs-1812 33 15 . . PUNCT iajs-1812 33 16                                                     SPACE iajs-1812 34 1 s(t s(t PROPN iajs-1812 34 2 ) ) PUNCT iajs-1812 34 3         SPACE iajs-1812 34 4 figure figure NOUN iajs-1812 34 5 ( ( PUNCT iajs-1812 34 6 1 1 NUM iajs-1812 34 7 ): ): PUNCT iajs-1812 34 8 the the DET iajs-1812 34 9 curve curve NOUN iajs-1812 34 10 of of ADP iajs-1812 34 11 the the DET iajs-1812 34 12 survival survival NOUN iajs-1812 34 13 function function NOUN iajs-1812 34 14 " " PUNCT iajs-1812 34 15 weibull weibull NOUN iajs-1812 34 16 distribution distribution NOUN iajs-1812 34 17 broadly broadly ADV iajs-1812 34 18 used use VERB iajs-1812 34 19 in in ADP iajs-1812 34 20 the the DET iajs-1812 34 21 reliability reliability NOUN iajs-1812 34 22 engineering engineering NOUN iajs-1812 34 23 and and CCONJ iajs-1812 34 24 life life NOUN iajs-1812 34 25 data datum NOUN iajs-1812 34 26 analysis analysis NOUN iajs-1812 34 27 to to ADP iajs-1812 34 28 model model NOUN iajs-1812 34 29 failure failure NOUN iajs-1812 34 30 times time NOUN iajs-1812 34 31 . . PUNCT iajs-1812 35 1 it it PRON iajs-1812 35 2 was be AUX iajs-1812 35 3 developed develop VERB iajs-1812 35 4 in in ADP iajs-1812 35 5 1939 1939 NUM iajs-1812 35 6 by by ADP iajs-1812 35 7 waloddi waloddi PROPN iajs-1812 35 8 weibull weibull PROPN iajs-1812 35 9 and and CCONJ iajs-1812 35 10 it it PRON iajs-1812 35 11 was be AUX iajs-1812 35 12 introduced introduce VERB iajs-1812 35 13 to to ADP iajs-1812 35 14 a a DET iajs-1812 35 15 greater great ADJ iajs-1812 35 16 population population NOUN iajs-1812 35 17 in in ADP iajs-1812 35 18 1951 1951 NUM iajs-1812 35 19 through through ADP iajs-1812 35 20 the the DET iajs-1812 35 21 paper paper NOUN iajs-1812 35 22 ﴾ ﴾ NOUN iajs-1812 35 23 a a DET iajs-1812 35 24 statistical statistical ADJ iajs-1812 35 25 distribution distribution NOUN iajs-1812 35 26 function function NOUN iajs-1812 35 27 of of ADP iajs-1812 35 28 wide wide ADJ iajs-1812 35 29 applicability)";[4 applicability)";[4 NOUN iajs-1812 35 30 , , PUNCT iajs-1812 35 31 10 10 NUM iajs-1812 35 32 and and CCONJ iajs-1812 35 33 16 16 NUM iajs-1812 35 34 ] ] PUNCT iajs-1812 35 35 . . PUNCT iajs-1812 36 1 let let VERB iajs-1812 36 2 t t NOUN iajs-1812 36 3 be be AUX iajs-1812 36 4 a a DET iajs-1812 36 5 r.v r.v PROPN iajs-1812 36 6 . . PROPN iajs-1812 36 7 denote denote NOUN iajs-1812 36 8 to to ADP iajs-1812 36 9 the the DET iajs-1812 36 10 failure failure NOUN iajs-1812 36 11 ( ( PUNCT iajs-1812 36 12 death death NOUN iajs-1812 36 13 ) ) PUNCT iajs-1812 36 14 time time NOUN iajs-1812 36 15 . . PUNCT iajs-1812 37 1 the the DET iajs-1812 37 2 p.d.f p.d.f NOUN iajs-1812 37 3 of of ADP iajs-1812 37 4 the the DET iajs-1812 37 5 three three NUM iajs-1812 37 6 – – PUNCT iajs-1812 37 7 parameters parameter NOUN iajs-1812 37 8 weibull weibull NOUN iajs-1812 37 9 distribution distribution NOUN iajs-1812 37 10 [ [ X iajs-1812 37 11 t t VERB iajs-1812 37 12 wei wei NOUN iajs-1812 37 13   PROPN iajs-1812 37 14   PROPN iajs-1812 37 15 , , PUNCT iajs-1812 37 16 , , PUNCT iajs-1812 37 17   X iajs-1812 37 18   PROPN iajs-1812 37 19   NUM iajs-1812 37 20 ] ] PUNCT iajs-1812 37 21 is be AUX iajs-1812 37 22 : : PUNCT iajs-1812 37 23 𝑓 𝑓 PRON iajs-1812 37 24 𝑡 𝑡 NOUN iajs-1812 37 25 ; ; PUNCT iajs-1812 37 26 𝛼 𝛼 X iajs-1812 37 27 , , PUNCT iajs-1812 37 28 𝛽 𝛽 NOUN iajs-1812 37 29 , , PUNCT iajs-1812 37 30 𝛾 𝛾 VERB iajs-1812 37 31 𝛼 𝛼 X iajs-1812 37 32 𝛾 𝛾 ADP iajs-1812 37 33 𝑡 𝑡 NOUN iajs-1812 37 34 𝛽 𝛽 NOUN iajs-1812 37 35 𝛾 𝛾 NOUN iajs-1812 37 36 𝑒𝑥𝑝 𝑒𝑥𝑝 INTJ iajs-1812 37 37 𝑡 𝑡 PROPN iajs-1812 37 38 𝛽 𝛽 NOUN iajs-1812 37 39 𝛾 𝛾 NOUN iajs-1812 37 40 , , PUNCT iajs-1812 37 41 𝑡 𝑡 PROPN iajs-1812 37 42 0 0 NUM iajs-1812 37 43 , , PUNCT iajs-1812 37 44 𝑡 𝑡 PROPN iajs-1812 37 45 𝛽 𝛽 NOUN iajs-1812 37 46 0 0 NUM iajs-1812 37 47 other other ADJ iajs-1812 37 48 wise wise ADJ iajs-1812 37 49 1 1 NUM iajs-1812 37 50 here here ADV iajs-1812 37 51 ; ; PUNCT iajs-1812 37 52 𝛼 𝛼 X iajs-1812 37 53 , , PUNCT iajs-1812 37 54 𝛽,𝛾 𝛽,𝛾 ADJ iajs-1812 37 55 refer refer VERB iajs-1812 37 56 to to ADP iajs-1812 37 57 the the DET iajs-1812 37 58 shape shape NOUN iajs-1812 37 59 parameter parameter NOUN iajs-1812 37 60 , , PUNCT iajs-1812 37 61 location location NOUN iajs-1812 37 62 parameter parameter NOUN iajs-1812 37 63 , , PUNCT iajs-1812 37 64 scale scale NOUN iajs-1812 37 65 parameter parameter NOUN iajs-1812 37 66 respectively respectively ADV iajs-1812 37 67 , , PUNCT iajs-1812 37 68 and and CCONJ iajs-1812 37 69 the the DET iajs-1812 37 70 parameter parameter NOUN iajs-1812 37 71 space space NOUN iajs-1812 37 72 is be AUX iajs-1812 37 73 : : PUNCT iajs-1812 37 74 ω ω NUM iajs-1812 37 75 𝛼 𝛼 NOUN iajs-1812 37 76 , , PUNCT iajs-1812 37 77 𝛽 𝛽 PROPN iajs-1812 37 78 , , PUNCT iajs-1812 37 79 𝛾 𝛾 ADP iajs-1812 37 80 ∶ ∶ NOUN iajs-1812 37 81 𝛼 𝛼 PRON iajs-1812 37 82 0 0 NUM iajs-1812 37 83 , , PUNCT iajs-1812 37 84 0 0 NUM iajs-1812 37 85 𝛽 𝛽 NOUN iajs-1812 37 86 ∞ ∞ PROPN iajs-1812 37 87 , , PUNCT iajs-1812 37 88 𝛾 𝛾 PROPN iajs-1812 37 89 0 0 NUM iajs-1812 37 90 and and CCONJ iajs-1812 37 91 the the DET iajs-1812 37 92 survival survival NOUN iajs-1812 37 93 function function NOUN iajs-1812 37 94 of of ADP iajs-1812 37 95 the the DET iajs-1812 37 96 three three NUM iajs-1812 37 97 – – PUNCT iajs-1812 37 98 parameters parameter NOUN iajs-1812 37 99 weibull weibull NOUN iajs-1812 37 100 distribution distribution NOUN iajs-1812 37 101 will will AUX iajs-1812 37 102 be be AUX iajs-1812 37 103 : : PUNCT iajs-1812 37 104 𝑆 𝑆 PROPN iajs-1812 37 105 𝑡 𝑡 PROPN iajs-1812 37 106 exp exp NOUN iajs-1812 37 107 𝑡 𝑡 PROPN iajs-1812 37 108 𝛽 𝛽 PROPN iajs-1812 37 109 𝛾 𝛾 PROPN iajs-1812 37 110 2 2 NUM iajs-1812 37 111 ihsciconf ihsciconf NOUN iajs-1812 37 112 2017 2017 NUM iajs-1812 37 113 special special ADJ iajs-1812 37 114 issue issue NOUN iajs-1812 37 115 ibn ibn PROPN iajs-1812 37 116 al al PROPN iajs-1812 37 117 - - PUNCT iajs-1812 37 118 haitham haitham PROPN iajs-1812 37 119 journal journal PROPN iajs-1812 37 120 for for ADP iajs-1812 37 121 pure pure ADJ iajs-1812 37 122 and and CCONJ iajs-1812 37 123 applied apply VERB iajs-1812 37 124 science science NOUN iajs-1812 37 125 https://doi.org/ https://doi.org/ NOUN iajs-1812 37 126 10.30526/2017.ihsciconf.1812 10.30526/2017.ihsciconf.1812 NUM iajs-1812 37 127 for for ADP iajs-1812 37 128 more more ADJ iajs-1812 37 129 information information NOUN iajs-1812 37 130 about about ADP iajs-1812 37 131 the the DET iajs-1812 37 132 conference conference NOUN iajs-1812 37 133 please please INTJ iajs-1812 37 134 visit visit VERB iajs-1812 37 135 the