id sid tid token lemma pos iajs-2617 1 1 108 108 NUM iajs-2617 1 2 ibn ibn PROPN iajs-2617 1 3 al al PROPN iajs-2617 1 4 - - PUNCT iajs-2617 1 5 haitham haitham PROPN iajs-2617 1 6 jour jour X iajs-2617 1 7 . . PROPN iajs-2617 1 8 for for ADP iajs-2617 1 9 pure pure ADJ iajs-2617 1 10 & & CCONJ iajs-2617 1 11 appl appl PROPN iajs-2617 1 12 . . PUNCT iajs-2617 2 1 sci sci PROPN iajs-2617 2 2 . . PROPN iajs-2617 3 1 34 34 NUM iajs-2617 3 2 ( ( PUNCT iajs-2617 3 3 2 2 NUM iajs-2617 3 4 ) ) PUNCT iajs-2617 3 5 2021 2021 NUM iajs-2617 3 6 parametric parametric NOUN iajs-2617 3 7 models model NOUN iajs-2617 3 8 in in ADP iajs-2617 3 9 survival survival NOUN iajs-2617 3 10 analysis analysis NOUN iajs-2617 3 11 for for ADP iajs-2617 3 12 lung lung NOUN iajs-2617 3 13 cancer cancer NOUN iajs-2617 3 14 patients patient NOUN iajs-2617 3 15 layla layla PROPN iajs-2617 3 16 a. a. PROPN iajs-2617 3 17 ahmed ahmed PROPN iajs-2617 3 18 layla.aziz@garmian.edu.krd layla.aziz@garmian.edu.krd PROPN iajs-2617 3 19 department department PROPN iajs-2617 3 20 of of ADP iajs-2617 3 21 mathematics mathematics PROPN iajs-2617 3 22 , , PUNCT iajs-2617 3 23 college college NOUN iajs-2617 3 24 of of ADP iajs-2617 3 25 education education NOUN iajs-2617 3 26 , , PUNCT iajs-2617 3 27 university university NOUN iajs-2617 3 28 of of ADP iajs-2617 3 29 garmian garmian PROPN iajs-2617 3 30 , , PUNCT iajs-2617 3 31 kurdistan kurdistan ADJ iajs-2617 3 32 region region NOUN iajs-2617 3 33 , , PUNCT iajs-2617 3 34 iraq iraq PROPN iajs-2617 3 35 abstract abstract NOUN iajs-2617 3 36 the the DET iajs-2617 3 37 aim aim NOUN iajs-2617 3 38 of of ADP iajs-2617 3 39 this this DET iajs-2617 3 40 study study NOUN iajs-2617 3 41 is be AUX iajs-2617 3 42 to to PART iajs-2617 3 43 estimate estimate VERB iajs-2617 3 44 the the DET iajs-2617 3 45 survival survival NOUN iajs-2617 3 46 function function NOUN iajs-2617 3 47 for for ADP iajs-2617 3 48 the the DET iajs-2617 3 49 data datum NOUN iajs-2617 3 50 of of ADP iajs-2617 3 51 lung lung NOUN iajs-2617 3 52 cancer cancer NOUN iajs-2617 3 53 patients patient NOUN iajs-2617 3 54 , , PUNCT iajs-2617 3 55 using use VERB iajs-2617 3 56 parametric parametric ADJ iajs-2617 3 57 methods method NOUN iajs-2617 3 58 ( ( PUNCT iajs-2617 3 59 weibull weibull PROPN iajs-2617 3 60 , , PUNCT iajs-2617 3 61 gumbel gumbel NOUN iajs-2617 3 62 , , PUNCT iajs-2617 3 63 exponential exponential NOUN iajs-2617 3 64 and and CCONJ iajs-2617 3 65 log log NOUN iajs-2617 3 66 - - PUNCT iajs-2617 3 67 logistic logistic NOUN iajs-2617 3 68 ) ) PUNCT iajs-2617 3 69 . . PUNCT iajs-2617 4 1 comparisons comparison NOUN iajs-2617 4 2 between between ADP iajs-2617 4 3 the the DET iajs-2617 4 4 proposed propose VERB iajs-2617 4 5 estimation estimation NOUN iajs-2617 4 6 method method NOUN iajs-2617 4 7 have have AUX iajs-2617 4 8 been be AUX iajs-2617 4 9 performed perform VERB iajs-2617 4 10 using use VERB iajs-2617 4 11 statistical statistical ADJ iajs-2617 4 12 indicator indicator NOUN iajs-2617 4 13 akaike akaike ADP iajs-2617 4 14 information information NOUN iajs-2617 4 15 criterion criterion NOUN iajs-2617 4 16 , , PUNCT iajs-2617 4 17 akaike akaike ADP iajs-2617 4 18 information information NOUN iajs-2617 4 19 criterion criterion NOUN iajs-2617 4 20 corrected correct VERB iajs-2617 4 21 and and CCONJ iajs-2617 4 22 bayesian bayesian NOUN iajs-2617 4 23 information information NOUN iajs-2617 4 24 criterion criterion NOUN iajs-2617 4 25 , , PUNCT iajs-2617 4 26 concluding conclude VERB iajs-2617 4 27 that that SCONJ iajs-2617 4 28 the the DET iajs-2617 4 29 survival survival NOUN iajs-2617 4 30 function function VERB iajs-2617 4 31 for for ADP iajs-2617 4 32 the the DET iajs-2617 4 33 lung lung NOUN iajs-2617 4 34 cancer cancer NOUN iajs-2617 4 35 by by ADP iajs-2617 4 36 using use VERB iajs-2617 4 37 gumbel gumbel NOUN iajs-2617 4 38 distribution distribution NOUN iajs-2617 4 39 model model NOUN iajs-2617 4 40 is be AUX iajs-2617 4 41 the the DET iajs-2617 4 42 best good ADJ iajs-2617 4 43 . . PUNCT iajs-2617 5 1 the the DET iajs-2617 5 2 expected expect VERB iajs-2617 5 3 values value NOUN iajs-2617 5 4 of of ADP iajs-2617 5 5 the the DET iajs-2617 5 6 survival survival NOUN iajs-2617 5 7 function function NOUN iajs-2617 5 8 of of ADP iajs-2617 5 9 all all DET iajs-2617 5 10 estimation estimation NOUN iajs-2617 5 11 methods method NOUN iajs-2617 5 12 that that PRON iajs-2617 5 13 are be AUX iajs-2617 5 14 proposed propose VERB iajs-2617 5 15 in in ADP iajs-2617 5 16 this this DET iajs-2617 5 17 study study NOUN iajs-2617 5 18 have have AUX iajs-2617 5 19 been be AUX iajs-2617 5 20 decreasing decrease VERB iajs-2617 5 21 gradually gradually ADV iajs-2617 5 22 with with ADP iajs-2617 5 23 increasing increase VERB iajs-2617 5 24 failure failure NOUN iajs-2617 5 25 times time NOUN iajs-2617 5 26 for for ADP iajs-2617 5 27 lung lung NOUN iajs-2617 5 28 cancer cancer NOUN iajs-2617 5 29 patients patient NOUN iajs-2617 5 30 , , PUNCT iajs-2617 5 31 which which PRON iajs-2617 5 32 means mean VERB iajs-2617 5 33 that that SCONJ iajs-2617 5 34 there there PRON iajs-2617 5 35 is be VERB iajs-2617 5 36 an an DET iajs-2617 5 37 opposite opposite ADJ iajs-2617 5 38 relationship relationship NOUN iajs-2617 5 39 failure failure NOUN iajs-2617 5 40 times time NOUN iajs-2617 5 41 and and CCONJ iajs-2617 5 42 survival survival NOUN iajs-2617 5 43 function function NOUN iajs-2617 5 44 . . PUNCT iajs-2617 6 1 keywords keyword NOUN iajs-2617 6 2 : : PUNCT iajs-2617 6 3 survival survival NOUN iajs-2617 6 4 analysis analysis NOUN iajs-2617 6 5 , , PUNCT iajs-2617 6 6 weibull weibull NOUN iajs-2617 6 7 distribution distribution NOUN iajs-2617 6 8 , , PUNCT iajs-2617 6 9 gumbel gumbel NOUN iajs-2617 6 10 distribution distribution NOUN iajs-2617 6 11 , , PUNCT iajs-2617 6 12 exponential exponential ADJ iajs-2617 6 13 distribution distribution NOUN iajs-2617 6 14 , , PUNCT iajs-2617 6 15 log log NOUN iajs-2617 6 16 - - PUNCT iajs-2617 6 17 logistic logistic ADJ iajs-2617 6 18 distribution distribution NOUN iajs-2617 6 19 . . PUNCT iajs-2617 7 1 1.introduction 1.introduction NUM iajs-2617 7 2 survival survival NOUN iajs-2617 7 3 analysis analysis NOUN iajs-2617 7 4 is be AUX iajs-2617 7 5 a a DET iajs-2617 7 6 branch branch NOUN iajs-2617 7 7 of of ADP iajs-2617 7 8 statistics statistic NOUN iajs-2617 7 9 which which PRON iajs-2617 7 10 deals deal VERB iajs-2617 7 11 with with ADP iajs-2617 7 12 the the DET iajs-2617 7 13 analysis analysis NOUN iajs-2617 7 14 of of ADP iajs-2617 7 15 time time NOUN iajs-2617 7 16 to to ADP iajs-2617 7 17 events event NOUN iajs-2617 7 18 , , PUNCT iajs-2617 7 19 such such ADJ iajs-2617 7 20 as as ADP iajs-2617 7 21 death death NOUN iajs-2617 7 22 in in ADP iajs-2617 7 23 biological biological ADJ iajs-2617 7 24 organisms organism NOUN iajs-2617 7 25 and and CCONJ iajs-2617 7 26 failure failure NOUN iajs-2617 7 27 in in ADP iajs-2617 7 28 mechanical mechanical ADJ iajs-2617 7 29 systems system NOUN iajs-2617 7 30 . . PUNCT iajs-2617 8 1 the the DET iajs-2617 8 2 topic topic NOUN iajs-2617 8 3 of of ADP iajs-2617 8 4 survival survival NOUN iajs-2617 8 5 analysis analysis NOUN iajs-2617 8 6 is be AUX iajs-2617 8 7 called call VERB iajs-2617 8 8 reliability reliability NOUN iajs-2617 8 9 theory theory NOUN iajs-2617 8 10 or or CCONJ iajs-2617 8 11 reliability reliability NOUN iajs-2617 8 12 analysis analysis NOUN iajs-2617 8 13 in in ADP iajs-2617 8 14 engineering engineering NOUN iajs-2617 8 15 , , PUNCT iajs-2617 8 16 and and CCONJ iajs-2617 8 17 duration duration NOUN iajs-2617 8 18 analysis analysis NOUN iajs-2617 8 19 or or CCONJ iajs-2617 8 20 duration duration NOUN iajs-2617 8 21 modeling modeling NOUN iajs-2617 8 22 in in ADP iajs-2617 8 23 economics economic NOUN iajs-2617 8 24 or or CCONJ iajs-2617 8 25 event event NOUN iajs-2617 8 26 history history NOUN iajs-2617 8 27 analysis analysis NOUN iajs-2617 8 28 in in ADP iajs-2617 8 29 sociology sociology NOUN iajs-2617 8 30 [ [ X iajs-2617 8 31 1 1 NUM iajs-2617 8 32 ] ] PUNCT iajs-2617 8 33 . . PUNCT iajs-2617 9 1 in in ADP iajs-2617 9 2 many many ADJ iajs-2617 9 3 applied apply VERB iajs-2617 9 4 sciences science NOUN iajs-2617 9 5 such such ADJ iajs-2617 9 6 as as ADP iajs-2617 9 7 medicine medicine NOUN iajs-2617 9 8 , , PUNCT iajs-2617 9 9 engineering engineering NOUN iajs-2617 9 10 and and CCONJ iajs-2617 9 11 finance finance NOUN iajs-2617 9 12 , , PUNCT iajs-2617 9 13 amongst amongst ADP iajs-2617 9 14 others other NOUN iajs-2617 9 15 , , PUNCT iajs-2617 9 16 modeling modeling NOUN iajs-2617 9 17 and and CCONJ iajs-2617 9 18 analyzing analyze VERB iajs-2617 9 19 lifetime lifetime NOUN iajs-2617 9 20 data datum NOUN iajs-2617 9 21 are be AUX iajs-2617 9 22 crucial crucial ADJ iajs-2617 9 23 . . PUNCT iajs-2617 10 1 several several ADJ iajs-2617 10 2 lifetime lifetime NOUN iajs-2617 10 3 distributions distribution NOUN iajs-2617 10 4 have have AUX iajs-2617 10 5 been be AUX iajs-2617 10 6 used use VERB iajs-2617 10 7 to to PART iajs-2617 10 8 model model VERB iajs-2617 10 9 such such ADJ iajs-2617 10 10 type type NOUN iajs-2617 10 11 of of ADP iajs-2617 10 12 data datum NOUN iajs-2617 10 13 . . PUNCT iajs-2617 11 1 the the DET iajs-2617 11 2 quality quality NOUN iajs-2617 11 3 of of ADP iajs-2617 11 4 the the DET iajs-2617 11 5 executions execution NOUN iajs-2617 11 6 and and CCONJ iajs-2617 11 7 in in ADP iajs-2617 11 8 a a DET iajs-2617 11 9 statistical statistical ADJ iajs-2617 11 10 analysis analysis NOUN iajs-2617 11 11 depends depend VERB iajs-2617 11 12 heavily heavily ADV iajs-2617 11 13 on on ADP iajs-2617 11 14 the the DET iajs-2617 11 15 presupposed presuppose VERB iajs-2617 11 16 probability probability NOUN iajs-2617 11 17 distributions distribution NOUN iajs-2617 11 18 [ [ X iajs-2617 11 19 2 2 NUM iajs-2617 11 20 ] ] PUNCT iajs-2617 11 21 . . PUNCT iajs-2617 12 1 parametric parametric ADJ iajs-2617 12 2 methods method NOUN iajs-2617 12 3 which which PRON iajs-2617 12 4 involve involve VERB iajs-2617 12 5 the the DET iajs-2617 12 6 exponential exponential NOUN iajs-2617 12 7 , , PUNCT iajs-2617 12 8 weibull weibull NOUN iajs-2617 12 9 , , PUNCT iajs-2617 12 10 lognormal lognormal ADJ iajs-2617 12 11 , , PUNCT iajs-2617 12 12 gamma gamma NOUN iajs-2617 12 13 and and CCONJ iajs-2617 12 14 extreme extreme ADJ iajs-2617 12 15 value value NOUN iajs-2617 12 16 distribution distribution NOUN iajs-2617 12 17 have have AUX iajs-2617 12 18 been be AUX iajs-2617 12 19 widely widely ADV iajs-2617 12 20 used use VERB iajs-2617 12 21 for for ADP iajs-2617 12 22 fitting fitting ADJ iajs-2617 12 23 survival survival NOUN iajs-2617 12 24 data datum NOUN iajs-2617 12 25 [ [ X iajs-2617 12 26 3 3 NUM iajs-2617 12 27 ] ] PUNCT iajs-2617 12 28 . . PUNCT iajs-2617 13 1 ibn ibn PROPN iajs-2617 13 2 al al PROPN iajs-2617 13 3 haitham haitham PROPN iajs-2617 13 4 journal journal PROPN iajs-2617 13 5 for for ADP iajs-2617 13 6 pure pure ADJ iajs-2617 13 7 and and CCONJ iajs-2617 13 8 applied apply VERB iajs-2617 13 9 science science NOUN iajs-2617 13 10 journal journal PROPN iajs-2617 13 11 homepage homepage NOUN iajs-2617 13 12 : : PUNCT iajs-2617 13 13 http://jih.uobaghdad.edu.iq/index.php/j/index http://jih.uobaghdad.edu.iq/index.php/j/index NOUN iajs-2617 13 14 doi doi NOUN iajs-2617 13 15 : : PUNCT iajs-2617 13 16 10.30526/34.2.2617 10.30526/34.2.2617 NUM iajs-2617 13 17 article article NOUN iajs-2617 13 18 history history NOUN iajs-2617 13 19 : : PUNCT iajs-2617 13 20 received receive VERB iajs-2617 13 21 , , PUNCT iajs-2617 13 22 7,january,2020 7,january,2020 NOUN iajs-2617 13 23 , , PUNCT iajs-2617 13 24 accepted accept VERB iajs-2617 13 25 20 20 NUM iajs-2617 13 26 , , PUNCT iajs-2617 13 27 februry,2020 februry,2020 PROPN iajs-2617 13 28 , , PUNCT iajs-2617 13 29 published publish VERB iajs-2617 13 30 in in ADP iajs-2617 13 31 april april PROPN iajs-2617 13 32 2021 2021 NUM iajs-2617 13 33 mailto:layla.aziz@garmian.edu.krd mailto:layla.aziz@garmian.edu.krd NOUN iajs-2617 13 34 109 109 NUM iajs-2617 13 35 ibn ibn PROPN iajs-2617 13 36 al al PROPN iajs-2617 13 37 - - PUNCT iajs-2617 13 38 haitham haitham PROPN iajs-2617 13 39 jour jour X iajs-2617 13 40 . . PROPN iajs-2617 14 1 for for ADP iajs-2617 14 2 pure pure ADJ iajs-2617 14 3 & & CCONJ iajs-2617 14 4 appl appl PROPN iajs-2617 14 5 . . PUNCT iajs-2617 15 1 sci sci PROPN iajs-2617 15 2 . . PROPN iajs-2617 16 1 34 34 NUM iajs-2617 16 2 ( ( PUNCT iajs-2617 16 3 2 2 NUM iajs-2617 16 4 ) ) PUNCT iajs-2617 16 5 2021 2021 NUM iajs-2617 16 6 gumbel gumbel NOUN iajs-2617 16 7 showed show VERB iajs-2617 16 8 that that SCONJ iajs-2617 16 9 the the DET iajs-2617 16 10 weibull weibull PROPN iajs-2617 16 11 distribution distribution NOUN iajs-2617 16 12 and and CCONJ iajs-2617 16 13 the the DET iajs-2617 16 14 type type NOUN iajs-2617 16 15 ๐ผ๐ผ๐ผ ๐ผ๐ผ๐ผ NOUN iajs-2617 16 16 smallest small ADJ iajs-2617 16 17 extreme extreme ADJ iajs-2617 16 18 value value NOUN iajs-2617 16 19 distribution distribution NOUN iajs-2617 16 20 are be AUX iajs-2617 16 21 the the DET iajs-2617 16 22 same same ADJ iajs-2617 16 23 [ [ X iajs-2617 16 24 4 4 NUM iajs-2617 16 25 ] ] PUNCT iajs-2617 16 26 . . PUNCT iajs-2617 17 1 loglogistic loglogistic ADJ iajs-2617 17 2 distribution distribution NOUN iajs-2617 17 3 is be AUX iajs-2617 17 4 a a DET iajs-2617 17 5 very very ADV iajs-2617 17 6 important important ADJ iajs-2617 17 7 reliability reliability NOUN iajs-2617 17 8 model model NOUN iajs-2617 17 9 as as SCONJ iajs-2617 17 10 it it PRON iajs-2617 17 11 fits fit VERB iajs-2617 17 12 well well ADV iajs-2617 17 13 in in ADP iajs-2617 17 14 many many ADJ iajs-2617 17 15 applied apply VERB iajs-2617 17 16 situations situation NOUN iajs-2617 17 17 of of ADP iajs-2617 17 18 reliability reliability NOUN iajs-2617 17 19 data datum NOUN iajs-2617 17 20 analysis analysis NOUN iajs-2617 17 21 . . PUNCT iajs-2617 18 1 another another DET iajs-2617 18 2 advantage advantage NOUN iajs-2617 18 3 with with ADP iajs-2617 18 4 the the DET iajs-2617 18 5 loglogistic loglogistic ADJ iajs-2617 18 6 distribution distribution NOUN iajs-2617 18 7 lies lie VERB iajs-2617 18 8 in in ADP iajs-2617 18 9 its its PRON iajs-2617 18 10 closed closed ADJ iajs-2617 18 11 form form NOUN iajs-2617 18 12 expression expression NOUN iajs-2617 18 13 for for ADP iajs-2617 18 14 survival survival NOUN iajs-2617 18 15 and and CCONJ iajs-2617 18 16 failure failure NOUN iajs-2617 18 17 rate rate NOUN iajs-2617 18 18 functions function NOUN iajs-2617 18 19 that that PRON iajs-2617 18 20 makes make VERB iajs-2617 18 21 it it PRON iajs-2617 18 22 important important ADJ iajs-2617 18 23 over over ADP iajs-2617 18 24 lognormal lognormal ADJ iajs-2617 18 25 distribution distribution NOUN iajs-2617 18 26 [ [ X iajs-2617 18 27 5 5 NUM iajs-2617 18 28 ] ] PUNCT iajs-2617 18 29 . . PUNCT iajs-2617 19 1 salman salman PROPN iajs-2617 19 2 and and CCONJ iajs-2617 19 3 farhan farhan PROPN iajs-2617 20 1 [ [ X iajs-2617 20 2 6 6 NUM iajs-2617 20 3 ] ] PUNCT