the DET iajs-1812 37 136 websites website NOUN iajs-1812 37 137 : : PUNCT iajs-1812 37 138 http://www.ihsciconf.org/conf/ http://www.ihsciconf.org/conf/ VERB iajs-1812 37 139     SPACE iajs-1812 37 140 www.ihsciconf.org www.ihsciconf.org ADJ iajs-1812 37 141       SPACE iajs-1812 37 142 mathematics mathematic NOUN iajs-1812 37 143 |395 |395 PUNCT iajs-1812 37 144     SPACE iajs-1812 37 145 2 2 NUM iajs-1812 37 146 . . PUNCT iajs-1812 37 147 estimation estimation NOUN iajs-1812 37 148 methods method NOUN iajs-1812 37 149 2.1 2.1 NUM iajs-1812 37 150 maximum maximum ADJ iajs-1812 37 151 likelihood likelihood NOUN iajs-1812 37 152 estimation estimation NOUN iajs-1812 37 153 method method NOUN iajs-1812 37 154 ( ( PUNCT iajs-1812 37 155 ml ml NOUN iajs-1812 37 156 ) ) PUNCT iajs-1812 37 157 the the DET iajs-1812 37 158 maximum maximum ADJ iajs-1812 37 159 likelihood likelihood NOUN iajs-1812 37 160 estimation estimation NOUN iajs-1812 37 161 ( ( PUNCT iajs-1812 37 162 mle mle PROPN iajs-1812 37 163 ) ) PUNCT iajs-1812 37 164 is be AUX iajs-1812 37 165 one one NUM iajs-1812 37 166 of of ADP iajs-1812 37 167 the the DET iajs-1812 37 168 most most ADV iajs-1812 37 169 well well ADV iajs-1812 37 170 - - PUNCT iajs-1812 37 171 liked like VERB iajs-1812 37 172 and and CCONJ iajs-1812 37 173 dependable dependable ADJ iajs-1812 37 174 methods method NOUN iajs-1812 37 175 to to PART iajs-1812 37 176 obtain obtain VERB iajs-1812 37 177 a a DET iajs-1812 37 178 point point NOUN iajs-1812 37 179 estimator estimator NOUN iajs-1812 37 180 of of ADP iajs-1812 37 181 parameters parameter NOUN iajs-1812 37 182 in in ADP iajs-1812 37 183 any any DET iajs-1812 37 184 distribution distribution NOUN iajs-1812 37 185 [ [ X iajs-1812 37 186 1 1 NUM iajs-1812 37 187 , , PUNCT iajs-1812 37 188 4 4 NUM iajs-1812 37 189 , , PUNCT iajs-1812 37 190 5 5 NUM iajs-1812 37 191 and and CCONJ iajs-1812 37 192 11 11 NUM iajs-1812 37 193 ] ] PUNCT iajs-1812 37 194 the the DET iajs-1812 37 195 likelihood likelihood NOUN iajs-1812 37 196 function function NOUN iajs-1812 37 197 of of ADP iajs-1812 37 198 weibull weibull NOUN iajs-1812 37 199 distribution distribution NOUN iajs-1812 37 200 with with ADP iajs-1812 37 201 three three NUM iajs-1812 37 202 parameters parameter NOUN iajs-1812 37 203 is be AUX iajs-1812 37 204 : : PUNCT iajs-1812 37 205 𝐿 𝐿 PROPN iajs-1812 37 206 ∏ ∏ PROPN iajs-1812 37 207 𝑓 𝑓 PROPN iajs-1812 37 208 𝑡 𝑡 PROPN iajs-1812 37 209 ; ; PUNCT iajs-1812 37 210 𝛼 𝛼 X iajs-1812 37 211 , , PUNCT iajs-1812 37 212 𝛽 𝛽 PROPN iajs-1812 37 213 , , PUNCT iajs-1812 37 214 𝛾 𝛾 PROPN iajs-1812 37 215 𝐿 𝐿 PROPN iajs-1812 37 216 𝛼 𝛼 NOUN iajs-1812 37 217 𝛾 𝛾 NOUN iajs-1812 37 218 𝑡 𝑡 NOUN iajs-1812 37 219 𝛽 𝛽 NOUN iajs-1812 37 220 𝛾 𝛾 NOUN iajs-1812 37 221 𝑒𝑥𝑝 𝑒𝑥𝑝 INTJ iajs-1812 37 222 𝑡 𝑡 PROPN iajs-1812 37 223 𝛽 𝛽 PROPN iajs-1812 37 224 𝛾 𝛾 PROPN iajs-1812 37 225 𝐿 𝐿 NOUN iajs-1812 37 226 𝛼 𝛼 NOUN iajs-1812 37 227 𝛾 𝛾 NOUN iajs-1812 37 228 𝑡 𝑡 NOUN iajs-1812 37 229 𝛽 𝛽 NOUN iajs-1812 37 230 𝛾 𝛾 NOUN iajs-1812 37 231 𝑒𝑥𝑝 𝑒𝑥𝑝 INTJ iajs-1812 37 232 𝑡 𝑡 PROPN iajs-1812 37 233 𝛽 𝛽 NOUN iajs-1812 37 234 𝛾 𝛾 ADP iajs-1812 37 235 the the DET iajs-1812 37 236 logarithm logarithm NOUN iajs-1812 37 237 for for ADP iajs-1812 37 238 l l NOUN iajs-1812 37 239 will will AUX iajs-1812 37 240 be be AUX iajs-1812 37 241 : : PUNCT iajs-1812 37 242 𝐿𝑛𝐿 𝐿𝑛𝐿 NOUN iajs-1812 37 243 𝑛 𝑛 ADP iajs-1812 38 1 𝐿𝑛 𝐿𝑛 NOUN iajs-1812 38 2 𝛼 𝛼 X iajs-1812 38 3 – – PUNCT iajs-1812 38 4 𝑛 𝑛 VERB iajs-1812 39 1 𝐿𝑛 𝐿𝑛 ADP iajs-1812 39 2 𝛾 𝛾 NOUN iajs-1812 39 3 𝛼 𝛼 VERB iajs-1812 39 4 𝐿𝑛 𝐿𝑛 ADP iajs-1812 39 5 𝑡 𝑡 PROPN iajs-1812 39 6 𝛽 𝛽 PROPN iajs-1812 39 7 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 39 8 𝑡 𝑡 PROPN iajs-1812 39 9 𝛽 𝛽 NOUN iajs-1812 39 10 𝛼 𝛼 PART iajs-1812 39 11 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 39 12 𝛾 𝛾 AUX iajs-1812 39 13 𝐿𝑛 𝐿𝑛 ADP iajs-1812 39 14 𝛾 𝛾 NUM iajs-1812 39 15 𝑡 𝑡 PRON iajs-1812 39 16 𝛽 𝛽 NOUN iajs-1812 39 17 𝛾 𝛾 AUX iajs-1812 39 18 take take VERB iajs-1812 39 19 the the DET iajs-1812 39 20 partial partial ADJ iajs-1812 39 21 derivatives derivative NOUN iajs-1812 39 22 for for ADP iajs-1812 39 23 ln ln ADJ iajs-1812 39 24 l l NOUN iajs-1812 39 25 w.r.t w.r.t AUX iajs-1812 39 26 the the DET iajs-1812 39 27 parameters parameter NOUN iajs-1812 39 28 , , PUNCT iajs-1812 39 29 𝛽 𝛽 PROPN iajs-1812 39 30 and and CCONJ iajs-1812 39 31 𝛾 𝛾 PROPN iajs-1812 39 32 we we PRON iajs-1812 39 33 obtained obtain VERB iajs-1812 39 34 𝜕𝐿𝑛 𝜕𝐿𝑛 NOUN iajs-1812 39 35 𝐿 𝐿 PROPN iajs-1812 39 36 𝜕𝛼 𝜕𝛼 NOUN iajs-1812 39 37 𝑛 𝑛 NOUN iajs-1812 39 38 𝛼 𝛼 NOUN iajs-1812 40 1 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 40 2 𝑡 𝑡 PROPN iajs-1812 40 3 𝛽 𝛽 NOUN iajs-1812 40 4 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 40 5 𝛾 𝛾 NUM iajs-1812 40 6 𝑡 𝑡 PROPN iajs-1812 40 7 𝛽 𝛽 NOUN iajs-1812 40 8 𝛾 𝛾 ADP iajs-1812 40 9 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 40 10 𝑡 𝑡 PROPN iajs-1812 40 11 𝛽 𝛽 NOUN iajs-1812 40 12 𝛾 𝛾 NOUN iajs-1812 40 13 by by ADP iajs-1812 40 14 equality equality NOUN iajs-1812 40 15 the the DET iajs-1812 40 16 above above ADJ iajs-1812 40 17 partial partial ADJ iajs-1812 40 18 derivative derivative NOUN iajs-1812 40 19 to to ADP iajs-1812 40 20 zero zero NUM iajs-1812 40 21 , , PUNCT iajs-1812 40 22 we we PRON iajs-1812 40 23 obtain obtain VERB iajs-1812 40 24 : : PUNCT iajs-1812 40 25 ∑ ∑ PUNCT iajs-1812 40 26 𝐿𝑛 𝐿𝑛 INTJ iajs-1812 40 27 ∑ ∑ ADP iajs-1812 40 28 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 40 29 0 0 NUM iajs-1812 40 30 and and CCONJ iajs-1812 40 31 𝛽 𝛽 NOUN iajs-1812 40 32 ∑ ∑ ADP iajs-1812 40 33 𝜕𝐿𝑛𝐿 𝜕𝐿𝑛𝐿 VERB iajs-1812 40 34 𝜕𝛾 𝜕𝛾 NOUN iajs-1812 41 1 𝑛 𝑛 ADP iajs-1812 41 2 𝛾 𝛾 NOUN iajs-1812 41 3 𝛼 𝛼 PRON iajs-1812 41 4 1 1 NUM iajs-1812 41 5 𝛾 𝛾 PROPN iajs-1812 41 6 1 1 NUM iajs-1812 41 7 𝛾 𝛾 NOUN iajs-1812 41 8 𝛼 𝛼 NOUN iajs-1812 41 9 𝛾 𝛾 NOUN iajs-1812 41 10 𝑡 𝑡 NOUN iajs-1812 41 11 𝛽 𝛽 NOUN iajs-1812 41 12 𝛾 𝛾 NOUN iajs-1812 41 13 ihsciconf ihsciconf NOUN iajs-1812 41 14 2017 2017 NUM iajs-1812 41 15 special special ADJ iajs-1812 41 16 issue issue NOUN iajs-1812 41 17 ibn ibn PROPN iajs-1812 41 18 al al PROPN iajs-1812 41 19 - - PUNCT iajs-1812 41 20 haitham haitham PROPN iajs-1812 41 21 journal journal PROPN iajs-1812 41 22 for for ADP iajs-1812 41 23 pure pure ADJ iajs-1812 41 24 and and CCONJ iajs-1812 41 25 applied apply VERB iajs-1812 41 26 science science NOUN iajs-1812 41 27 https://doi.org/ https://doi.org/ NOUN iajs-1812 41 28 10.30526/2017.ihsciconf.1812 10.30526/2017.ihsciconf.1812 NUM iajs-1812 41 29 for for ADP iajs-1812 41 30 more more ADJ iajs-1812 41 31 information information NOUN iajs-1812 41 32 about about ADP iajs-1812 41 33 the the DET iajs-1812 41 34 conference conference NOUN iajs-1812 41 35 please please INTJ iajs-1812 41 36 visit visit VERB iajs-1812 41 37 the the DET iajs-1812 41 38 websites website NOUN iajs-1812 41 39 : : PUNCT iajs-1812 41 40 http://www.ihsciconf.org/conf/ http://www.ihsciconf.org/conf/ VERB iajs-1812 41 41     SPACE iajs-1812 41 42 www.ihsciconf.org www.ihsciconf.org ADJ iajs-1812 41 43       SPACE iajs-1812 41 44 mathematics mathematic NOUN iajs-1812 41 45 |396 |396 ADV iajs-1812 41 46     SPACE iajs-1812 41 47 – – PUNCT iajs-1812 41 48 ∑ ∑ PUNCT iajs-1812 41 49 = = SYM iajs-1812 41 50 0 0 NUM iajs-1812 41 51 𝑛 𝑛 PRON iajs-1812 41 52 ∑ ∑ PROPN iajs-1812 41 53 0 0 NUM iajs-1812 41 54 , , PUNCT iajs-1812 41 55 we we PRON iajs-1812 41 56 get get VERB iajs-1812 41 57 𝛾 𝛾 NOUN iajs-1812 41 58 ∑ ∑ ADP iajs-1812 41 59 we we PRON iajs-1812 41 60 use use VERB iajs-1812 41 61 the the DET iajs-1812 41 62 numerical numerical ADJ iajs-1812 41 63 analysis analysis NOUN iajs-1812 41 64 method method NOUN iajs-1812 41 65 as as SCONJ iajs-1812 41 66 newton newton PROPN iajs-1812 41 67 – – PUNCT iajs-1812 41 68 raphson raphson NOUN iajs-1812 41 69 to to PART iajs-1812 41 70 solve solve VERB iajs-1812 41 71 the the DET iajs-1812 41 72 nonlinear nonlinear ADJ iajs-1812 41 73 equations equation NOUN iajs-1812 41 74 simultaneously simultaneously ADV iajs-1812 41 75 the the DET iajs-1812 41 76 steps step NOUN iajs-1812 41 77 of of ADP iajs-1812 41 78 this this DET iajs-1812 41 79 method method NOUN iajs-1812 41 80 are be AUX iajs-1812 41 81 as as SCONJ iajs-1812 41 82 follows follow VERB iajs-1812 41 83 : : PUNCT iajs-1812 41 84 𝛼 𝛼 PROPN iajs-1812 41 85 𝛽 𝛽 NOUN iajs-1812 41 86 𝛾 𝛾 VERB iajs-1812 41 87 𝛼 𝛼 ADP iajs-1812 41 88 𝛽 𝛽 NOUN iajs-1812 41 89 𝛾 𝛾 PROPN iajs-1812 41 90 𝐽 𝐽 PRON iajs-1812 42 1 𝑓 𝑓 ADV iajs-1812 42 2 𝛼 𝛼 INTJ iajs-1812 42 3 𝑓 𝑓 PRON iajs-1812 42 4 𝛽 𝛽 NOUN iajs-1812 42 5 𝑓 𝑓 PRON iajs-1812 42 6 𝛾 𝛾 NOUN iajs-1812 42 7 𝑖 𝑖 SYM iajs-1812 42 8 1,2,3 1,2,3 NUM iajs-1812 42 9 where where SCONJ iajs-1812 42 10 , , PUNCT iajs-1812 42 11 𝑓 𝑓 DET iajs-1812 42 12 𝛼 𝛼 X iajs-1812 42 13 ∑ ∑ NOUN iajs-1812 42 14 𝐿𝑛 𝐿𝑛 INTJ iajs-1812 42 15 ∑ ∑ PUNCT iajs-1812 42 16 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 42 17 𝑓 𝑓 DET iajs-1812 42 18 𝛽 𝛽 NOUN iajs-1812 42 19 𝛼 𝛼 PROPN iajs-1812 42 20 1 1 NUM iajs-1812 42 21 ∑ ∑ PROPN iajs-1812 42 22 𝑡 𝑡 PROPN iajs-1812 42 23 𝛽 𝛽 NOUN iajs-1812 42 24 ∑ ∑ PUNCT iajs-1812 42 25 𝑓 𝑓 PRON iajs-1812 42 26 𝛾 𝛾 NOUN iajs-1812 42 27 𝑛 𝑛 PRON iajs-1812 42 28 ∑ ∑ ADJ iajs-1812 42 29 and and CCONJ iajs-1812 42 30 , , PUNCT iajs-1812 42 31 the the DET iajs-1812 42 32 jacobean jacobean PROPN iajs-1812 42 33 matrix matrix NOUN iajs-1812 42 34 𝐽 𝐽 PROPN iajs-1812 42 35 is be AUX iajs-1812 42 36 : : PUNCT iajs-1812 42 37 𝐽 𝐽 PROPN iajs-1812 42 38 ⎣ ⎣ ADJ iajs-1812 42 39 ⎢ ⎢ NOUN iajs-1812 42 40 ⎢ ⎢ NOUN iajs-1812 42 41 ⎢ ⎢ NOUN iajs-1812 42 42 ⎡ ⎡ NOUN iajs-1812 42 43 ⎦ ⎦ PUNCT iajs-1812 42 44 ⎥ ⎥ PROPN iajs-1812 42 45 ⎥ ⎥ PROPN iajs-1812 42 46 ⎥ ⎥ PROPN iajs-1812 42 47 ⎤ ⎤ VERB iajs-1812 42 48 ⎣ ⎣ ADV iajs-1812 42 49 ⎢ ⎢ NOUN iajs-1812 42 50 ⎢ ⎢ NOUN iajs-1812 42 51 ⎢ ⎢ NOUN iajs-1812 42 52 ⎢ ⎢ NOUN iajs-1812 42 53 ⎡ ⎡ NOUN iajs-1812 42 54 ⎦ ⎦ NUM iajs-1812 42 55 ⎥ ⎥ PROPN iajs-1812 42 56 ⎥ ⎥ PROPN iajs-1812 42 57 ⎥ ⎥ PROPN iajs-1812 42 58 ⎥ ⎥ PROPN iajs-1812 42 59 ⎤ ⎤ PROPN iajs-1812 42 60 thus thus ADV iajs-1812 42 61 : : PUNCT iajs-1812 42 62 ∑ ∑ PUNCT iajs-1812 43 1 𝐿𝑛 𝐿𝑛 INTJ iajs-1812 43 2 𝜕𝑓 𝜕𝑓 ADJ iajs-1812 43 3 𝛼 𝛼 X iajs-1812 43 4 𝜕𝛽 𝜕𝛽 VERB iajs-1812 43 5 𝑡 𝑡 PROPN iajs-1812 43 6 𝛽 𝛽 PROPN iajs-1812 43 7 𝑡 𝑡 PROPN iajs-1812 43 8 𝛽 𝛽 NOUN iajs-1812 43 9 𝛾 𝛾 NOUN iajs-1812 43 10 𝑡 𝑡 NOUN iajs-1812 43 11 𝛽 𝛽 NOUN iajs-1812 43 12 ∑ ∑ PUNCT iajs-1812 43 13 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 43 14 ihsciconf ihsciconf PROPN iajs-1812 43 15 2017 2017 NUM iajs-1812 43 16 special special ADJ iajs-1812 43 17 issue issue NOUN iajs-1812 43 18 ibn ibn PROPN iajs-1812 43 19 al al PROPN iajs-1812 43 20 - - PUNCT iajs-1812 43 21 haitham haitham PROPN iajs-1812 43 22 journal journal PROPN iajs-1812 43 23 for for ADP iajs-1812 43 24 pure pure ADJ iajs-1812 43 25 and and CCONJ iajs-1812 43 26 applied apply VERB iajs-1812 43 27 science science NOUN iajs-1812 43 28 https://doi.org/ https://doi.org/ NOUN iajs-1812 43 29 10.30526/2017.ihsciconf.1812 10.30526/2017.ihsciconf.1812 NUM iajs-1812 43 30 for for ADP iajs-1812 43 31 more more ADJ iajs-1812 43 32 information information NOUN iajs-1812 43 33 about about ADP iajs-1812 43 34 the the DET iajs-1812 43 35 conference conference NOUN iajs-1812 43 36 please please INTJ iajs-1812 43 37 visit visit VERB iajs-1812 43 38 the the DET iajs-1812 43 39 websites website NOUN iajs-1812 43 40 : : PUNCT iajs-1812 43 41 http://www.ihsciconf.org/conf/ http://www.ihsciconf.org/conf/ VERB iajs-1812 43 42     SPACE iajs-1812 43 43 www.ihsciconf.org www.ihsciconf.org ADJ iajs-1812 43 44       SPACE iajs-1812 43 45 mathematics mathematic NOUN iajs-1812 43 46 |397 |397 VERB iajs-1812 43 47     SPACE iajs-1812 43 48 ∑ ∑ PROPN iajs-1812 43 49 ∑ ∑ PUNCT iajs-1812 43 50 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 43 51 ∑ ∑ ADP iajs-1812 43 52 𝑡 𝑡 PROPN iajs-1812 43 53 𝛽 𝛽 NOUN iajs-1812 43 54 ∑ ∑ PUNCT iajs-1812 44 1 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 44 2 ∑ ∑ ADV iajs-1812 44 3 𝛼 𝛼 PROPN iajs-1812 44 4 1 1 NUM iajs-1812 44 5 ∑ ∑ PART iajs-1812 44 6 𝑡 𝑡 PROPN iajs-1812 44 7 𝛽 𝛽 NOUN iajs-1812 44 8 ∑ ∑ PUNCT iajs-1812 44 9 ∑ ∑ PROPN iajs-1812 44 10 ∑ ∑ PART iajs-1812 44 11 𝐿𝑛 𝐿𝑛 PROPN iajs-1812 44 12 ∑ ∑ ADP iajs-1812 44 13 ∑ ∑ PROPN iajs-1812 44 14 ∑ ∑ PROPN iajs-1812 44 15 then then ADV iajs-1812 44 16 , , PUNCT iajs-1812 44 17 the the DET iajs-1812 44 18 error error NOUN iajs-1812 44 19 term term NOUN iajs-1812 44 20 is be AUX iajs-1812 44 21 symbolized symbolize VERB iajs-1812 44 22 by by ADP iajs-1812 44 23 𝜖 𝜖 PROPN iajs-1812 44 24 , , PUNCT iajs-1812 44 25 formulated formulate VERB iajs-1812 44 26 as as ADP iajs-1812 44 27 : : PUNCT iajs-1812 44 28 𝜖 𝜖 X iajs-1812 44 29 𝛼 𝛼 X iajs-1812 44 30 𝜖 𝜖 PROPN iajs-1812 44 31 𝛽 𝛽 PROPN iajs-1812 44 32 𝜖 𝜖 X iajs-1812 44 33 𝛾 𝛾 NOUN iajs-1812 44 34 𝛼 𝛼 NOUN iajs-1812 44 35 𝛽 𝛽 NOUN iajs-1812 44 36 𝛾 𝛾 NOUN iajs-1812 44 37 𝛼 𝛼 PRON iajs-1812 44 38 𝛽 𝛽 NOUN iajs-1812 44 39 𝛾 𝛾 NOUN iajs-1812 44 40 so so ADV iajs-1812 44 41 , , PUNCT iajs-1812 44 42 the the DET iajs-1812 44 43 maximum maximum ADJ iajs-1812 44 44 likelihood likelihood NOUN iajs-1812 44 45 estimators estimator NOUN iajs-1812 44 46 