iajs-2617 20 4 estimated estimate VERB iajs-2617 20 5 the the DET iajs-2617 20 6 survival survival NOUN iajs-2617 20 7 function function NOUN iajs-2617 20 8 for for ADP iajs-2617 20 9 the the DET iajs-2617 20 10 patients patient NOUN iajs-2617 20 11 of of ADP iajs-2617 20 12 lung lung NOUN iajs-2617 20 13 cancer cancer NOUN iajs-2617 20 14 ; ; PUNCT iajs-2617 20 15 they they PRON iajs-2617 20 16 used use VERB iajs-2617 20 17 several several ADJ iajs-2617 20 18 nonparametric nonparametric NOUN iajs-2617 20 19 estimation estimation NOUN iajs-2617 20 20 methods method NOUN iajs-2617 20 21 , , PUNCT iajs-2617 20 22 and and CCONJ iajs-2617 20 23 concluded conclude VERB iajs-2617 20 24 that that SCONJ iajs-2617 20 25 the the DET iajs-2617 20 26 shrinkage shrinkage NOUN iajs-2617 20 27 was be AUX iajs-2617 20 28 the the DET iajs-2617 20 29 best good ADJ iajs-2617 20 30 method method NOUN iajs-2617 20 31 . . PUNCT iajs-2617 21 1 the the DET iajs-2617 21 2 main main ADJ iajs-2617 21 3 objective objective NOUN iajs-2617 21 4 of of ADP iajs-2617 21 5 this this DET iajs-2617 21 6 research research NOUN iajs-2617 21 7 is be AUX iajs-2617 21 8 to to PART iajs-2617 21 9 estimate estimate VERB iajs-2617 21 10 the the DET iajs-2617 21 11 survival survival NOUN iajs-2617 21 12 function function NOUN iajs-2617 21 13 for for ADP iajs-2617 21 14 the the DET iajs-2617 21 15 data datum NOUN iajs-2617 21 16 of of ADP iajs-2617 21 17 lung lung NOUN iajs-2617 21 18 cancer cancer NOUN iajs-2617 21 19 patients patient NOUN iajs-2617 21 20 , , PUNCT iajs-2617 21 21 by by ADP iajs-2617 21 22 using use VERB iajs-2617 21 23 parametric parametric ADJ iajs-2617 21 24 methods method NOUN iajs-2617 21 25 and and CCONJ iajs-2617 21 26 determine determine VERB iajs-2617 21 27 the the DET iajs-2617 21 28 best good ADJ iajs-2617 21 29 and and CCONJ iajs-2617 21 30 most most ADV iajs-2617 21 31 efficient efficient ADJ iajs-2617 21 32 distribution distribution NOUN iajs-2617 21 33 . . PUNCT iajs-2617 22 1 2 2 X iajs-2617 22 2 . . X iajs-2617 22 3 theoretical theoretical ADJ iajs-2617 22 4 part part NOUN iajs-2617 22 5 2.1 2.1 NUM iajs-2617 22 6 survival survival NOUN iajs-2617 22 7 analysis analysis NOUN iajs-2617 22 8 survival survival NOUN iajs-2617 22 9 function function NOUN iajs-2617 22 10 is be AUX iajs-2617 22 11 the the DET iajs-2617 22 12 probability probability NOUN iajs-2617 22 13 that that SCONJ iajs-2617 22 14 a a DET iajs-2617 22 15 system system NOUN iajs-2617 22 16 or or CCONJ iajs-2617 22 17 component component NOUN iajs-2617 22 18 will will AUX iajs-2617 22 19 survive survive VERB iajs-2617 22 20 without without ADP iajs-2617 22 21 failure failure NOUN iajs-2617 22 22 during during ADP iajs-2617 22 23 a a DET iajs-2617 22 24 specified specified ADJ iajs-2617 22 25 time time NOUN iajs-2617 22 26 interval interval NOUN iajs-2617 22 27 [ [ X iajs-2617 22 28 0 0 NUM iajs-2617 22 29 , , PUNCT iajs-2617 22 30 ๐‘ก ๐‘ก X iajs-2617 22 31 ] ] PUNCT iajs-2617 22 32 under under ADP iajs-2617 22 33 given give VERB iajs-2617 22 34 operating operating NOUN iajs-2617 22 35 conditionals conditional NOUN iajs-2617 22 36 , , PUNCT iajs-2617 22 37 denoted denote VERB iajs-2617 22 38 by by ADP iajs-2617 22 39 ๐‘† ๐‘† PROPN iajs-2617 22 40 , , PUNCT iajs-2617 22 41 which which PRON iajs-2617 22 42 is be AUX iajs-2617 22 43 defined define VERB iajs-2617 22 44 as as ADP iajs-2617 22 45 [ [ X iajs-2617 22 46 7 7 NUM iajs-2617 22 47 ] ] NOUN iajs-2617 22 48 : : PUNCT iajs-2617 22 49 ๐‘†(๐‘ก ๐‘†(๐‘ก ADJ iajs-2617 22 50 ) ) PUNCT iajs-2617 22 51 = = NOUN iajs-2617 22 52 ๐‘ƒ(๐‘‡ ๐‘ƒ(๐‘‡ X iajs-2617 22 53 > > SYM iajs-2617 22 54 ๐‘ก ๐‘ก PROPN iajs-2617 22 55 ) ) PUNCT iajs-2617 22 56 = = SYM iajs-2617 22 57 โˆซ โˆซ PROPN iajs-2617 22 58 ๐‘“(๐‘ข)๐‘‘๐‘ข ๐‘“(๐‘ข)๐‘‘๐‘ข NOUN iajs-2617 22 59 , , PUNCT iajs-2617 22 60 ๐‘ก ๐‘ก PROPN iajs-2617 22 61 โ‰ฅ โ‰ฅ NOUN iajs-2617 22 62 0 0 NUM iajs-2617 22 63 โˆž โˆž NUM iajs-2617 22 64 ๐‘ก ๐‘ก PROPN iajs-2617 22 65 ( ( PUNCT iajs-2617 22 66 1 1 NUM iajs-2617 22 67 ) ) PUNCT iajs-2617 22 68 where where SCONJ iajs-2617 22 69 , , PUNCT iajs-2617 22 70 ๐‘‡ ๐‘‡ PROPN iajs-2617 22 71 is be AUX iajs-2617 22 72 a a DET iajs-2617 22 73 random random ADJ iajs-2617 22 74 variable variable NOUN iajs-2617 22 75 , , PUNCT iajs-2617 22 76 ๐‘ก ๐‘ก PROPN iajs-2617 22 77 is be AUX iajs-2617 22 78 the the DET iajs-2617 22 79 time time NOUN iajs-2617 22 80 of of ADP iajs-2617 22 81 death death NOUN iajs-2617 22 82 . . PUNCT iajs-2617 23 1 the the DET iajs-2617 23 2 survival survival NOUN iajs-2617 23 3 function function PROPN iajs-2617 23 4 ๐‘†(๐‘ก ๐‘†(๐‘ก VERB iajs-2617 23 5 ) ) PUNCT iajs-2617 23 6 is be AUX iajs-2617 23 7 the the DET iajs-2617 23 8 probability probability NOUN iajs-2617 23 9 that that SCONJ iajs-2617 23 10 the the DET iajs-2617 23 11 patient patient NOUN iajs-2617 23 12 will will AUX iajs-2617 23 13 survival survival VERB iajs-2617 23 14 till till SCONJ iajs-2617 23 15 time time NOUN iajs-2617 23 16 ๐‘ก. ๐‘ก. PROPN iajs-2617 23 17 survival survival PROPN iajs-2617 23 18 probability probability NOUN iajs-2617 23 19 is be AUX iajs-2617 23 20 usually usually ADV iajs-2617 23 21 assumed assume VERB iajs-2617 23 22 to to PART iajs-2617 23 23 approach approach VERB iajs-2617 23 24 zero zero NUM iajs-2617 23 25 as as ADP iajs-2617 23 26 age age NOUN iajs-2617 23 27 increases increase NOUN iajs-2617 23 28 , , PUNCT iajs-2617 23 29 with with ADP iajs-2617 23 30 : : PUNCT iajs-2617 23 31 ๐‘†(0 ๐‘†(0 NUM iajs-2617 23 32 ) ) PUNCT iajs-2617 23 33 = = SYM iajs-2617 23 34 1 1 NUM iajs-2617 23 35 lim lim NOUN iajs-2617 23 36 ๐‘กโ†’โˆž ๐‘กโ†’โˆž NUM iajs-2617 23 37 ๐‘†(๐‘ก ๐‘†(๐‘ก X iajs-2617 23 38 ) ) PUNCT iajs-2617 23 39 = = SYM iajs-2617 23 40 0 0 NUM iajs-2617 23 41 ๐‘†(๐‘ก ๐‘†(๐‘ก NUM iajs-2617 23 42 ) ) PUNCT iajs-2617 23 43 is be AUX iajs-2617 23 44 decreasing decrease VERB iajs-2617 23 45 and and CCONJ iajs-2617 23 46 continuous continuous ADJ iajs-2617 23 47 from from ADP iajs-2617 23 48 right right ADJ iajs-2617 23 49 side side NOUN iajs-2617 23 50 . . PUNCT iajs-2617 24 1 it it PRON iajs-2617 24 2 is be AUX iajs-2617 24 3 linked link VERB iajs-2617 24 4 with with ADP iajs-2617 24 5 the the DET iajs-2617 24 6 failure failure NOUN iajs-2617 24 7 distribution distribution NOUN iajs-2617 24 8 function function NOUN iajs-2617 24 9 ๐น(๐‘ก ๐น(๐‘ก PRON iajs-2617 24 10 ) ) PUNCT iajs-2617 24 11 and and CCONJ iajs-2617 24 12 in in ADP iajs-2617 24 13 fact fact NOUN iajs-2617 24 14 , , PUNCT iajs-2617 24 15 it it PRON iajs-2617 24 16 is be AUX iajs-2617 24 17 the the DET iajs-2617 24 18 complement complement NOUN iajs-2617 24 19 of of ADP iajs-2617 24 20 it it PRON iajs-2617 24 21 , , PUNCT iajs-2617 24 22 i.e. i.e. X iajs-2617 24 23 : : PUNCT iajs-2617 24 24 ๐‘†(๐‘ก ๐‘†(๐‘ก NUM iajs-2617 24 25 ) ) PUNCT iajs-2617 24 26 = = SYM iajs-2617 24 27 1 1 NUM iajs-2617 24 28 โˆ’ โˆ’ NUM iajs-2617 24 29 ๐น(๐‘ก ๐น(๐‘ก NUM iajs-2617 24 30 ) ) PUNCT iajs-2617 24 31 ( ( PUNCT iajs-2617 24 32 2 2 X iajs-2617 24 33 ) ) PUNCT iajs-2617 24 34 ๐‘‘ ๐‘‘ VERB iajs-2617 24 35 ๐‘‘๐‘ก ๐‘‘๐‘ก ADP iajs-2617 24 36 ๐‘†(๐‘ก ๐‘†(๐‘ก ADJ iajs-2617 24 37 ) ) PUNCT iajs-2617 24 38 = = SYM iajs-2617 24 39 โˆ’๐‘“(๐‘ก โˆ’๐‘“(๐‘ก ADJ iajs-2617 24 40 ) ) PUNCT iajs-2617 24 41 ( ( PUNCT iajs-2617 24 42 3 3 X iajs-2617 24 43 ) ) PUNCT iajs-2617 24 44 2.2 2.2 NUM iajs-2617 24 45 life life NOUN iajs-2617 24 46 time time NOUN iajs-2617 24 47 distribution distribution NOUN iajs-2617 24 48 function function VERB iajs-2617 24 49 the the DET iajs-2617 