for for ADP iajs-1812 44 47 the the DET iajs-1812 44 48 parameters parameter NOUN iajs-1812 44 49 , , PUNCT iajs-1812 44 50 and and CCONJ iajs-1812 44 51   PROPN iajs-1812 44 52   PROPN iajs-1812 44 53   NOUN iajs-1812 44 54 are be AUX iajs-1812 44 55 respectably respectably ADV iajs-1812 44 56 ml ml X iajs-1812 44 57 ˆˆ ˆˆ PROPN iajs-1812 44 58 ˆ ˆ PROPN iajs-1812 44 59 , , PUNCT iajs-1812 44 60 ml ml ADP iajs-1812 44 61 ml ml ADP iajs-1812 44 62 and and CCONJ iajs-1812 44 63   NOUN iajs-1812 44 64   PROPN iajs-1812 44 65 thus thus ADV iajs-1812 44 66 , , PUNCT iajs-1812 44 67 the the DET iajs-1812 44 68 maximum maximum ADJ iajs-1812 44 69 likelihood likelihood NOUN iajs-1812 44 70 estimator estimator NOUN iajs-1812 44 71 for for ADP iajs-1812 44 72 the the DET iajs-1812 44 73 survival survival NOUN iajs-1812 44 74 function function NOUN iajs-1812 44 75 is be AUX iajs-1812 44 76 defined define VERB iajs-1812 44 77 as as ADP iajs-1812 44 78 : : PUNCT iajs-1812 44 79 𝑆 𝑆 PROPN iajs-1812 44 80 𝑡 𝑡 PROPN iajs-1812 44 81 exp exp NOUN iajs-1812 44 82 3 3 NUM iajs-1812 44 83 2.2 2.2 NUM iajs-1812 44 84 thompson thompson NOUN iajs-1812 44 85 - - PUNCT iajs-1812 44 86 type type NOUN iajs-1812 44 87 shrinkage shrinkage NOUN iajs-1812 44 88 estimation estimation NOUN iajs-1812 44 89 method method NOUN iajs-1812 44 90 ( ( PUNCT iajs-1812 44 91 sh sh PROPN iajs-1812 44 92 ) ) PUNCT iajs-1812 44 93 " " PUNCT iajs-1812 44 94 the the DET iajs-1812 44 95 shrinkage shrinkage NOUN iajs-1812 44 96 estimation estimation NOUN iajs-1812 44 97 method method NOUN iajs-1812 44 98 is be AUX iajs-1812 44 99 one one NUM iajs-1812 44 100 of of ADP iajs-1812 44 101 the the DET iajs-1812 44 102 bayesian bayesian NOUN iajs-1812 44 103 approach approach NOUN iajs-1812 44 104 depending depend VERB iajs-1812 44 105 on on ADP iajs-1812 44 106 prior prior ADJ iajs-1812 44 107 information information NOUN iajs-1812 44 108 concerning concern VERB iajs-1812 44 109 the the DET iajs-1812 44 110 value value NOUN iajs-1812 44 111 of of ADP iajs-1812 44 112 the the DET iajs-1812 44 113 specific specific ADJ iajs-1812 44 114 parameter parameter NOUN iajs-1812 44 115 𝜃 𝜃 NOUN iajs-1812 44 116 from from ADP iajs-1812 44 117 past past ADJ iajs-1812 44 118 experiences experience NOUN iajs-1812 44 119 or or CCONJ iajs-1812 44 120 previous previous ADJ iajs-1812 44 121 studies study NOUN iajs-1812 44 122 . . PUNCT iajs-1812 45 1 however however ADV iajs-1812 45 2 , , PUNCT iajs-1812 45 3 in in ADP iajs-1812 45 4 certain certain ADJ iajs-1812 45 5 situations situation NOUN iajs-1812 45 6 , , PUNCT iajs-1812 45 7 prior prior ADJ iajs-1812 45 8 information information NOUN iajs-1812 45 9 is be AUX iajs-1812 45 10 available available ADJ iajs-1812 45 11 only only ADV iajs-1812 45 12 from from ADP iajs-1812 45 13 of of ADP iajs-1812 45 14 an an DET iajs-1812 45 15 initial initial ADJ iajs-1812 45 16 guess guess NOUN iajs-1812 45 17 value value NOUN iajs-1812 45 18 ( ( PUNCT iajs-1812 45 19 natural natural ADJ iajs-1812 45 20 origin origin NOUN iajs-1812 45 21 ) ) PUNCT iajs-1812 46 1 𝜃 𝜃 NOUN iajs-1812 46 2 ° ° NOUN iajs-1812 46 3 of of ADP iajs-1812 46 4 𝜃. 𝜃. NOUN iajs-1812 46 5 in in ADP iajs-1812 46 6 such such DET iajs-1812 46 7 a a DET iajs-1812 46 8 situation situation NOUN iajs-1812 46 9 , , PUNCT iajs-1812 46 10 it it PRON iajs-1812 46 11 is be AUX iajs-1812 46 12 natural natural ADJ iajs-1812 46 13 to to PART iajs-1812 46 14 start start VERB iajs-1812 46 15 with with ADP iajs-1812 46 16 an an DET iajs-1812 46 17 estimator estimator NOUN iajs-1812 46 18 𝜃 𝜃 NOUN iajs-1812 46 19 ( ( PUNCT iajs-1812 46 20 e.g. e.g. ADV iajs-1812 46 21 , , PUNCT iajs-1812 46 22 mle mle NOUN iajs-1812 46 23 ) ) PUNCT iajs-1812 46 24 of of ADP iajs-1812 46 25 𝜃 𝜃 PRON iajs-1812 46 26 and and CCONJ iajs-1812 46 27 modify modify VERB iajs-1812 46 28 it it PRON iajs-1812 46 29 by by ADP iajs-1812 46 30 moving move VERB iajs-1812 46 31 it it PRON iajs-1812 46 32 closer close ADV iajs-1812 46 33 to to ADP iajs-1812 46 34 𝜃 𝜃 PROPN iajs-1812 46 35 ° ° NOUN iajs-1812 46 36 .thompson .thompson NOUN iajs-1812 46 37 in in ADP iajs-1812 46 38 1968 1968 NUM iajs-1812 46 39 has have AUX iajs-1812 46 40 suggested suggest VERB iajs-1812 46 41 the the DET iajs-1812 46 42 problem problem NOUN iajs-1812 46 43 of of ADP iajs-1812 46 44 shrinking shrink VERB iajs-1812 46 45 the the DET iajs-1812 46 46 usual usual ADJ iajs-1812 46 47 estimator estimator NOUN iajs-1812 46 48 𝜃 𝜃 PROPN iajs-1812 46 49 of of ADP iajs-1812 46 50 the the DET iajs-1812 46 51 parameter parameter NOUN iajs-1812 46 52 𝜃 𝜃 NOUN iajs-1812 46 53 toward toward ADP iajs-1812 46 54 prior prior ADJ iajs-1812 46 55 information information NOUN iajs-1812 46 56 ( ( PUNCT iajs-1812 46 57 a a DET iajs-1812 46 58 natural natural ADJ iajs-1812 46 59 origin origin NOUN iajs-1812 46 60 ) ) PUNCT iajs-1812 46 61 𝜃 𝜃 NOUN iajs-1812 46 62 ° ° NOUN iajs-1812 46 63 by by ADP iajs-1812 46 64 single single ADJ iajs-1812 46 65 stage stage NOUN iajs-1812 46 66 shrinkage shrinkage NOUN iajs-1812 46 67 estimator estimator NOUN iajs-1812 46 68 𝜓 𝜓 PROPN iajs-1812 46 69 𝜃 𝜃 PROPN iajs-1812 46 70 𝜃 𝜃 NUM iajs-1812 46 71 1 1 NUM iajs-1812 46 72 𝜓 𝜓 NOUN iajs-1812 46 73 𝜃 𝜃 PROPN iajs-1812 46 74 𝜃 𝜃 NOUN iajs-1812 46 75 ° ° NUM iajs-1812 46 76 , , PUNCT iajs-1812 46 77 0 0 NUM iajs-1812 46 78 𝜓 𝜓 NOUN iajs-1812 46 79 𝜃 𝜃 NOUN iajs-1812 46 80 1 1 NUM iajs-1812 46 81 , , PUNCT iajs-1812 46 82 which which PRON iajs-1812 46 83 is be AUX iajs-1812 46 84 more more ADV iajs-1812 46 85 efficient efficient ADJ iajs-1812 46 86 than than ADP iajs-1812 46 87 𝜃 𝜃 NOUN iajs-1812 46 88 if if SCONJ iajs-1812 46 89 𝜃 𝜃 NOUN iajs-1812 46 90 ° ° PRON iajs-1812 46 91 is be AUX iajs-1812 46 92 close close ADJ iajs-1812 46 93 to to ADP iajs-1812 46 94 𝜃 𝜃 NOUN iajs-1812 46 95 and and CCONJ iajs-1812 46 96 less less ADV iajs-1812 46 97 efficient efficient ADJ iajs-1812 46 98 than than ADP iajs-1812 46 99 𝜃 𝜃 PRON iajs-1812 46 100 otherwise";[18 otherwise";[18 NOUN iajs-1812 46 101 ] ] PUNCT iajs-1812 46 102 . . PUNCT iajs-1812 47 1 ihsciconf ihsciconf PROPN iajs-1812 47 2 2017 2017 NUM iajs-1812 47 3 special special ADJ iajs-1812 47 4 issue issue NOUN iajs-1812 47 5 ibn ibn PROPN iajs-1812 47 6 al al PROPN iajs-1812 47 7 - - PUNCT iajs-1812 47 8 haitham haitham PROPN iajs-1812 47 9 journal journal PROPN iajs-1812 47 10 for for ADP iajs-1812 47 11 pure pure ADJ iajs-1812 47 12 and and CCONJ iajs-1812 47 13 applied apply VERB iajs-1812 47 14 science science NOUN iajs-1812 47 15 https://doi.org/ https://doi.org/ NOUN iajs-1812 47 16 10.30526/2017.ihsciconf.1812 