24 50 life life NOUN iajs-2617 24 51 time time NOUN iajs-2617 24 52 distribution distribution NOUN iajs-2617 24 53 function function NOUN iajs-2617 24 54 , , PUNCT iajs-2617 24 55 is be AUX iajs-2617 24 56 defined define VERB iajs-2617 24 57 as as ADP iajs-2617 24 58 the the DET iajs-2617 24 59 complement complement NOUN iajs-2617 24 60 of of ADP iajs-2617 24 61 the the DET iajs-2617 24 62 survival survival NOUN iajs-2617 24 63 function function NOUN iajs-2617 25 1 [ [ X iajs-2617 25 2 1 1 NUM iajs-2617 25 3 ] ] PUNCT iajs-2617 25 4 , , PUNCT iajs-2617 25 5 ๐น(๐‘ก ๐น(๐‘ก NUM iajs-2617 25 6 ) ) PUNCT iajs-2617 25 7 = = NOUN iajs-2617 25 8 ๐‘ƒ(๐‘‡ ๐‘ƒ(๐‘‡ X iajs-2617 25 9 โ‰ค โ‰ค NUM iajs-2617 25 10 ๐‘ก ๐‘ก X iajs-2617 25 11 ) ) PUNCT iajs-2617 25 12 = = SYM iajs-2617 26 1 1 1 NUM iajs-2617 26 2 โˆ’ โˆ’ NOUN iajs-2617 26 3 ๐‘†(๐‘ก ๐‘†(๐‘ก ADJ iajs-2617 26 4 ) ) PUNCT iajs-2617 26 5 ( ( PUNCT iajs-2617 26 6 4 4 X iajs-2617 26 7 ) ) PUNCT iajs-2617 26 8 if if SCONJ iajs-2617 26 9 ๐น(๐‘ก ๐น(๐‘ก NOUN iajs-2617 26 10 ) ) PUNCT iajs-2617 26 11 is be AUX iajs-2617 26 12 differentiable differentiable ADJ iajs-2617 26 13 then then ADV iajs-2617 26 14 the the DET iajs-2617 26 15 derivative derivative NOUN iajs-2617 26 16 , , PUNCT iajs-2617 26 17 which which PRON iajs-2617 26 18 is be AUX iajs-2617 26 19 the the DET iajs-2617 26 20 density density NOUN iajs-2617 26 21 function function NOUN iajs-2617 26 22 of of ADP iajs-2617 26 23 the the DET iajs-2617 26 24 lifetime lifetime NOUN iajs-2617 26 25 distribution distribution NOUN iajs-2617 26 26 is be AUX iajs-2617 26 27 , , PUNCT iajs-2617 26 28 ๐‘“(๐‘ก ๐‘“(๐‘ก PROPN iajs-2617 26 29 ) ) PUNCT iajs-2617 27 1 = = SYM iajs-2617 27 2 ๐‘‘ ๐‘‘ NOUN iajs-2617 27 3 ๐‘‘๐‘ก ๐‘‘๐‘ก ADP iajs-2617 27 4 ๐น(๐‘ก ๐น(๐‘ก PRON iajs-2617 27 5 ) ) PUNCT iajs-2617 27 6 ( ( PUNCT iajs-2617 27 7 5 5 NUM iajs-2617 27 8 ) ) PUNCT iajs-2617 27 9 110 110 NUM iajs-2617 27 10 ibn ibn PROPN iajs-2617 27 11 al al PROPN iajs-2617 27 12 - - PUNCT iajs-2617 27 13 haitham haitham PROPN iajs-2617 27 14 jour jour X iajs-2617 27 15 . . PROPN iajs-2617 27 16 for for ADP iajs-2617 27 17 pure pure ADJ iajs-2617 27 18 & & CCONJ iajs-2617 27 19 appl appl PROPN iajs-2617 27 20 . . PUNCT iajs-2617 28 1 sci sci PROPN iajs-2617 28 2 . . PROPN iajs-2617 29 1 34 34 NUM iajs-2617 29 2 ( ( PUNCT iajs-2617 29 3 2 2 NUM iajs-2617 29 4 ) ) PUNCT iajs-2617 29 5 2021 2021 NUM iajs-2617 29 6 the the DET iajs-2617 29 7 function function NOUN iajs-2617 29 8 ๐‘“(๐‘ก ๐‘“(๐‘ก PROPN iajs-2617 29 9 ) ) PUNCT iajs-2617 29 10 is be AUX iajs-2617 29 11 sometimes sometimes ADV iajs-2617 29 12 called call VERB iajs-2617 29 13 the the DET iajs-2617 29 14 event event NOUN iajs-2617 29 15 density density NOUN iajs-2617 29 16 ; ; PUNCT iajs-2617 29 17 it it PRON iajs-2617 29 18 is be AUX iajs-2617 29 19 the the DET iajs-2617 29 20 rate rate NOUN iajs-2617 29 21 of of ADP iajs-2617 29 22 death death NOUN iajs-2617 29 23 or or CCONJ iajs-2617 29 24 failure failure NOUN iajs-2617 29 25 events event NOUN iajs-2617 29 26 per per ADP iajs-2617 29 27 unit unit NOUN iajs-2617 29 28 time time NOUN iajs-2617 29 29 . . PUNCT iajs-2617 30 1 2.3 2.3 NUM iajs-2617 30 2 hazard hazard NOUN iajs-2617 30 3 function function NOUN iajs-2617 30 4 hazard hazard NOUN iajs-2617 30 5 function function NOUN iajs-2617 30 6 is be AUX iajs-2617 30 7 also also ADV iajs-2617 30 8 known know VERB iajs-2617 30 9 as as ADP iajs-2617 30 10 the the DET iajs-2617 30 11 immediate immediate ADJ iajs-2617 30 12 failure failure NOUN iajs-2617 30 13 rate rate NOUN iajs-2617 30 14 [ [ X iajs-2617 30 15 8 8 NUM iajs-2617 30 16 ] ] PUNCT iajs-2617 30 17 . . PUNCT iajs-2617 31 1 this this PRON iajs-2617 31 2 is be AUX iajs-2617 31 3 the the DET iajs-2617 31 4 limit limit NOUN iajs-2617 31 5 of of ADP iajs-2617 31 6 the the DET iajs-2617 31 7 conditional conditional ADJ iajs-2617 31 8 probability probability NOUN iajs-2617 31 9 that that SCONJ iajs-2617 31 10 an an DET iajs-2617 31 11 item item NOUN iajs-2617 31 12 will will AUX iajs-2617 31 13 fail fail VERB iajs-2617 31 14 in in ADP iajs-2617 31 15 the the DET iajs-2617 31 16 time time NOUN iajs-2617 31 17 interval interval NOUN iajs-2617 31 18 [ [ X iajs-2617 31 19 ๐‘ก ๐‘ก X iajs-2617 31 20 , , PUNCT iajs-2617 31 21 ๐‘ก ๐‘ก X iajs-2617 31 22 + + PROPN iajs-2617 31 23 โˆ†๐‘ก โˆ†๐‘ก PROPN iajs-2617 31 24 ] ] PUNCT iajs-2617 31 25 when when SCONJ iajs-2617 31 26 we we PRON iajs-2617 31 27 know know VERB iajs-2617 31 28 that that SCONJ iajs-2617 31 29 the the DET iajs-2617 31 30 item item NOUN iajs-2617 31 31 is be AUX iajs-2617 31 32 functioning function VERB iajs-2617 31 33 at at ADP iajs-2617 31 34 time time NOUN iajs-2617 31 35 t t PROPN iajs-2617 31 36 is be AUX iajs-2617 31 37 ๐‘ƒ(๐‘ก ๐‘ƒ(๐‘ก X iajs-2617 31 38 < < X iajs-2617 31 39 ๐‘‡ ๐‘‡ PROPN iajs-2617 31 40 โ‰ค โ‰ค NUM iajs-2617 31 41 ๐‘ก ๐‘ก PROPN iajs-2617 31 42 + + PROPN iajs-2617 31 43 โˆ†๐‘ก โˆ†๐‘ก PROPN iajs-2617 31 44 ๐‘‡โ„ ๐‘‡โ„ PROPN iajs-2617 31 45 > > SYM iajs-2617 31 46 ๐‘ก ๐‘ก PROPN iajs-2617 31 47 ) ) PUNCT iajs-2617 31 48 = = SYM iajs-2617 31 49 ๐‘ƒ(๐‘ก<๐‘‡โ‰ค๐‘ก+โˆ†๐‘ก ๐‘ƒ(๐‘ก<๐‘‡โ‰ค๐‘ก+โˆ†๐‘ก PROPN iajs-2617 31 50 ) ) PUNCT iajs-2617 31 51 ๐‘ƒ(๐‘‡>๐‘ก ๐‘ƒ(๐‘‡>๐‘ก ADJ iajs-2617 31 52 ) ) PUNCT iajs-2617 31 53 = = NUM iajs-2617 31 54 ๐น(๐‘ก+โˆ†๐‘ก)โˆ’๐น(๐‘ก ๐น(๐‘ก+โˆ†๐‘ก)โˆ’๐น(๐‘ก NOUN iajs-2617 31 55 ) ) PUNCT iajs-2617 31 56 ) ) PUNCT iajs-2617 31 57 ๐‘†(๐‘ก ๐‘†(๐‘ก NUM iajs-2617 31 58 ) ) PUNCT iajs-2617 31 59 ( ( PUNCT iajs-2617 31 60 6 6 NUM iajs-2617 31 61 ) ) PUNCT iajs-2617 31 62 by by ADP iajs-2617 31 63 dividing divide VERB iajs-2617 31 64 this this DET iajs-2617 31 65 probability probability NOUN iajs-2617 31 66 by by ADP iajs-2617 31 67 the the DET iajs-2617 31 68 length length NOUN iajs-2617 31 69 of of ADP iajs-2617 31 70 the the DET iajs-2617 31 71 time time NOUN iajs-2617 31 72 interval interval NOUN iajs-2617 31 73 , , PUNCT iajs-2617 31 74 โˆ†๐‘ก โˆ†๐‘ก PROPN iajs-2617 31 75 , , PUNCT iajs-2617 31 76 and and CCONJ iajs-2617 31 77 letting let VERB iajs-2617 31 78 โˆ†๐‘ก โˆ†๐‘ก PROPN iajs-2617 31 79 โ†’ โ†’ SYM iajs-2617 31 80 0 0 NUM iajs-2617 31 81 , , PUNCT iajs-2617 31 82 we we PRON iajs-2617 31 83 get get VERB iajs-2617 31 84 the the DET iajs-2617 31 85 rate rate NOUN iajs-2617 31 86 function function NOUN iajs-2617 31 87 ( ( PUNCT iajs-2617 31 88 โ„Ž(๐‘ก โ„Ž(๐‘ก PROPN iajs-2617 31 89 ) ) PUNCT iajs-2617 31 90 ) ) PUNCT iajs-2617 31 91 , , PUNCT iajs-2617 31 92 and and CCONJ iajs-2617 31 93 it it PRON iajs-2617 31 94 is be AUX iajs-2617 31 95 defined define VERB iajs-2617 31 96 as as ADP iajs-2617 31 97 : : PUNCT iajs-2617 31 98 โ„Ž(๐‘ก โ„Ž(๐‘ก X iajs-2617 31 99 ) ) PUNCT iajs-2617 32 1 = = VERB iajs-2617 32 2 lim lim PROPN iajs-2617 32 3 โˆ†๐‘กโ†’0 โˆ†๐‘กโ†’0 ADJ iajs-2617 32 4 ๐น(๐‘ก+โˆ†๐‘ก)โˆ’๐น(๐‘ก ๐น(๐‘ก+โˆ†๐‘ก)โˆ’๐น(๐‘ก NOUN iajs-2617 32 5 ) ) PUNCT iajs-2617 32 6 ๐‘†(๐‘ก ๐‘†(๐‘ก NUM iajs-2617 32 7 ) ) PUNCT iajs-2617 32 8 โ„Ž(๐‘ก โ„Ž(๐‘ก PROPN iajs-2617 32 9 ) ) PUNCT iajs-2617 32 10 = = PUNCT iajs-2617 33 1 ๐‘‘๐น(๐‘ก ๐‘‘๐น(๐‘ก NOUN iajs-2617 33 2 ) ) PUNCT iajs-2617 33 3 ๐‘‘๐‘ก ๐‘‘๐‘ก ADP iajs-2617 33 4 1 1 NUM iajs-2617 33 5 ๐‘†(๐‘ก ๐‘†(๐‘ก ADJ iajs-2617 33 6 ) ) PUNCT iajs-2617 33 7 โ„Ž(๐‘ก โ„Ž(๐‘ก PROPN iajs-2617 33 8 ) ) PUNCT iajs-2617 33 9 = = SYM iajs-2617 34 1 ๐‘“(๐‘ก ๐‘“(๐‘ก VERB iajs-2617 34 2 ) ) PUNCT iajs-2617 34 3 ๐‘†(๐‘ก ๐‘†(๐‘ก NUM iajs-2617 34 4 ) ) PUNCT iajs-2617 34 5 ( ( PUNCT iajs-2617 34 6 7 7 NUM iajs-2617 34 7 ) ) PUNCT iajs-2617 34 8 where where SCONJ iajs-2617 34 9 ๐‘“(๐‘ก ๐‘“(๐‘ก NOUN iajs-2617 34 10 ) ) PUNCT iajs-2617 34 11 ๐‘–๐‘  ๐‘–๐‘  ADP iajs-2617 34 12 the the DET iajs-2617 34 13 failure failure NOUN iajs-2617 34 14 density density NOUN iajs-2617 34 15 functions function NOUN iajs-2617 34 16 , , PUNCT iajs-2617 34 17 and and CCONJ iajs-2617 34 18 ๐‘†(๐‘ก ๐‘†(๐‘ก ADJ iajs-2617 34 19 ) ) PUNCT iajs-2617 34 20 is be AUX iajs-2617 34 21 the the DET iajs-2617 34 22 survival survival NOUN iajs-2617 34 23 function function NOUN iajs-2617 34 24 . . PUNCT iajs-2617 35 1 then then ADV iajs-2617 35 2 , , PUNCT iajs-2617 35 3 ๐ป(๐‘ก ๐ป(๐‘ก NOUN iajs-2617 35 4 ) ) PUNCT iajs-2617 35 5 = = SYM iajs-2617 35 6 โˆ’๐‘‘๐‘™๐‘›๐‘†(๐‘ก โˆ’๐‘‘๐‘™๐‘›๐‘†(๐‘ก NOUN iajs-2617 35 7 ) ) PUNCT iajs-2617 35 8 ๐‘‘๐‘ก ๐‘‘๐‘ก ADP iajs-2617 35 9 ( ( PUNCT iajs-2617 35 10 8) 8) NUM iajs-2617 35 11 ๐‘†(๐‘ก ๐‘†(๐‘ก ADJ iajs-2617 35 12 ) ) PUNCT iajs-2617 35 13 = = SYM iajs-2617 35 14 exp exp NOUN iajs-2617 35 15 ( ( PUNCT iajs-2617 35 16 โˆ’ โˆ’ PROPN iajs-2617 35 17 โˆซ โˆซ PROPN iajs-2617 35 18 โ„Ž(๐‘ )๐‘‘๐‘  โ„Ž(๐‘ )๐‘‘๐‘  NUM iajs-2617 35 19 ) ) PUNCT iajs-2617 35 20 ๐‘ก ๐‘ก NOUN iajs-2617 35 21 0 0 NUM iajs-2617 36 1 so so ADV iajs-2617 36 2 hazard hazard NOUN iajs-2617 36 3 is be AUX iajs-2617 36 4 instantaneous instantaneous ADJ iajs-2617 36 5 mortality mortality NOUN iajs-2617 36 6 rate rate NOUN iajs-2617 36 7 conditional conditional ADJ iajs-2617 36 8 on on ADP iajs-2617 36 9 previous previous ADJ iajs-2617 36 10 survival survival NOUN iajs-2617 36 11 , , PUNCT iajs-2617 36 12 and and CCONJ iajs-2617 36 13 the the DET iajs-2617 36 14 integrated integrate VERB iajs-2617 36 15 form form NOUN iajs-2617 36 16 of of ADP iajs-2617 36 17 cumulative cumulative ADJ iajs-2617 36 18 hazard hazard NOUN iajs-2617 36 19 ๐ป(๐‘ก ๐ป(๐‘ก NOUN iajs-2617 36 20 ) ) PUNCT iajs-2617 36 21 = = SYM iajs-2617 37 1 โˆซ โˆซ PROPN iajs-2617 37 2 โ„Ž(๐‘ )๐‘‘๐‘  โ„Ž(๐‘ )๐‘‘๐‘  PROPN iajs-2617 37 3 ๐‘ก ๐‘ก PROPN iajs-2617 37 4 0 0 PUNCT iajs-2617 37 5 = = SYM iajs-2617 37 6 โˆ’ โˆ’ PROPN iajs-2617 37 7 ln ln ADJ iajs-2617 37 8 ๐‘†(๐‘ก ๐‘†(๐‘ก NOUN iajs-2617 37 9 ) ) PUNCT iajs-2617 37 10 ( ( PUNCT iajs-2617 37 11 9 9 NUM iajs-2617 37 12 ) ) SYM iajs-2617 37 13 3 3 NUM iajs-2617 37 14 . . PUNCT iajs-2617 37 15 parametric parametric ADJ iajs-2617 37 16 methods method NOUN iajs-2617 37 17 3.1 3.1 NUM iajs-2617 37 18 . . PUNCT iajs-2617 38 1 weibull weibull PROPN iajs-2617 38 2 distribution distribution NOUN iajs-2617 38 3 the the DET iajs-2617 38 4 weibull weibull NOUN iajs-2617 38 5 distribution distribution NOUN iajs-2617 38 6 is be AUX iajs-2617 38 7 continuous continuous ADJ iajs-2617 38 8 distribution distribution NOUN iajs-2617 38 9 . . PUNCT iajs-2617 39 1 it it PRON iajs-2617 39 2 is be AUX iajs-2617 39 3 one one NUM iajs-2617 39 4 of of ADP iajs-2617 39 5 the the DET iajs-2617 39 6 most most ADV iajs-2617 39 7 widely widely ADV iajs-2617 39 8 applied apply VERB iajs-2617 39 9 life life NOUN iajs-2617 39 10 distributions distribution NOUN iajs-2617 39 11 in in ADP iajs-2617 39 12 reliability reliability NOUN iajs-2617 39 13 analysis analysis NOUN iajs-2617 39 14 [ [ X iajs-2617 39 15 9 9 NUM iajs-2617 39 16 ] ] PUNCT iajs-2617 39 17 and and CCONJ iajs-2617 39 18 [ [ X iajs-2617 39 19 10 10 NUM iajs-2617 39 20 ] ] PUNCT iajs-2617 39 21 . . PUNCT iajs-2617 40 1 the the DET iajs-2617 40 2 probability probability NOUN iajs-2617 40 3 density density NOUN iajs-2617 40 4 function function NOUN iajs-2617 40 5 is be AUX iajs-2617 40 6 : : PUNCT iajs-2617 40 7 ๐‘“(๐‘ก ๐‘“(๐‘ก PROPN iajs-2617 40 8 ) ) PUNCT iajs-2617 40 9 = = PRON iajs-2617 40 10 { { PUNCT iajs-2617 40 11 ๐›ผ ๐›ผ NOUN iajs-2617 40 12 ๐œ† ๐œ† X iajs-2617 40 13 ( ( PUNCT iajs-2617 40 14 ๐‘ก ๐‘ก PROPN iajs-2617 40 15 ๐œ† ๐œ† NOUN iajs-2617 40 16 ) ) PUNCT iajs-2617 40 17 ๐›ผโˆ’1๐‘’โˆ’ ๐›ผโˆ’1๐‘’โˆ’ PROPN iajs-2617 40 18 ( ( PUNCT iajs-2617 40 19 ๐‘ก ๐‘ก PROPN iajs-2617 40 20 ๐œ† ๐œ† X iajs-2617 40 21 ) ) PUNCT iajs-2617 40 22 ๐›ผ ๐›ผ X iajs-2617 40 23 ๐‘ก ๐‘ก X iajs-2617 40 24 > > X iajs-2617 40 25 0 0 NUM iajs-2617 40 26 0 0 NUM iajs-2617 40 27 ๐‘’๐‘™๐‘ ๐‘’๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘’๐‘™๐‘ ๐‘’๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ NOUN iajs-2617 40 28 ( ( PUNCT iajs-2617 40 29 10 10 NUM iajs-2617 40 30 ) ) SYM iajs-2617 40 31 111 111 NUM iajs-2617 40 32 ibn ibn PROPN iajs-2617 40 33 al al PROPN iajs-2617 40 34 - - PUNCT iajs-2617 40 35 haitham haitham PROPN iajs-2617 40 36 jour jour X iajs-2617 40 37 . . PROPN iajs-2617 41 1 for for ADP iajs-2617 41 2 pure pure ADJ iajs-2617 41 3 & & CCONJ iajs-2617 41 4 appl appl PROPN iajs-2617 41 5 . . PUNCT iajs-2617 42 1 sci sci PROPN iajs-2617 42 2 . . PROPN iajs-2617 43 1 34 34 NUM iajs-2617 43 2 ( ( PUNCT iajs-2617 43 3 2 2 NUM iajs-2617 43 4 ) ) PUNCT iajs-2617 43 5 2021 2021 NUM iajs-2617 43 6 where where SCONJ iajs-2617 43 7 ( ( PUNCT iajs-2617 43 8 ๐›ผ ๐›ผ X iajs-2617 43 9 > > X iajs-2617 43 10 0 0 NUM iajs-2617 43 11 ) ) PUNCT iajs-2617 43 12 is be AUX iajs-2617 43 13 shape shape NOUN iajs-2617 43 14 parameter parameter NOUN iajs-2617 43 15 and and CCONJ iajs-2617 43 16 ( ( PUNCT iajs-2617 43 17 ๐œ† ๐œ† ADP iajs-2617 43 18 > > X iajs-2617 43 19 0 0 NUM iajs-2617 43 20 ) ) PUNCT iajs-2617 44 1 is be AUX iajs-2617 44 2 the the DET iajs-2617 44 3 scale scale NOUN iajs-2617 44 4 parameter parameter NOUN iajs-2617 44 5 of of ADP iajs-2617 44 6 the the DET iajs-2617 44 7 distribution distribution NOUN iajs-2617 44 8 . . PUNCT iajs-2617 45 1 the the DET iajs-2617 45 2 mean mean NOUN iajs-2617 45 3 and and CCONJ iajs-2617 45 4 variance variance NOUN iajs-2617 45 5 of of ADP iajs-2617 45 6 weibull weibull NOUN iajs-2617 45 7 distribution distribution NOUN iajs-2617 45 8 are be AUX iajs-2617 45 9 respectively respectively ADV iajs-2617 45 10 : : PUNCT iajs-2617 45 11 ๐ธ(๐‘ก ๐ธ(๐‘ก NUM iajs-2617 45 12 ) ) PUNCT iajs-2617 45 13 = = SYM iajs-2617 46 1 ๐œ†ฮณ(1 ๐œ†ฮณ(1 NOUN iajs-2617 46 2 + + CCONJ iajs-2617 46 3 1 1 NUM iajs-2617 46 4 ๐›ผ ๐›ผ NOUN iajs-2617 46 5 ) ) PUNCT iajs-2617 46 6 ( ( PUNCT iajs-2617 46 7 11 11 NUM iajs-2617 46 8 ) ) PUNCT iajs-2617 46 9 ๐‘‰(๐‘ก ๐‘‰(๐‘ก ADP iajs-2617 46 10 ) ) PUNCT iajs-2617 46 11 = = SYM iajs-2617 46 12 ๐œ†2[ฮณ ๐œ†2[ฮณ NOUN iajs-2617 46 13 ( ( PUNCT iajs-2617 46 14 1 1 NUM iajs-2617 46 15 + + NUM iajs-2617 46 16 1 1 NUM iajs-2617 46 17 ๐›ผ ๐›ผ NOUN iajs-2617 46 18 ) ) PUNCT iajs-2617 46 19 โˆ’ โˆ’ PROPN iajs-2617 46 20 ฮณ2(1 ฮณ2(1 NOUN iajs-2617 46 21 + + CCONJ iajs-2617 46 22 1 1 NUM iajs-2617 46 23 ๐›ผ ๐›ผ NOUN iajs-2617 46 24 ) ) PUNCT iajs-2617 46 25 ( ( PUNCT iajs-2617 46 26 12 12 NUM iajs-2617 46 27 ) ) PUNCT iajs-2617 46 28 the the DET iajs-2617 46 29 cumulative cumulative ADJ iajs-2617 46 30 distribution distribution NOUN iajs-2617 46 31 function function NOUN iajs-2617 46 32 is be AUX iajs-2617 46 33 defined define VERB iajs-2617 46 34 as as ADP iajs-2617 46 35 : : PUNCT iajs-2617 46 36 ๐น(๐‘ก ๐น(๐‘ก NUM iajs-2617 46 37 ) ) PUNCT iajs-2617 46 38 = = SYM iajs-2617 47 1 1 1 NUM iajs-2617 47 2 โˆ’ โˆ’ NOUN iajs-2617 47 3 ๐‘’โˆ’ ๐‘’โˆ’ PROPN iajs-2617 47 4 ( ( PUNCT iajs-2617 47 5 ๐‘ก ๐‘ก PROPN iajs-2617 47 6 ๐œ† ๐œ† X iajs-2617 47 7 ) ) PUNCT iajs-2617 47 8 ๐›ผ ๐›ผ NOUN iajs-2617 47 9 , , PUNCT iajs-2617 47 10 ๐‘ก ๐‘ก X iajs-2617 47 11 > > X iajs-2617 47 12 0 0 PUNCT iajs-2617 47 13 ( ( PUNCT iajs-2617 47 14 13 13 NUM iajs-2617 47 15 ) ) PUNCT iajs-2617 47 16 the the DET iajs-2617 47 17 survival survival NOUN iajs-2617 47 18 function function NOUN iajs-2617 47 19 is be AUX iajs-2617 47 20 defined define VERB iajs-2617 47 21 as as ADP iajs-2617 47 22 : : PUNCT iajs-2617 47 23 ๐‘†(๐‘ก ๐‘†(๐‘ก ADJ iajs-2617 47 24 ) ) PUNCT iajs-2617 47 25 = = PUNCT iajs-2617 48 1 ๐‘’โˆ’ ๐‘’โˆ’ PROPN iajs-2617 48 2 ( ( PUNCT iajs-2617 48 3 ๐‘ก ๐‘ก PROPN iajs-2617 48 4 ๐œ† ๐œ† X iajs-2617 48 5 ) ) PUNCT iajs-2617 48 6 ๐›ผ ๐›ผ PROPN iajs-2617 48 7 ( ( PUNCT iajs-2617 48 8 14 14 NUM iajs-2617 48 9 ) ) PUNCT iajs-2617 48 10 the the DET iajs-2617 48 11 failure failure NOUN iajs-2617 48 12 rate rate NOUN iajs-2617 48 13 ( ( PUNCT iajs-2617 48 14 or or CCONJ iajs-2617 48 15 hazard hazard NOUN iajs-2617 48 16 rate rate NOUN iajs-2617 48 17 ) ) PUNCT iajs-2617 48 18 function function NOUN iajs-2617 48 19 is be AUX iajs-2617 48 20 given give VERB iajs-2617 48 21 by by ADP iajs-2617 48 22 : : PUNCT iajs-2617 48 23 โ„Ž(๐‘ก โ„Ž(๐‘ก PROPN iajs-2617 48 24 ) ) PUNCT iajs-2617 48 25 = = PUNCT iajs-2617 49 1 ๐›ผ ๐›ผ X iajs-2617 49 2 ๐œ† ๐œ† X iajs-2617 49 3 ( ( PUNCT iajs-2617 49 4 ๐‘ก ๐‘ก PROPN iajs-2617 49 5 ๐œ† ๐œ† X iajs-2617 49 6 ) ) PUNCT iajs-2617 49 7 ๐›ผโˆ’1 ๐›ผโˆ’1 NUM iajs-2617 49 8 = = NOUN iajs-2617 49 9 ๐›ผ๐œ†โˆ’๐›ผ๐‘ก๐›ผโˆ’1 ๐›ผ๐œ†โˆ’๐›ผ๐‘ก๐›ผโˆ’1 NOUN iajs-2617 49 10 ( ( PUNCT iajs-2617 49 11 15 15 NUM iajs-2617 49 12 ) ) PUNCT iajs-2617 49 13 3.2 3.2 NUM iajs-2617 49 14 . . PUNCT iajs-2617 50 1 gumbel gumbel NOUN iajs-2617 50 2 distribution distribution NOUN iajs-2617 50 3 gumbel gumbel PROPN iajs-2617 50 4 ( ( PUNCT iajs-2617 50 5 1958 1958 NUM iajs-2617 50 6 ) ) PUNCT iajs-2617 50 7 denotes denote VERB iajs-2617 50 8 this this DET iajs-2617 50 9 distribution distribution NOUN iajs-2617 50 10 of of ADP iajs-2617 50 11 the the DET iajs-2617 50 12 type type NOUN iajs-2617 50 13 i i PRON iajs-2617 50 14 distribution distribution NOUN iajs-2617 50 15 of of ADP iajs-2617 50 16 the the DET iajs-2617 50 17 smallest small ADJ iajs-2617 50 18 extreme extreme NOUN iajs-2617 50 19 , , PUNCT iajs-2617 50 20 called call VERB iajs-2617 50 21 the the DET iajs-2617 50 22 gumbel gumbel NOUN iajs-2617 50 23 distribution distribution NOUN iajs-2617 50 24 of of ADP iajs-2617 50 25 the the DET iajs-2617 50 26 smallest small ADJ iajs-2617 50 27 extreme extreme NOUN iajs-2617 51 1 [ [ X iajs-2617 51 2 8 8 NUM iajs-2617 51 3 ] ] PUNCT iajs-2617 51 4 . . PUNCT iajs-2617 52 1 the the DET iajs-2617 52 2 gumbel gumbel PROPN iajs-2617 52 3 distribution distribution NOUN iajs-2617 52 4 is be AUX iajs-2617 52 5 a a DET iajs-2617 52 6 very very ADV iajs-2617 52 7 common common ADJ iajs-2617 52 8 distribution distribution NOUN iajs-2617 52 9 due due ADP iajs-2617 52 10 to to ADP iajs-2617 52 11 its its PRON iajs-2617 52 12 global global ADJ iajs-2617 52 13 applicability applicability NOUN iajs-2617 52 14 in in ADP iajs-2617 52 15 several several ADJ iajs-2617 52 16 fields field NOUN iajs-2617 52 17 and and CCONJ iajs-2617 52 18 its its PRON iajs-2617 52 19 wide wide ADJ iajs-2617 52 20 applications application NOUN iajs-2617 52 21 [ [ X iajs-2617 52 22 11 11 NUM iajs-2617 52 23 ] ] PUNCT iajs-2617 52 24 and and CCONJ iajs-2617 52 25 [ [ X iajs-2617 52 26 13 13 NUM iajs-2617 52 27 ] ] PUNCT iajs-2617 52 28 . . PUNCT iajs-2617 53 1 the the DET iajs-2617 53 2 probability probability NOUN iajs-2617 53 3 density density NOUN iajs-2617 53 4 function function NOUN iajs-2617 53 5 is be AUX iajs-2617 53 6 : : PUNCT iajs-2617 53 7 ๐‘“(๐‘ก ๐‘“(๐‘ก PROPN iajs-2617 53 8 ) ) PUNCT iajs-2617 53 9 = = PRON iajs-2617 53 10 { { PUNCT iajs-2617 53 11 1 1 NUM iajs-2617 53 12 ๐›ฝ ๐›ฝ NOUN iajs-2617 53 13 exp exp NOUN iajs-2617 53 14 [ [ X iajs-2617 53 15 โˆ’(๐‘ง โˆ’(๐‘ง ADJ iajs-2617 53 16 + + CCONJ iajs-2617 53 17 exp(โˆ’๐‘ง exp(โˆ’๐‘ง PROPN iajs-2617 53 18 ) ) PUNCT iajs-2617 53 19 ) ) PUNCT iajs-2617 53 20 ] ] PUNCT iajs-2617 54 1 โˆ’โˆž โˆ’โˆž ADP iajs-2617 54 2 < < X iajs-2617 54 3 ๐‘ก ๐‘ก X iajs-2617 54 4 < < X iajs-2617 54 5 โˆž โˆž NUM iajs-2617 54 6 0 0 SYM iajs-2617 54 7 ๐‘’๐‘™๐‘ ๐‘’๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘’๐‘™๐‘ ๐‘’๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ NOUN iajs-2617 54 8 ( ( PUNCT iajs-2617 54 9 16 16 NUM iajs-2617 54 10 ) ) PUNCT iajs-2617 54 11 where where SCONJ iajs-2617 54 12 ๐‘ง ๐‘ง NOUN iajs-2617 54 13 = = SYM iajs-2617 54 14 ๐‘กโˆ’๐œ‡ ๐‘กโˆ’๐œ‡ PROPN iajs-2617 54 15 ๐›ฝ ๐›ฝ PROPN iajs-2617 54 16 , , PUNCT iajs-2617 54 17 ๐œ‡ ๐œ‡ X iajs-2617 54 18 is be AUX iajs-2617 54 19 the the DET iajs-2617 54 20 location location NOUN iajs-2617 54 21 parameter parameter NOUN iajs-2617 54 22 , , PUNCT iajs-2617 54 23 and and CCONJ iajs-2617 54 24 ๐›ฝ ๐›ฝ NOUN iajs-2617 54 25 is be AUX iajs-2617 54 26 the the DET iajs-2617 54 27 scale scale NOUN iajs-2617 54 28 parameter parameter NOUN iajs-2617 54 29 of of ADP iajs-2617 54 30 the the DET iajs-2617 54 31 distribution distribution NOUN iajs-2617 54 32 . . PUNCT iajs-2617 55 1 the the DET iajs-2617 55 2 mean mean NOUN iajs-2617 55 3 and and CCONJ iajs-2617 55 4 variance variance NOUN iajs-2617 55 5 of of ADP iajs-2617 55 6 ๐‘Š๐‘’๐‘–๐‘๐‘ข๐‘™๐‘™ ๐‘Š๐‘’๐‘–๐‘๐‘ข๐‘™๐‘™ PROPN iajs-2617 55 7 distribution distribution NOUN iajs-2617 55 8 are be AUX iajs-2617 55 9 respectively respectively ADV iajs-2617 55 10 : : PUNCT iajs-2617 55 11 ๐ธ(๐‘ก ๐ธ(๐‘ก NUM iajs-2617 55 12 ) ) PUNCT iajs-2617 55 13 = = SYM iajs-2617 55 14 ๐œ‡ ๐œ‡ ADP iajs-2617 55 15 + + X iajs-2617 55 16 ๐›ฝ๐›พ ๐›ฝ๐›พ NOUN iajs-2617 55 17 , , PUNCT iajs-2617 55 18 ( ( PUNCT iajs-2617 55 19 17 17 NUM iajs-2617 55 20 ) ) PUNCT iajs-2617 55 21 ๐›พ ๐›พ PROPN iajs-2617 55 22 is be AUX iajs-2617 55 23 euler euler NOUN iajs-2617 55 24 's 's PART iajs-2617 55 25 constant constant ADJ iajs-2617 55 26 ( ( PUNCT iajs-2617 55 27 0.577215 0.577215 NUM iajs-2617 55 28 ) ) PUNCT iajs-2617 55 29 ๐‘‰(๐‘ก ๐‘‰(๐‘ก ADP iajs-2617 55 30 ) ) PUNCT iajs-2617 55 31 = = SYM iajs-2617 55 32 ( ( PUNCT iajs-2617 55 33 ๐›ฝ๐œ‹)2/6 ๐›ฝ๐œ‹)2/6 PROPN iajs-2617 55 34 ( ( PUNCT iajs-2617 55 35 18 18 NUM iajs-2617 55 36 ) ) PUNCT iajs-2617 55 37 the the DET iajs-2617 55 38 cumulative cumulative ADJ iajs-2617 55 39 distribution distribution NOUN iajs-2617 55 40 function function NOUN iajs-2617 55 41 is be AUX iajs-2617 55 42 defined define VERB iajs-2617 55 43 as as ADP iajs-2617 55 44 : : PUNCT iajs-2617 55 45 ๐น(๐‘ก ๐น(๐‘ก NUM iajs-2617 55 46 ) ) PUNCT iajs-2617 55 47 = = SYM iajs-2617 55 48 1 1 NUM iajs-2617 55 49 โˆ’ โˆ’ PROPN iajs-2617 55 50 exp[โˆ’ exp[โˆ’ X iajs-2617 55 51 exp(โˆ’๐‘ง exp(โˆ’๐‘ง PROPN iajs-2617 55 52 ) ) PUNCT iajs-2617 55 53 ] ] PUNCT iajs-2617 55 54 , , PUNCT iajs-2617 55 55 โˆ’โˆž โˆ’โˆž X iajs-2617 55 56 < < X iajs-2617 55 57 ๐‘ก ๐‘ก X iajs-2617 55 58 < < X iajs-2617 55 59 โˆž โˆž PROPN iajs-2617 55 60 ( ( PUNCT iajs-2617 55 61 19 19 NUM iajs-2617 55 62 ) ) PUNCT iajs-2617 55 63 the the DET iajs-2617 55 64 survival survival NOUN iajs-2617 55 65 function function NOUN iajs-2617 55 66 is be AUX iajs-2617 55 67 defined define VERB iajs-2617 55 68 as as ADP iajs-2617 55 69 : : PUNCT iajs-2617 55 70 ๐‘†(๐‘ก ๐‘†(๐‘ก ADJ iajs-2617 55 71 ) ) PUNCT iajs-2617 55 72 = = SYM iajs-2617 55 73 exp exp NOUN iajs-2617 56 1 [ [ X iajs-2617 56 2 โˆ’ โˆ’ X iajs-2617 56 3 exp(โˆ’๐‘ง exp(โˆ’๐‘ง PROPN iajs-2617 56 4 ) ) PUNCT iajs-2617 56 5 ] ] PUNCT iajs-2617 56 6 ( ( PUNCT iajs-2617 56 7 20 20 X iajs-2617 56 8 ) ) PUNCT iajs-2617 56 9 the the DET iajs-2617 56 10 failure failure NOUN iajs-2617 56 11 rate rate NOUN iajs-2617 56 12 ( ( PUNCT iajs-2617 56 13 or or CCONJ iajs-2617 56 14 hazard hazard NOUN iajs-2617 56 15 rate rate NOUN iajs-2617 56 16 ) ) PUNCT iajs-2617 56 17 function function NOUN iajs-2617 56 18 is be AUX iajs-2617 56 