10.30526/2017.ihsciconf.1812 NUM iajs-1812 47 17 for for ADP iajs-1812 47 18 more more ADJ iajs-1812 47 19 information information NOUN iajs-1812 47 20 about about ADP iajs-1812 47 21 the the DET iajs-1812 47 22 conference conference NOUN iajs-1812 47 23 please please INTJ iajs-1812 47 24 visit visit VERB iajs-1812 47 25 the the DET iajs-1812 47 26 websites website NOUN iajs-1812 47 27 : : PUNCT iajs-1812 47 28 http://www.ihsciconf.org/conf/ http://www.ihsciconf.org/conf/ VERB iajs-1812 47 29     SPACE iajs-1812 47 30 www.ihsciconf.org www.ihsciconf.org ADJ iajs-1812 47 31       SPACE iajs-1812 47 32 mathematics mathematic NOUN iajs-1812 47 33 |398 |398 ADP iajs-1812 47 34     SPACE iajs-1812 47 35 according accord VERB iajs-1812 47 36 to to ADP iajs-1812 47 37 thompson thompson PROPN iajs-1812 47 38 , , PUNCT iajs-1812 47 39 𝜃 𝜃 PROPN iajs-1812 47 40 ° ° PROPN iajs-1812 47 41 is be AUX iajs-1812 47 42 a a DET iajs-1812 47 43 natural natural ADJ iajs-1812 47 44 origin origin NOUN iajs-1812 47 45 and and CCONJ iajs-1812 47 46 , , PUNCT iajs-1812 47 47 as as ADP iajs-1812 47 48 such such ADJ iajs-1812 47 49 , , PUNCT iajs-1812 47 50 may may AUX iajs-1812 47 51 arise arise VERB iajs-1812 47 52 for for ADP iajs-1812 47 53 any any DET iajs-1812 47 54 one one NUM iajs-1812 47 55 of of ADP iajs-1812 47 56 a a DET iajs-1812 47 57 number number NOUN iajs-1812 47 58 of of ADP iajs-1812 47 59 reasons reason NOUN iajs-1812 47 60 — — PUNCT iajs-1812 47 61 e.g. e.g. ADV iajs-1812 47 62 , , PUNCT iajs-1812 47 63 we we PRON iajs-1812 47 64 are be AUX iajs-1812 47 65 estimating estimate VERB iajs-1812 47 66 𝜃 𝜃 PUNCT iajs-1812 47 67 and and CCONJ iajs-1812 47 68 ( ( PUNCT iajs-1812 47 69 a a X iajs-1812 47 70 ) ) PUNCT iajs-1812 47 71 we we PRON iajs-1812 47 72 believe believe VERB iajs-1812 47 73 𝜃 𝜃 NOUN iajs-1812 47 74 ° ° PROPN iajs-1812 47 75 is be AUX iajs-1812 47 76 closed close VERB iajs-1812 47 77 to to ADP iajs-1812 47 78 the the DET iajs-1812 47 79 true true ADJ iajs-1812 47 80 value value NOUN iajs-1812 47 81 of of ADP iajs-1812 47 82 𝜃 𝜃 PROPN iajs-1812 47 83 , , PUNCT iajs-1812 47 84 or or CCONJ iajs-1812 47 85 ( ( PUNCT iajs-1812 47 86 b b X iajs-1812 47 87 ) ) PUNCT iajs-1812 47 88 we we PRON iajs-1812 47 89 fear fear VERB iajs-1812 47 90 that that SCONJ iajs-1812 47 91 𝜃 𝜃 NOUN iajs-1812 47 92 ° ° PROPN iajs-1812 47 93 may may AUX iajs-1812 47 94 be be AUX iajs-1812 47 95 near near ADP iajs-1812 47 96 the the DET iajs-1812 47 97 true true ADJ iajs-1812 47 98 value value NOUN iajs-1812 47 99 of of ADP iajs-1812 47 100 𝜃 𝜃 PROPN iajs-1812 47 101 , , PUNCT iajs-1812 47 102 that that PRON iajs-1812 47 103 is be AUX iajs-1812 47 104 mean mean ADJ iajs-1812 47 105 , , PUNCT iajs-1812 47 106 something something PRON iajs-1812 47 107 bad bad ADJ iajs-1812 47 108 happens happen VERB iajs-1812 47 109 if if SCONJ iajs-1812 47 110 𝜃 𝜃 NOUN iajs-1812 47 111 ° ° NOUN iajs-1812 47 112 𝜃 𝜃 NOUN iajs-1812 47 113 , , PUNCT iajs-1812 47 114 and and CCONJ iajs-1812 47 115 we we PRON iajs-1812 47 116 do do AUX iajs-1812 47 117 not not PART iajs-1812 47 118 know know VERB iajs-1812 47 119 about about ADP iajs-1812 47 120 it it PRON iajs-1812 47 121 ( ( PUNCT iajs-1812 47 122 that that PRON iajs-1812 47 123 is is ADV iajs-1812 47 124 , , PUNCT iajs-1812 47 125 something something PRON iajs-1812 47 126 bad bad ADJ iajs-1812 47 127 happens happen VERB iajs-1812 47 128 if if SCONJ iajs-1812 47 129 𝜃 𝜃 NOUN iajs-1812 47 130 ° ° NUM iajs-1812 47 131 𝜃 𝜃 VERB iajs-1812 48 1 and and CCONJ iajs-1812 48 2 we we PRON iajs-1812 48 3 do do AUX iajs-1812 48 4 not not PART iajs-1812 48 5 use use VERB iajs-1812 48 6 𝜃 𝜃 NOUN iajs-1812 48 7 ° ° NUM iajs-1812 48 8 . . PUNCT iajs-1812 49 1 where where SCONJ iajs-1812 49 2 , , PUNCT iajs-1812 49 3 𝜓 𝜓 PROPN iajs-1812 49 4 𝜃 𝜃 PROPN iajs-1812 49 5 is be AUX iajs-1812 49 6 so so ADV iajs-1812 49 7 called call VERB iajs-1812 49 8 shrinkage shrinkage NOUN iajs-1812 49 9 weight weight NOUN iajs-1812 49 10 factor factor NOUN iajs-1812 49 11 ; ; PUNCT iajs-1812 49 12 0 0 NUM iajs-1812 49 13 𝜓 𝜓 NOUN iajs-1812 49 14 𝜃 𝜃 PROPN iajs-1812 49 15 1 1 NUM iajs-1812 49 16 which which PRON iajs-1812 49 17 represents represent VERB iajs-1812 49 18 the the DET iajs-1812 49 19 belief belief NOUN iajs-1812 49 20 of of ADP iajs-1812 49 21 𝜃 𝜃 PRON iajs-1812 49 22 , , PUNCT iajs-1812 49 23 and and CCONJ iajs-1812 49 24 ( ( PUNCT iajs-1812 49 25 1𝜓 1𝜓 NOUN iajs-1812 49 26 𝜃 𝜃 NOUN iajs-1812 49 27 ) ) PUNCT iajs-1812 49 28 represent represent VERB iajs-1812 49 29 the the DET iajs-1812 49 30 belief belief NOUN iajs-1812 49 31 of of ADP iajs-1812 49 32 𝜃 𝜃 NOUN iajs-1812 49 33 ° ° PRON iajs-1812 49 34 .thompson .thompson NOUN iajs-1812 49 35 noting note VERB iajs-1812 49 36 that that SCONJ iajs-1812 49 37 the the DET iajs-1812 49 38 shrinkage shrinkage NOUN iajs-1812 49 39 weight weight NOUN iajs-1812 49 40 factor factor NOUN iajs-1812 49 41 may may AUX iajs-1812 49 42 be be AUX iajs-1812 49 43 a a DET iajs-1812 49 44 function function NOUN iajs-1812 49 45 of of ADP iajs-1812 49 46 𝜃 𝜃 PRON iajs-1812 49 47 or or CCONJ iajs-1812 49 48 may may AUX iajs-1812 49 49 be be AUX iajs-1812 49 50 constant constant ADJ iajs-1812 49 51 and and CCONJ iajs-1812 49 52 the the DET iajs-1812 49 53 chosen choose VERB iajs-1812 49 54 of of ADP iajs-1812 49 55 the the DET iajs-1812 49 56 shrinkage shrinkage NOUN iajs-1812 49 57 weight weight NOUN iajs-1812 49 58 factor factor NOUN iajs-1812 49 59 is be AUX iajs-1812 49 60 ( ( PUNCT iajs-1812 49 61 ad ad X iajs-1812 49 62 hoc hoc X iajs-1812 49 63 basis basis NOUN iajs-1812 49 64 ) ) PUNCT iajs-1812 49 65 . . PUNCT iajs-1812 50 1 also also ADV iajs-1812 50 2 , , PUNCT iajs-1812 50 3 the the DET iajs-1812 50 4 shrinkage shrinkage NOUN iajs-1812 50 5 weight weight NOUN iajs-1812 50 6 function function NOUN iajs-1812 50 7 ψ ψ X iajs-1812 50 8 θ θ PROPN iajs-1812 50 9 can can AUX iajs-1812 50 10 be be AUX iajs-1812 50 11 founded found VERB iajs-1812 50 12 by by ADP iajs-1812 50 13 minimizing minimize VERB iajs-1812 50 14 the the DET iajs-1812 50 15 mean mean ADJ iajs-1812 50 16 square square ADJ iajs-1812 50 17 error error NOUN iajs-1812 50 18 of of ADP iajs-1812 50 19 θ θ PROPN iajs-1812 50 20 . . PUNCT iajs-1812 51 1 in in ADP iajs-1812 51 2 this this DET iajs-1812 51 3 paper paper NOUN iajs-1812 51 4 , , PUNCT iajs-1812 51 5 we we PRON iajs-1812 51 6 take take VERB iajs-1812 51 7 a a DET iajs-1812 51 8 constant constant ADJ iajs-1812 51 9 shrinkage shrinkage NOUN iajs-1812 51 10 weight weight NOUN iajs-1812 51 11 factor factor NOUN iajs-1812 51 12 as as ADP iajs-1812 51 13 below below ADV iajs-1812 