19 given give VERB iajs-2617 56 20 by by ADP iajs-2617 56 21 : : PUNCT iajs-2617 56 22 โ„Ž(๐‘ก โ„Ž(๐‘ก PROPN iajs-2617 56 23 ) ) PUNCT iajs-2617 56 24 = = SYM iajs-2617 56 25 1 1 NUM iajs-2617 56 26 ๐›ฝ ๐›ฝ NOUN iajs-2617 56 27 exp exp NOUN iajs-2617 56 28 [ [ X iajs-2617 56 29 โˆ’(๐‘ง+exp(โˆ’๐‘ง โˆ’(๐‘ง+exp(โˆ’๐‘ง X iajs-2617 56 30 ) ) PUNCT iajs-2617 56 31 ) ) PUNCT iajs-2617 56 32 ] ] PUNCT iajs-2617 56 33 exp exp NOUN iajs-2617 57 1 [ [ X iajs-2617 57 2 โˆ’ โˆ’ X iajs-2617 57 3 exp(โˆ’๐‘ง exp(โˆ’๐‘ง PROPN iajs-2617 57 4 ) ) PUNCT iajs-2617 57 5 ] ] PUNCT iajs-2617 57 6 ( ( PUNCT iajs-2617 57 7 21 21 NUM iajs-2617 57 8 ) ) PUNCT iajs-2617 57 9 112 112 NUM iajs-2617 57 10 ibn ibn PROPN iajs-2617 57 11 al al PROPN iajs-2617 57 12 - - PUNCT iajs-2617 57 13 haitham haitham PROPN iajs-2617 57 14 jour jour X iajs-2617 57 15 . . PROPN iajs-2617 58 1 for for ADP iajs-2617 58 2 pure pure ADJ iajs-2617 58 3 & & CCONJ iajs-2617 58 4 appl appl PROPN iajs-2617 58 5 . . PUNCT iajs-2617 59 1 sci sci PROPN iajs-2617 59 2 . . PROPN iajs-2617 60 1 34 34 NUM iajs-2617 60 2 ( ( PUNCT iajs-2617 60 3 2 2 NUM iajs-2617 60 4 ) ) PUNCT iajs-2617 60 5 2021 2021 NUM iajs-2617 60 6 3.3.exponential 3.3.exponential NUM iajs-2617 60 7 distribution distribution NOUN iajs-2617 60 8 the the DET iajs-2617 60 9 exponential exponential ADJ iajs-2617 60 10 distribution distribution NOUN iajs-2617 60 11 is be AUX iajs-2617 60 12 a a DET iajs-2617 60 13 special special ADJ iajs-2617 60 14 case case NOUN iajs-2617 60 15 of of ADP iajs-2617 60 16 twoparameter twoparameter ADJ iajs-2617 60 17 ๐‘Š๐‘’๐‘–๐‘๐‘ข๐‘™๐‘™ ๐‘Š๐‘’๐‘–๐‘๐‘ข๐‘™๐‘™ PROPN iajs-2617 60 18 distribution distribution NOUN iajs-2617 60 19 ( ( PUNCT iajs-2617 60 20 or or CCONJ iajs-2617 60 21 gamma gamma NOUN iajs-2617 60 22 distribution distribution NOUN iajs-2617 60 23 ) ) PUNCT iajs-2617 60 24 when when SCONJ iajs-2617 60 25 the the DET iajs-2617 60 26 shape shape NOUN iajs-2617 60 27 parameter parameter NOUN iajs-2617 60 28 is be AUX iajs-2617 60 29 ( ( PUNCT iajs-2617 60 30 ๐›ผ ๐›ผ X iajs-2617 60 31 = = NOUN iajs-2617 60 32 1 1 NUM iajs-2617 60 33 ) ) PUNCT iajs-2617 60 34 in in ADP iajs-2617 60 35 equation equation NOUN iajs-2617 60 36 10 10 NUM iajs-2617 60 37 , , PUNCT iajs-2617 60 38 then then ADV iajs-2617 60 39 the the DET iajs-2617 60 40 probability probability NOUN iajs-2617 60 41 density density NOUN iajs-2617 60 42 function function NOUN iajs-2617 60 43 is be AUX iajs-2617 60 44 [ [ X iajs-2617 60 45 11 11 NUM iajs-2617 60 46 ] ] SYM iajs-2617 60 47 : : PUNCT iajs-2617 60 48 ๐‘“(๐‘ก ๐‘“(๐‘ก PROPN iajs-2617 60 49 ) ) PUNCT iajs-2617 61 1 = = PRON iajs-2617 61 2 { { PUNCT iajs-2617 61 3 1 1 NUM iajs-2617 61 4 ๐œ† ๐œ† NOUN iajs-2617 61 5 ๐‘’โˆ’ ๐‘’โˆ’ X iajs-2617 61 6 ๐‘ก ๐‘ก VERB iajs-2617 61 7 ๐œ† ๐œ† X iajs-2617 61 8 ๐‘ก ๐‘ก X iajs-2617 61 9 > > X iajs-2617 61 10 0 0 NUM iajs-2617 61 11 0 0 NUM iajs-2617 61 12 ๐‘’๐‘™๐‘ ๐‘’๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘’๐‘™๐‘ ๐‘’๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ NOUN iajs-2617 61 13 ( ( PUNCT iajs-2617 61 14 22 22 NUM iajs-2617 61 15 ) ) PUNCT iajs-2617 61 16 where where SCONJ iajs-2617 61 17 ๐œ† ๐œ† PRON iajs-2617 61 18 > > X iajs-2617 61 19 0 0 NUM iajs-2617 61 20 is be AUX iajs-2617 61 21 the the DET iajs-2617 61 22 scale scale NOUN iajs-2617 61 23 parameter parameter NOUN iajs-2617 61 24 of of ADP iajs-2617 61 25 the the DET iajs-2617 61 26 distribution distribution NOUN iajs-2617 61 27 , , PUNCT iajs-2617 61 28 and and CCONJ iajs-2617 61 29 the the DET iajs-2617 61 30 mean mean NOUN iajs-2617 61 31 and and CCONJ iajs-2617 61 32 variance variance NOUN iajs-2617 61 33 of of ADP iajs-2617 61 34 exponential exponential ADJ iajs-2617 61 35 distribution distribution NOUN iajs-2617 61 36 are be AUX iajs-2617 61 37 respectively respectively ADV iajs-2617 61 38 : : PUNCT iajs-2617 61 39 ๐ธ(๐‘ก ๐ธ(๐‘ก NUM iajs-2617 61 40 ) ) PUNCT iajs-2617 61 41 = = SYM iajs-2617 61 42 ๐œ† ๐œ† X iajs-2617 61 43 ( ( PUNCT iajs-2617 61 44 23 23 NUM iajs-2617 61 45 ) ) PUNCT iajs-2617 61 46 ๐‘‰(๐‘ก ๐‘‰(๐‘ก ADP iajs-2617 61 47 ) ) PUNCT iajs-2617 61 48 = = SYM iajs-2617 61 49 ๐œ†2 ๐œ†2 NOUN iajs-2617 61 50 ( ( PUNCT iajs-2617 61 51 24 24 NUM iajs-2617 61 52 ) ) PUNCT iajs-2617 61 53 the the DET iajs-2617 61 54 cumulative cumulative ADJ iajs-2617 61 55 distribution distribution NOUN iajs-2617 61 56 function function NOUN iajs-2617 61 57 is be AUX iajs-2617 61 58 defined define VERB iajs-2617 61 59 as as ADP iajs-2617 61 60 : : PUNCT iajs-2617 61 61 ๐น(๐‘ก ๐น(๐‘ก NUM iajs-2617 61 62 ) ) PUNCT iajs-2617 61 63 = = SYM iajs-2617 62 1 1 1 NUM iajs-2617 62 2 โˆ’ โˆ’ NOUN iajs-2617 62 3 ๐‘’โˆ’ ๐‘’โˆ’ NOUN iajs-2617 62 4 ๐‘ก ๐‘ก VERB iajs-2617 62 5 ๐œ† ๐œ† NOUN iajs-2617 62 6 , , PUNCT iajs-2617 62 7 ๐‘ก ๐‘ก X iajs-2617 62 8 > > X iajs-2617 62 9 0 0 PUNCT iajs-2617 63 1 ( ( PUNCT iajs-2617 63 2 25 25 NUM iajs-2617 63 3 ) ) PUNCT iajs-2617 63 4 the the DET iajs-2617 63 5 survival survival NOUN iajs-2617 63 6 function function NOUN iajs-2617 63 7 is be AUX iajs-2617 63 8 defined define VERB iajs-2617 63 9 as as ADP iajs-2617 63 10 : : PUNCT iajs-2617 63 11 ๐‘†(๐‘ก ๐‘†(๐‘ก ADJ iajs-2617 63 12 ) ) PUNCT iajs-2617 63 13 = = PUNCT iajs-2617 63 14 ๐‘’โˆ’ ๐‘’โˆ’ X iajs-2617 63 15 ๐‘ก ๐‘ก X iajs-2617 63 16 ๐œ† ๐œ† X iajs-2617 63 17 ( ( PUNCT iajs-2617 63 18 26 26 NUM iajs-2617 63 19 ) ) PUNCT iajs-2617 63 20 the the DET iajs-2617 63 21 failure failure NOUN iajs-2617 63 22 rate rate NOUN iajs-2617 63 23 ( ( PUNCT iajs-2617 63 24 or or CCONJ iajs-2617 63 25 hazard hazard NOUN iajs-2617 63 26 rate rate NOUN iajs-2617 63 27 ) ) PUNCT iajs-2617 63 28 is be AUX iajs-2617 63 29 given give VERB iajs-2617 63 30 by by ADP iajs-2617 63 31 : : PUNCT iajs-2617 63 32 โ„Ž(๐‘ก โ„Ž(๐‘ก PROPN iajs-2617 63 33 ) ) PUNCT iajs-2617 63 34 = = PUNCT iajs-2617 64 1 1 1 NUM iajs-2617 64 2 ๐œ† ๐œ† NOUN iajs-2617 64 3 ( ( PUNCT iajs-2617 64 4 27 27 NUM iajs-2617 64 5 ) ) PUNCT iajs-2617 64 6 3.4 3.4 NUM iajs-2617 64 7 . . PUNCT iajs-2617 65 1 loglogistic loglogistic ADJ iajs-2617 65 2 distribution distribution NOUN iajs-2617 65 3 loglogistic loglogistic ADJ iajs-2617 65 4 distribution distribution NOUN iajs-2617 65 5 is be AUX iajs-2617 65 6 widely widely ADV iajs-2617 65 7 used use VERB iajs-2617 65 8 in in ADP iajs-2617 65 9 survival survival NOUN iajs-2617 65 10 analysis analysis NOUN iajs-2617 65 11 when when SCONJ iajs-2617 65 12 the the DET iajs-2617 65 13 failure failure NOUN iajs-2617 65 14 rate rate NOUN iajs-2617 65 15 function function NOUN iajs-2617 65 16 presents present VERB iajs-2617 65 17 an an DET iajs-2617 65 18 unmoral unmoral ADJ iajs-2617 65 19 shape shape NOUN iajs-2617 66 1 [ [ X iajs-2617 66 2 5 5 NUM iajs-2617 66 3 ] ] PUNCT iajs-2617 66 4 : : PUNCT iajs-2617 66 5 ๐‘“(๐‘ก ๐‘“(๐‘ก PROPN iajs-2617 66 6 ) ) PUNCT iajs-2617 66 7 = = PRON iajs-2617 66 8 { { PUNCT iajs-2617 66 9 ๐›ฝ ๐›ฝ NOUN iajs-2617 66 10 ๐›ผ ๐›ผ X iajs-2617 66 11 ( ( PUNCT iajs-2617 66 12 ๐‘ก ๐‘ก NOUN iajs-2617 66 13 ๐›ผ ๐›ผ NOUN iajs-2617 66 14 ) ) PUNCT iajs-2617 66 15 ๐›ฝโˆ’1[1 ๐›ฝโˆ’1[1 NOUN iajs-2617 67 1 + + CCONJ iajs-2617 67 2 ( ( PUNCT iajs-2617 67 3 ๐‘ก ๐‘ก X iajs-2617 67 4 ๐›ผ ๐›ผ X iajs-2617 67 5 ) ) PUNCT iajs-2617 67 6 ๐›ฝ]โˆ’2 ๐›ฝ]โˆ’2 X iajs-2617 67 7 ๐‘ก ๐‘ก X iajs-2617 67 8 > > X iajs-2617 67 9 0 0 NUM iajs-2617 67 10 0 0 NUM iajs-2617 67 11 ๐‘’๐‘™๐‘ ๐‘’๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘’๐‘™๐‘ ๐‘’๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ NOUN iajs-2617 67 12 ( ( PUNCT iajs-2617 67 13 28 