51 14 : : PUNCT iajs-1812 51 15 i.e. i.e. X iajs-1812 51 16 ; ; PUNCT iajs-1812 51 17 ψ ψ X iajs-1812 51 18 θ θ NOUN iajs-1812 51 19 = = SYM iajs-1812 51 20 1k 1k NUM iajs-1812 51 21 = = SYM iajs-1812 51 22 10 10 NUM iajs-1812 51 23 ne ne NOUN iajs-1812 51 24   PROPN iajs-1812 51 25 so so ADV iajs-1812 51 26 , , PUNCT iajs-1812 51 27 the the DET iajs-1812 51 28 thompson thompson NOUN iajs-1812 51 29 - - PUNCT iajs-1812 51 30 type type NOUN iajs-1812 51 31 shrinkage shrinkage NOUN iajs-1812 51 32 estimator estimator NOUN iajs-1812 51 33 of of ADP iajs-1812 51 34 the the DET iajs-1812 51 35 survival survival NOUN iajs-1812 51 36 function function NOUN iajs-1812 51 37 is be AUX iajs-1812 51 38 𝑆 𝑆 PROPN iajs-1812 51 39 𝑡 𝑡 PROPN iajs-1812 51 40 exp exp NOUN iajs-1812 51 41 𝑡 𝑡 PROPN iajs-1812 51 42 𝛽 𝛽 PROPN iajs-1812 51 43 𝛾 𝛾 PROPN iajs-1812 51 44 4 4 NUM iajs-1812 51 45 2 2 NUM iajs-1812 51 46 . . NUM iajs-1812 51 47 3 3 NUM iajs-1812 51 48 pre pre ADJ iajs-1812 51 49 - - ADJ iajs-1812 51 50 test test ADJ iajs-1812 51 51 singles single NOUN iajs-1812 51 52 stage stage NOUN iajs-1812 51 53 shrinkage shrinkage NOUN iajs-1812 51 54 estimator estimator NOUN iajs-1812 51 55 method method NOUN iajs-1812 51 56 ( ( PUNCT iajs-1812 51 57 pr pr NOUN iajs-1812 51 58 ) ) PUNCT iajs-1812 51 59 as as SCONJ iajs-1812 51 60 thompson thompson NOUN iajs-1812 51 61 recommended recommend VERB iajs-1812 51 62 shrinking shrink VERB iajs-1812 51 63 the the DET iajs-1812 51 64 natural natural ADJ iajs-1812 51 65 estimator estimator NOUN iajs-1812 51 66 θ θ PROPN iajs-1812 51 67 of of ADP iajs-1812 51 68   PROPN iajs-1812 51 69 towards towards ADP iajs-1812 51 70 the the DET iajs-1812 51 71 prior prior ADJ iajs-1812 51 72 guess guess NOUN iajs-1812 51 73 point point NOUN iajs-1812 51 74 0 0 PROPN iajs-1812 51 75 , , PUNCT iajs-1812 51 76 the the DET iajs-1812 51 77 pre pre ADJ iajs-1812 51 78 - - ADJ iajs-1812 51 79 test test ADJ iajs-1812 51 80 shrinkage shrinkage NOUN iajs-1812 51 81 estimator estimator NOUN iajs-1812 51 82 defined define VERB iajs-1812 51 83 as as ADP iajs-1812 51 84 : : PUNCT iajs-1812 51 85 𝜃 𝜃 NUM iajs-1812 51 86 𝑘 𝑘 PRON iajs-1812 51 87 𝜃 𝜃 PRON iajs-1812 51 88 1 1 NUM iajs-1812 51 89 𝑘 𝑘 PRON iajs-1812 51 90 𝜃 𝜃 NUM iajs-1812 51 91 𝑖𝑓𝜃 𝑖𝑓𝜃 NOUN iajs-1812 51 92 ∈ ∈ PROPN iajs-1812 51 93 𝑅 𝑅 PROPN iajs-1812 51 94 𝜃 𝜃 PROPN iajs-1812 51 95 𝑖𝑓 𝑖𝑓 NOUN iajs-1812 51 96 𝜃 𝜃 NOUN iajs-1812 51 97 ∉ ∉ PROPN iajs-1812 51 98 𝑅 𝑅 PROPN iajs-1812 51 99 5 5 NUM iajs-1812 51 100 where where SCONJ iajs-1812 51 101 , , PUNCT iajs-1812 51 102 r r NOUN iajs-1812 51 103 refers refer VERB iajs-1812 51 104 to to ADP iajs-1812 51 105 the the DET iajs-1812 51 106 pretest pret ADJ iajs-1812 51 107 region region NOUN iajs-1812 51 108 for for ADP iajs-1812 51 109 acceptance acceptance NOUN iajs-1812 51 110 the the DET iajs-1812 51 111 null null ADJ iajs-1812 51 112 hypothesis hypothesis NOUN iajs-1812 51 113 h0: h0: NOUN iajs-1812 51 114 = = SYM iajs-1812 51 115 0 0 VERB iajs-1812 51 116 beside beside ADP iajs-1812 51 117 h1 h1 PROPN iajs-1812 51 118 : : PUNCT iajs-1812 51 119   PROPN iajs-1812 51 120   PROPN iajs-1812 51 121 0 0 PROPN iajs-1812 51 122 , , PUNCT iajs-1812 51 123 θ θ PROPN iajs-1812 51 124 is be AUX iajs-1812 51 125 the the DET iajs-1812 51 126 usual usual ADJ iajs-1812 51 127 estimator estimator NOUN iajs-1812 51 128 of of ADP iajs-1812 51 129   PROPN iajs-1812 51 130 , , PUNCT iajs-1812 51 131 2k 2k PROPN iajs-1812 51 132 is be AUX iajs-1812 51 133 a a DET iajs-1812 51 134 shrinkage shrinkage NOUN iajs-1812 51 135 weight weight NOUN iajs-1812 51 136 factor factor NOUN iajs-1812 51 137 such such ADJ iajs-1812 51 138 that that SCONJ iajs-1812 51 139 20 20 NUM iajs-1812 51 140 1k 1k NUM iajs-1812 51 141   NOUN iajs-1812 51 142 which which PRON iajs-1812 51 143 may may AUX iajs-1812 51 144 be be AUX iajs-1812 51 145 a a DET iajs-1812 51 146 function function NOUN iajs-1812 51 147 of of ADP iajs-1812 51 148 or or CCONJ iajs-1812 51 149 may may AUX iajs-1812 51 150 be be AUX iajs-1812 51 151 a a DET iajs-1812 51 152 constant;[13],[15 constant;[13],[15 PROPN iajs-1812 51 153 ] ] PUNCT iajs-1812 51 154 and[18 and[18 PROPN iajs-1812 51 155 ] ] PUNCT iajs-1812 51 156 . . PUNCT iajs-1812 52 1 in in ADP iajs-1812 52 2 this this DET iajs-1812 52 3 paper paper NOUN iajs-1812 52 4 , , PUNCT iajs-1812 52 5 we we PRON iajs-1812 52 6 may may AUX iajs-1812 52 7 assume assume VERB iajs-1812 52 8 the the DET iajs-1812 52 9 regions region NOUN iajs-1812 52 10 r r NOUN iajs-1812 52 11 as as ADV iajs-1812 52 12 follow follow VERB iajs-1812 52 13 : : PUNCT iajs-1812 52 14   ADJ iajs-1812 52 15 0 0 NOUN iajs-1812 52 16 0 0 NUM iajs-1812 52 17 , , PUNCT iajs-1812 52 18 + + CCONJ iajs-1812 52 19 , , PUNCT iajs-1812 52 20 = = SYM iajs-1812 52 21 0.01r 0.01r ADJ iajs-1812 52 22   X iajs-1812 52 23   PROPN iajs-1812 52 24   PUNCT iajs-1812 52 25   PROPN iajs-1812 52 26   PROPN iajs-1812 52 27   PROPN iajs-1812 52 28 and and CCONJ iajs-1812 52 29 , , PUNCT iajs-1812 52 30 1 1 NUM iajs-1812 52 31 2 2 NUM iajs-1812 52 32 2 2 NUM iajs-1812 52 33 , , PUNCT iajs-1812 52 34 0 0 NUM iajs-1812 52 35 1nk 1nk NOUN iajs-1812 52 36 e e X iajs-1812 52 37 k k PROPN iajs-1812 52 38   PROPN iajs-1812 52 39   PROPN iajs-1812 52 40   NOUN iajs-1812 52 41   NOUN iajs-1812 52 42 where where SCONJ iajs-1812 52 43 , , PUNCT iajs-1812 52 44 𝜃 𝜃 PRON iajs-1812 52 45 may may AUX iajs-1812 52 46 be be AUX iajs-1812 52 47 referred refer VERB iajs-1812 52 48 to to ADP iajs-1812 52 49 , , PUNCT iajs-1812 52 50 or or CCONJ iajs-1812 52 51   PROPN iajs-1812 52 52   PROPN iajs-1812 52 53   NUM iajs-1812 52 54 , , PUNCT iajs-1812 52 55 and and CCONJ iajs-1812 52 56 n=127(sample n=127(sample ADJ iajs-1812 52 57 size size NOUN iajs-1812 52 58 ) ) PUNCT iajs-1812 52 59 . . PUNCT iajs-1812 53 1 thus thus ADV iajs-1812 53 2 , , PUNCT iajs-1812 53 3 the the DET iajs-1812 53 4 pre pre ADJ iajs-1812 53 5 - - ADJ iajs-1812 53 6 test test ADJ iajs-1812 53 7 shrinkage shrinkage NOUN iajs-1812 53 8 estimator estimator NOUN iajs-1812 53 9 of of ADP iajs-1812 53 10 the the DET iajs-1812 53 11 survival survival NOUN iajs-1812 53 12 function function NOUN iajs-1812 53 13 is be AUX iajs-1812 53 14 defined define VERB iajs-1812 53 15 ̂ ̂ PUNCT iajs-1812 53 16 ihsciconf ihsciconf NOUN iajs-1812 53 17 2017 2017 NUM iajs-1812 53 18 special special ADJ iajs-1812 53 19 issue issue NOUN iajs-1812 53 20 ibn ibn PROPN iajs-1812 53 21 al al PROPN iajs-1812 53 22 - - PUNCT iajs-1812 53 23 haitham haitham PROPN iajs-1812 53 24 journal journal PROPN iajs-1812 53 25 for for ADP iajs-1812 53 26 pure pure ADJ iajs-1812 53 27 and and CCONJ iajs-1812 53 28 applied apply VERB iajs-1812 53 29 science science NOUN iajs-1812 53 30 https://doi.org/ https://doi.org/ NOUN iajs-1812 53 31 10.30526/2017.ihsciconf.1812 10.30526/2017.ihsciconf.1812 NUM iajs-1812 53 32 for for ADP iajs-1812 53 33 more more ADJ iajs-1812 53 34 information information NOUN iajs-1812 53 35 about about ADP iajs-1812 53 36 the the DET iajs-1812 53 37 conference conference NOUN iajs-1812 53 38 please please INTJ iajs-1812 53 39 visit visit VERB iajs-1812 53 40 the the DET iajs-1812 53 41 websites website NOUN iajs-1812 53 42 : : PUNCT iajs-1812 53 43 http://www.ihsciconf.org/conf/ http://www.ihsciconf.org/conf/ VERB iajs-1812 53 44     SPACE iajs-1812 53 45 www.ihsciconf.org www.ihsciconf.org ADJ iajs-1812 53 46       SPACE iajs-1812 53 47 mathematics mathematic NOUN iajs-1812 53 48 |399 |399 NOUN iajs-1812 53 49     SPACE iajs-1812 54 1 𝑆 𝑆 PROPN iajs-1812 54 2 𝑡 𝑡 PROPN iajs-1812 54 3 exp exp NOUN iajs-1812 54 4 𝑡 𝑡 PROPN iajs-1812 54 5 𝛽 𝛽 PROPN iajs-1812 54 6 𝛾 𝛾 PROPN iajs-1812 54 7 6 6 NUM iajs-1812 54 8 3 3 NUM iajs-1812 54 9 . . 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NOUN iajs-1812 91 7 comparing compare VERB iajs-1812 91 8 estimation estimation NOUN iajs-1812 91 9 methods method NOUN iajs-1812 91 10 of of ADP iajs-1812 91 11 weibull weibull PROPN iajs-1812 91 12 failure failure NOUN iajs-1812 91 13 model model NOUN iajs-1812 91 14 with with ADP iajs-1812 91 15 three three NUM iajs-1812 91 16 parameters parameter NOUN iajs-1812 91 17 , , PUNCT iajs-1812 91 18 m.sc m.sc PROPN iajs-1812 91 19 . . PUNCT iajs-1812 92 1 thesis thesis PROPN iajs-1812 92 2 , , PUNCT iajs-1812 92 3 baghdad baghdad PROPN iajs-1812 92 4 university university PROPN iajs-1812 92 5 , , PUNCT iajs-1812 92 6 college college NOUN iajs-1812 92 7 of of ADP iajs-1812 92 8 administration administration NOUN iajs-1812 92 9 and and CCONJ iajs-1812 92 10 economic economic ADJ iajs-1812 92 11 , , PUNCT iajs-1812 92 12 ( ( PUNCT iajs-1812 92 13 2004 2004 NUM iajs-1812 92 14 ) ) PUNCT iajs-1812 92 15 . . 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PUNCT iajs-1812 96 1 1 1 NUM iajs-1812 96 2 , , PUNCT iajs-1812 96 3 . . PUNCT iajs-1812 97 1 8 8 NUM iajs-1812 97 2 - - SYM iajs-1812 97 3 13 13 NUM iajs-1812 97 4 . . PUNCT iajs-1812 98 1 [ [ X iajs-1812 98 2 6 6 NUM iajs-1812 98 3 ] ] PUNCT iajs-1812 98 4 . . PUNCT iajs-1812 99 1 i. i. PROPN iajs-1812 99 2 denial denial PROPN iajs-1812 99 3 and and CCONJ iajs-1812 99 4 somani somani ADJ iajs-1812 99 5 k. k. PROPN iajs-1812 99 6 , , PUNCT iajs-1812 99 7 accelerated accelerate VERB iajs-1812 99 8 life life NOUN iajs-1812 99 9 testing testing NOUN iajs-1812 99 10 with with ADP iajs-1812 99 11 an an DET iajs-1812 99 12 underlying underlie VERB iajs-1812 99 13 three three NUM iajs-1812 99 14 – – PUNCT iajs-1812 99 15 parameters parameter NOUN iajs-1812 99 16 weibull weibull PROPN iajs-1812 99 17 model model PROPN iajs-1812 99 18 , , PUNCT iajs-1812 99 19 engevista engevista PROPN iajs-1812 99 20 , , PUNCT iajs-1812 99 21 ( ( PUNCT iajs-1812 99 22 2005 2005 NUM iajs-1812 99 23 ) ) PUNCT iajs-1812 99 24 , , PUNCT iajs-1812 99 25 . . PUNCT iajs-1812 100 1 7 7 NUM iajs-1812 100 2 , , PUNCT iajs-1812 100 3 . . PUNCT iajs-1812 101 1 1 1 NUM iajs-1812 101 2 , , PUNCT iajs-1812 101 3 55 55 NUM iajs-1812 101 4 – – PUNCT iajs-1812 101 5 62 62 NUM iajs-1812 101 6 . . PUNCT iajs-1812 102 1 [ [ X iajs-1812 102 2 7 7 NUM iajs-1812 102 3 ] ] PUNCT iajs-1812 102 4 . . PUNCT iajs-1812 103 1 j.h j.h PROPN iajs-1812 103 2 . . PROPN iajs-1812 103 3 heo heo PROPN iajs-1812 103 4 , , PUNCT iajs-1812 103 5 j.d j.d PROPN iajs-1812 103 6 . . PROPN iajs-1812 103 7 salas salas PROPN iajs-1812 103 8 and and CCONJ iajs-1812 103 9 k.d k.d PROPN iajs-1812 103 10 . . PROPN iajs-1812 103 11 , , PUNCT iajs-1812 103 12 kim kim PROPN iajs-1812 103 13 estimation estimation NOUN iajs-1812 103 14 of of ADP iajs-1812 103 15 confidence confidence NOUN iajs-1812 103 16 intervals interval NOUN iajs-1812 103 17 of of ADP iajs-1812 103 18 quintiles quintile NOUN iajs-1812 103 19 for for ADP iajs-1812 103 20 the the DET iajs-1812 103 21 weibull weibull NOUN iajs-1812 103 22 distribution distribution NOUN iajs-1812 103 23 , , PUNCT iajs-1812 103 24 stochastic stochastic ADJ iajs-1812 103 25 environmental environmental ADJ iajs-1812 103 26 research research NOUN iajs-1812 103 27 and and CCONJ iajs-1812 103 28 risk risk NOUN iajs-1812 103 29 assessment assessment NOUN iajs-1812 103 30 , , PUNCT iajs-1812 103 31 ( ( PUNCT iajs-1812 103 32 2001 2001 NUM iajs-1812 103 33 ) ) PUNCT iajs-1812 103 34 , , PUNCT iajs-1812 103 35 . . PUNCT iajs-1812 104 1 15 15 NUM iajs-1812 104 2 , , PUNCT iajs-1812 104 3 . . PUNCT iajs-1812 105 1 4 4 X iajs-1812 105 2 . . PUNCT iajs-1812 106 1 [ [ X iajs-1812 106 2 8 8 NUM iajs-1812 106 3 ] ] PUNCT iajs-1812 106 4 . . PUNCT iajs-1812 107 1 sh sh PROPN iajs-1812 107 2 . . PUNCT iajs-1812 108 1 a a DET iajs-1812 108 2 jasim jasim NOUN iajs-1812 108 3 , , PUNCT iajs-1812 108 4 . . PUNCT iajs-1812 108 5 , , PUNCT iajs-1812 108 6 estimate estimate VERB iajs-1812 108 7 the the DET iajs-1812 108 8 reliability reliability NOUN iajs-1812 108 9 function function NOUN iajs-1812 108 10 using use VERB iajs-1812 108 11 three three NUM iajs-1812 108 12 parameters parameter NOUN iajs-1812 108 13 weibull weibull NOUN iajs-1812 108 14 distribution distribution NOUN iajs-1812 108 15 , , PUNCT iajs-1812 108 16 m.sc m.sc PROPN iajs-1812 108 17 . . PUNCT iajs-1812 109 1 thesis thesis PROPN iajs-1812 109 2 , , PUNCT iajs-1812 109 3 baghdad baghdad PROPN iajs-1812 109 4 university university PROPN iajs-1812 109 5 , , PUNCT iajs-1812 109 6 college college NOUN iajs-1812 109 7 of of ADP iajs-1812 109 8 education education PROPN iajs-1812 109 9 ibn ibn PROPN iajs-1812 109 10 al al PROPN iajs-1812 109 11 - - PUNCT iajs-1812 109 12 haitham haitham PROPN iajs-1812 109 13 ( ( PUNCT iajs-1812 109 14 2010 2010 NUM iajs-1812 109 15 ) ) PUNCT iajs-1812 109 16 . . PUNCT iajs-1812 110 1 [ [ X iajs-1812 110 2 9 9 NUM iajs-1812 110 3 ] ] PUNCT iajs-1812 110 4 . . PUNCT iajs-1812 111 1 e.l e.l PROPN iajs-1812 111 2 . . PROPN iajs-1812 111 3 kaplan kaplan PROPN iajs-1812 111 4 , , PUNCT iajs-1812 111 5 & & CCONJ iajs-1812 111 6 p. p. PROPN iajs-1812 111 7 meier meier PROPN iajs-1812 111 8 , , PUNCT iajs-1812 111 9 , , PUNCT iajs-1812 111 10 non non PROPN iajs-1812 111 11 parametric parametric ADJ iajs-1812 111 12 estimation estimation NOUN iajs-1812 111 13 from from ADP iajs-1812 111 14 incomplete incomplete ADJ iajs-1812 111 15 observations observation NOUN iajs-1812 111 16 , , PUNCT iajs-1812 111 17 journa1 journa1 PROPN iajs-1812 111 18 of of ADP iajs-1812 111 19 the the DET iajs-1812 111 20 american american PROPN iajs-1812 111 21 statistical statistical PROPN iajs-1812 111 22 association association PROPN iajs-1812 111 23 , , PUNCT iajs-1812 111 24 ( ( PUNCT iajs-1812 111 25 1958 1958 NUM iajs-1812 111 26 ) ) PUNCT iajs-1812 111 27 , , PUNCT iajs-1812 111 28 . . PUNCT iajs-1812 112 1 53 53 NUM iajs-1812 112 2 , , PUNCT iajs-1812 112 3 . . PUNCT iajs-1812 113 1 457 457 NUM iajs-1812 113 2 - - SYM iajs-1812 113 3 481 481 NUM iajs-1812 113 4 . . PUNCT iajs-1812 114 1 [ [ X iajs-1812 114 2 10 10 NUM iajs-1812 114 3 ] ] PUNCT iajs-1812 114 4 . . PUNCT iajs-1812 115 1 r.h.r r.h.r PROPN iajs-1812 115 2 . . PUNCT iajs-1812 116 1 karim karim PROPN iajs-1812 116 2 , , PUNCT iajs-1812 116 3 point point NOUN iajs-1812 116 4 and and CCONJ iajs-1812 116 5 interval interval NOUN iajs-1812 116 6 estimation estimation NOUN iajs-1812 116 7 for for ADP iajs-1812 116 8 the the DET iajs-1812 116 9 three three NUM iajs-1812 116 10 – – PUNCT iajs-1812 116 11 parameters parameter NOUN iajs-1812 116 12 weibull weibull NOUN iajs-1812 116 13 distribution distribution NOUN iajs-1812 116 14 using use VERB iajs-1812 116 15 censored censored ADJ iajs-1812 116 16 data datum NOUN iajs-1812 116 17 , , PUNCT iajs-1812 116 18 sulaimani sulaimani PROPN iajs-1812 116 19 university university PROPN iajs-1812 116 20 , , PUNCT iajs-1812 116 21 ( ( PUNCT iajs-1812 116 22 2010 2010 NUM iajs-1812 116 23 ) ) PUNCT iajs-1812 116 24 . . 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PUNCT iajs-1812 119 1 17 17 NUM iajs-1812 119 2 , , PUNCT iajs-1812 119 3 no no INTJ iajs-1812 119 4 . . NOUN iajs-1812 119 5 2 2 NUM iajs-1812 120 1 [ [ X iajs-1812 120 2 12 12 NUM iajs-1812 120 3 ] ] PUNCT iajs-1812 120 4 . . PUNCT iajs-1812 121 1 d.f d.f PROPN iajs-1812 121 2 . . PROPN iajs-1812 121 3 , , PUNCT iajs-1812 121 4 majeed majeed PROPN iajs-1812 121 5 , , PUNCT iajs-1812 121 6 estimate estimate VERB iajs-1812 121 7 the the DET iajs-1812 121 8 parameters parameter NOUN iajs-1812 121 9 of of ADP iajs-1812 121 10 modified modify VERB iajs-1812 121 11 weibull weibull NOUN iajs-1812 121 12 distribution distribution NOUN iajs-1812 121 13 with with ADP iajs-1812 121 14 three three NUM iajs-1812 121 15 parameters parameter NOUN iajs-1812 121 16 , , PUNCT iajs-1812 121 17 m.sc m.sc PROPN iajs-1812 121 18 . . PUNCT iajs-1812 122 1 thesis thesis PROPN iajs-1812 122 2 , , PUNCT iajs-1812 122 3 baghdad baghdad PROPN iajs-1812 122 4 university university PROPN iajs-1812 122 5 , , PUNCT iajs-1812 122 6 college college NOUN iajs-1812 122 7 of of ADP iajs-1812 122 8 science science NOUN iajs-1812 122 9 for for ADP iajs-1812 122 10 women woman NOUN iajs-1812 122 11 , , PUNCT iajs-1812 122 12 ( ( PUNCT iajs-1812 122 13 2013 2013 NUM iajs-1812 122 14 ) ) PUNCT iajs-1812 122 15 . . PUNCT iajs-1812 123 1 [ [ X iajs-1812 123 2 13 13 NUM iajs-1812 123 3 ] ] PUNCT iajs-1812 123 4 . . PUNCT iajs-1812 124 1 j.s j.s PROPN iajs-1812 124 2 mehta mehta PROPN iajs-1812 124 3 , , PUNCT iajs-1812 124 4 . . PUNCT iajs-1812 124 5 & & CCONJ iajs-1812 124 6 r. r. PROPN iajs-1812 124 7 srinivasan srinivasan PROPN iajs-1812 124 8 , , PUNCT iajs-1812 124 9 , , PUNCT iajs-1812 124 10 estimation estimation NOUN iajs-1812 124 11 of of ADP iajs-1812 124 12 the the DET iajs-1812 124 13 mean mean NOUN iajs-1812 124 14 by by ADP iajs-1812 124 15 shrinkage shrinkage NOUN iajs-1812 124 16 to to ADP iajs-1812 124 17 a a DET iajs-1812 124 18 point point NOUN iajs-1812 124 19 , , PUNCT iajs-1812 124 20 j. j. PROPN iajs-1812 124 21 amer amer PROPN iajs-1812 124 22 . . PUNCT iajs-1812 124 23 statist statist PROPN iajs-1812 124 24 . . PUNCT iajs-1812 125 1 assoc assoc PROPN iajs-1812 125 2 . . PROPN iajs-1812 125 3 , , PUNCT iajs-1812 125 4 ( ( PUNCT iajs-1812 125 5 1971 1971 NUM iajs-1812 125 6 ) ) PUNCT iajs-1812 125 7 , , PUNCT iajs-1812 125 8 . . PUNCT iajs-1812 126 1 66 66 NUM iajs-1812 126 2 . . X iajs-1812 127 1 86 86 NUM iajs-1812 127 2 - - SYM iajs-1812 127 3 90 90 NUM iajs-1812 127 4 . . PUNCT iajs-1812 128 1 [ [ X iajs-1812 128 2 14 14 NUM iajs-1812 128 3 ] ] PUNCT iajs-1812 128 4 . . PUNCT iajs-1812 129 1 qamruz qamruz PROPN iajs-1812 129 2 zaman zaman PROPN iajs-1812 129 3 , , PUNCT iajs-1812 129 4 karl karl PROPN iajs-1812 129 5 p p PROPN iajs-1812 129 6 pfeiffer pfeiffer PROPN iajs-1812 129 7 , , PUNCT iajs-1812 129 8 survival survival NOUN iajs-1812 129 9 analysis analysis NOUN iajs-1812 129 10 medical medical ADJ iajs-1812 129 11 research research NOUN iajs-1812 129 12 , , PUNCT iajs-1812 129 13 ( ( PUNCT iajs-1812 129 14 2011 2011 NUM iajs-1812 129 15 ) ) PUNCT iajs-1812 129 16 , , PUNCT iajs-1812 129 17 http://interstat.statjournals.net/year/2011/abstracts/1105005.php http://interstat.statjournals.net/year/2011/abstracts/1105005.php PROPN iajs-1812 129 18 . . PUNCT iajs-1812 130 1 [ [ X iajs-1812 130 2 15 15 NUM iajs-1812 130 3 ] ] PUNCT iajs-1812 130 4 . . PUNCT iajs-1812 130 5 d.c d.c PROPN iajs-1812 130 6 . . PROPN iajs-1812 130 7 singh singh PROPN iajs-1812 130 8 , , PUNCT iajs-1812 130 9 , , PUNCT iajs-1812 130 10 singh singh PROPN iajs-1812 130 11 , , PUNCT iajs-1812 130 12 p. p. NOUN iajs-1812 130 13 and and CCONJ iajs-1812 130 14 singh singh PROPN iajs-1812 130 15 , , PUNCT iajs-1812 130 16 p.r p.r PROPN iajs-1812 130 17 . . 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NOUN iajs-1812 136 3 4 4 NUM iajs-1812 136 4 . . PUNCT iajs-1812 137 1 [ [ X iajs-1812 137 2 17 17 NUM iajs-1812 137 3 ] ] PUNCT iajs-1812 137 4 . . PUNCT iajs-1812 137 5 b.surucu b.surucu PROPN iajs-1812 137 6 and and CCONJ iajs-1812 137 7 h. h. PROPN iajs-1812 137 8 s. s. PROPN iajs-1812 137 9 sazak sazak PROPN iajs-1812 137 10 , , PUNCT iajs-1812 137 11 monitoring monitor VERB iajs-1812 137 12 reliability reliability NOUN iajs-1812 137 13 for for ADP iajs-1812 137 14 a a DET iajs-1812 137 15 three three NUM iajs-1812 137 16 – – PUNCT iajs-1812 137 17 parameters parameter NOUN iajs-1812 137 18 weibull weibull NOUN iajs-1812 137 19 distribution distribution NOUN iajs-1812 137 20 , , PUNCT iajs-1812 137 21 reliability reliability NOUN iajs-1812 137 22 engineering engineering NOUN iajs-1812 137 23 and and CCONJ iajs-1812 137 24 system system NOUN iajs-1812 137 25 safety safety NOUN iajs-1812 137 26 , , PUNCT iajs-1812 137 27 ( ( PUNCT iajs-1812 137 28 2009 2009 NUM iajs-1812 137 29 ) ) PUNCT iajs-1812 137 30 , , PUNCT iajs-1812 137 31 . . PUNCT iajs-1812 138 1 94 94 NUM iajs-1812 138 2 , , PUNCT iajs-1812 138 3 . . 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