28 NUM iajs-2617 67 14 ) ) PUNCT iajs-2617 67 15 where where SCONJ iajs-2617 67 16 ( ( PUNCT iajs-2617 67 17 ๐›ผ ๐›ผ X iajs-2617 67 18 > > X iajs-2617 67 19 0 0 NUM iajs-2617 67 20 ) ) PUNCT iajs-2617 67 21 is be AUX iajs-2617 67 22 scale scale NOUN iajs-2617 67 23 parameter parameter NOUN iajs-2617 67 24 and and CCONJ iajs-2617 67 25 ( ( PUNCT iajs-2617 67 26 ๐›ฝ ๐›ฝ NOUN iajs-2617 67 27 > > X iajs-2617 67 28 0 0 NUM iajs-2617 67 29 ) ) PUNCT iajs-2617 67 30 is be AUX iajs-2617 67 31 the the DET iajs-2617 67 32 shape shape NOUN iajs-2617 67 33 parameter parameter NOUN iajs-2617 67 34 of of ADP iajs-2617 67 35 the the DET iajs-2617 67 36 distribution distribution NOUN iajs-2617 67 37 . . PUNCT iajs-2617 68 1 the the DET iajs-2617 68 2 mean mean NOUN iajs-2617 68 3 and and CCONJ iajs-2617 68 4 variance variance NOUN iajs-2617 68 5 are be AUX iajs-2617 68 6 respectively respectively ADV iajs-2617 68 7 [ [ X iajs-2617 68 8 12 12 NUM iajs-2617 68 9 ] ] PUNCT iajs-2617 68 10 , , PUNCT iajs-2617 68 11 ๐ธ(๐‘ก ๐ธ(๐‘ก NUM iajs-2617 68 12 ) ) PUNCT iajs-2617 68 13 = = SYM iajs-2617 68 14 ๐œ‹๐›ผ๐›ฝโˆ’1 ๐œ‹๐›ผ๐›ฝโˆ’1 PROPN iajs-2617 68 15 sin(๐œ‹๐›ฝโˆ’1 sin(๐œ‹๐›ฝโˆ’1 PROPN iajs-2617 68 16 ) ) PUNCT iajs-2617 68 17 , , PUNCT iajs-2617 68 18 ๐›ฝ ๐›ฝ NOUN iajs-2617 68 19 > > X iajs-2617 68 20 0 0 PUNCT iajs-2617 68 21 ( ( PUNCT iajs-2617 68 22 29 29 NUM iajs-2617 68 23 ) ) PUNCT iajs-2617 68 24 and and CCONJ iajs-2617 68 25 ๐‘‰(๐‘ก ๐‘‰(๐‘ก ADP iajs-2617 68 26 ) ) PUNCT iajs-2617 68 27 = = SYM iajs-2617 68 28 2๐œ‹๐›ผ2๐›ฝโˆ’1 2๐œ‹๐›ผ2๐›ฝโˆ’1 NUM iajs-2617 68 29 sin(2๐œ‹๐›ฝโˆ’1 sin(2๐œ‹๐›ฝโˆ’1 NOUN iajs-2617 68 30 ) ) PUNCT iajs-2617 68 31 โˆ’ โˆ’ PROPN iajs-2617 69 1 [ [ PUNCT iajs-2617 69 2 ๐œ‹๐›ผ๐›ฝโˆ’1 ๐œ‹๐›ผ๐›ฝโˆ’1 PROPN iajs-2617 69 3 sin(๐œ‹๐›ฝโˆ’1 sin(๐œ‹๐›ฝโˆ’1 PROPN iajs-2617 69 4 ) ) PUNCT iajs-2617 69 5 ] ] PUNCT iajs-2617 69 6 2 2 NUM iajs-2617 69 7 , , PUNCT iajs-2617 69 8 ๐›ฝ ๐›ฝ NOUN iajs-2617 69 9 > > X iajs-2617 69 10 2 2 NUM iajs-2617 69 11 ( ( PUNCT iajs-2617 69 12 30 30 NUM iajs-2617 69 13 ) ) PUNCT iajs-2617 69 14 the the DET iajs-2617 69 15 cumulative cumulative ADJ iajs-2617 69 16 distribution distribution NOUN iajs-2617 69 17 function function NOUN iajs-2617 69 18 is be AUX iajs-2617 69 19 defined define VERB iajs-2617 69 20 as as ADP iajs-2617 69 21 : : PUNCT iajs-2617 69 22 ๐น(๐‘ก ๐น(๐‘ก NUM iajs-2617 69 23 ) ) PUNCT iajs-2617 69 24 = = SYM iajs-2617 70 1 1 1 NUM iajs-2617 70 2 โˆ’ โˆ’ NOUN iajs-2617 71 1 [ [ X iajs-2617 71 2 1 1 NUM iajs-2617 71 3 + + CCONJ iajs-2617 71 4 ( ( PUNCT iajs-2617 71 5 ๐‘ก ๐‘ก X iajs-2617 71 6 ๐›ผ ๐›ผ NOUN iajs-2617 71 7 ) ) PUNCT iajs-2617 71 8 ๐›ฝ]โˆ’1 ๐›ฝ]โˆ’1 X iajs-2617 71 9 ( ( PUNCT iajs-2617 71 10 31 31 NUM iajs-2617 71 11 ) ) PUNCT iajs-2617 71 12 also also ADV iajs-2617 71 13 the the DET iajs-2617 71 14 survival survival NOUN iajs-2617 71 15 function function NOUN iajs-2617 71 16 is be AUX iajs-2617 71 17 defined define VERB iajs-2617 71 18 as as ADP iajs-2617 71 19 : : PUNCT iajs-2617 71 20 113 113 NUM iajs-2617 71 21 ibn ibn PROPN iajs-2617 71 22 al al PROPN iajs-2617 71 23 - - PUNCT iajs-2617 71 24 haitham haitham PROPN iajs-2617 71 25 jour jour X iajs-2617 71 26 . . PROPN iajs-2617 71 27 for for ADP iajs-2617 71 28 pure pure ADJ iajs-2617 71 29 & & CCONJ iajs-2617 71 30 appl appl PROPN iajs-2617 71 31 . . PUNCT iajs-2617 72 1 sci sci PROPN iajs-2617 72 2 . . PROPN iajs-2617 73 1 34 34 NUM iajs-2617 73 2 ( ( PUNCT iajs-2617 73 3 2 2 NUM iajs-2617 73 4 ) ) PUNCT iajs-2617 73 5 2021 2021 NUM iajs-2617 73 6 ๐‘†(๐‘ก ๐‘†(๐‘ก ADJ iajs-2617 73 7 ) ) PUNCT iajs-2617 73 8 = = PUNCT iajs-2617 74 1 [ [ X iajs-2617 74 2 1 1 NUM iajs-2617 74 3 + + CCONJ iajs-2617 74 4 ( ( PUNCT iajs-2617 74 5 ๐‘ก ๐‘ก X iajs-2617 74 6 ๐›ผ ๐›ผ NOUN iajs-2617 74 7 ) ) PUNCT iajs-2617 74 8 ๐›ฝ]โˆ’1 ๐›ฝ]โˆ’1 X iajs-2617 74 9 ( ( PUNCT iajs-2617 74 10 32 32 NUM iajs-2617 74 11 ) ) PUNCT iajs-2617 74 12 the the DET iajs-2617 74 13 hazard hazard NOUN iajs-2617 74 14 function function NOUN iajs-2617 74 15 is be AUX iajs-2617 74 16 given give VERB iajs-2617 74 17 by by ADP iajs-2617 74 18 : : PUNCT iajs-2617 74 19 โ„Ž(๐‘ก โ„Ž(๐‘ก PROPN iajs-2617 74 20 ) ) PUNCT iajs-2617 75 1 = = PUNCT iajs-2617 76 1 ๐›ฝ ๐›ฝ NOUN iajs-2617 76 2 ๐›ผ ๐›ผ X iajs-2617 76 3 ( ( PUNCT iajs-2617 76 4 ๐‘ก ๐‘ก NOUN iajs-2617 76 5 ๐›ผ ๐›ผ NOUN iajs-2617 76 6 ) ) PUNCT iajs-2617 76 7 ๐›ฝโˆ’1[1 ๐›ฝโˆ’1[1 NOUN iajs-2617 77 1 + + CCONJ iajs-2617 77 2 ( ( PUNCT iajs-2617 77 3 ๐‘ก ๐‘ก X iajs-2617 77 4 ๐›ผ ๐›ผ NOUN iajs-2617 77 5 ) ) PUNCT iajs-2617 77 6 ๐›ฝ]โˆ’1 ๐›ฝ]โˆ’1 X iajs-2617 77 7 ( ( PUNCT iajs-2617 77 8 33 33 NUM iajs-2617 77 9 ) ) PUNCT iajs-2617 77 10 4 4 NUM iajs-2617 77 11 . . X iajs-2617 78 1 goodness goodness NOUN iajs-2617 78 2 of of ADP iajs-2617 78 3 fit fit ADJ iajs-2617 78 4 test test NOUN iajs-2617 78 5 in in ADP iajs-2617 78 6 order order NOUN iajs-2617 78 7 to to PART iajs-2617 78 8 compare compare VERB iajs-2617 78 9 the the DET iajs-2617 78 10 distributions distribution NOUN iajs-2617 78 11 , , PUNCT iajs-2617 78 12 we we PRON iajs-2617 78 13 consider consider VERB iajs-2617 78 14 some some DET iajs-2617 78 15 other other ADJ iajs-2617 78 16 criterion criterion NOUN iajs-2617 78 17 like like ADP iajs-2617 78 18 akaike akaike ADJ iajs-2617 78 19 information information NOUN iajs-2617 78 20 criterion criterion NOUN iajs-2617 78 21 ( ( PUNCT iajs-2617 78 22 ๐ด๐ผ๐ถ ๐ด๐ผ๐ถ PROPN iajs-2617 78 23 ) ) PUNCT iajs-2617 78 24 , , PUNCT iajs-2617 78 25 akaike akaike ADP iajs-2617 78 26 information information NOUN iajs-2617 78 27 criterion criterion NOUN iajs-2617 78 28 corrected correct VERB iajs-2617 78 29 ( ( PUNCT iajs-2617 78 30 ๐ด๐ผ๐ถ๐ถ ๐ด๐ผ๐ถ๐ถ PROPN iajs-2617 78 31 ) ) PUNCT iajs-2617 78 32 and and CCONJ iajs-2617 78 33 bayesian bayesian NOUN iajs-2617 78 34 information information NOUN iajs-2617 78 35 criterion criterion NOUN iajs-2617 78 36 ( ( PUNCT iajs-2617 78 37 ๐ต๐ผ๐ถ ๐ต๐ผ๐ถ PROPN iajs-2617 78 38 ) ) PUNCT iajs-2617 78 39 for for ADP iajs-2617 78 40 the the DET iajs-2617 78 41 real real ADJ iajs-2617 78 42 data datum NOUN iajs-2617 78 43 set set VERB iajs-2617 78 44 [ [ X iajs-2617 78 45 2 2 NUM iajs-2617 78 46 ] ] PUNCT iajs-2617 78 47 . . PUNCT iajs-2617 79 1 the the DET iajs-2617 79 2 best good ADJ iajs-2617 79 3 distribution distribution NOUN iajs-2617 79 4 corresponds correspond VERB iajs-2617 79 5 to to ADP iajs-2617 79 6 lower low ADJ iajs-2617 79 7 ๐ด๐ผ๐ถ ๐ด๐ผ๐ถ PROPN iajs-2617 79 8 , , PUNCT iajs-2617 79 9 ๐ด๐ผ๐ถ๐ถ ๐ด๐ผ๐ถ๐ถ PROPN iajs-2617 79 10 , , PUNCT iajs-2617 79 11 and and CCONJ iajs-2617 79 12 ๐ต๐ผ๐ถ ๐ต๐ผ๐ถ NOUN iajs-2617 79 13 values value NOUN iajs-2617 79 14 [ [ X iajs-2617 79 15 7 7 X iajs-2617 79 16 ] ] PUNCT iajs-2617 79 17 and and CCONJ iajs-2617 79 18 [ [ X iajs-2617 79 19 13 13 NUM iajs-2617 79 20 ] ] X iajs-2617 79 21 : : PUNCT iajs-2617 79 22 ๐ด๐ผ๐ถ ๐ด๐ผ๐ถ PROPN iajs-2617 79 23 = = PUNCT iajs-2617 79 24 โˆ’2 โˆ’2 NOUN iajs-2617 79 25 log log NOUN iajs-2617 79 26 ๐ฟ ๐ฟ PROPN iajs-2617 79 27 + + CCONJ iajs-2617 79 28 2๐‘˜ 2๐‘˜ NUM iajs-2617 79 29 ( ( PUNCT iajs-2617 79 30 34 34 NUM iajs-2617 79 31 ) ) PUNCT iajs-2617 79 32 ๐ด๐ผ๐ถ๐ถ ๐ด๐ผ๐ถ๐ถ PROPN iajs-2617 79 33 = = SYM iajs-2617 79 34 ๐ด๐ผ๐ถ ๐ด๐ผ๐ถ PROPN iajs-2617 79 35 + + NUM iajs-2617 79 36 2๐‘˜(๐‘˜+1 2๐‘˜(๐‘˜+1 NOUN iajs-2617 79 37 ) ) PUNCT iajs-2617 79 38 ๐‘›โˆ’๐‘˜โˆ’1 ๐‘›โˆ’๐‘˜โˆ’1 PROPN iajs-2617 79 39 ( ( PUNCT iajs-2617 79 40 35 35 NUM iajs-2617 79 41 ) ) PUNCT iajs-2617 79 42 ๐ต๐ผ๐ถ ๐ต๐ผ๐ถ NOUN iajs-2617 79 43 = = SYM iajs-2617 79 44 โˆ’2 โˆ’2 NOUN iajs-2617 79 45 log log NOUN iajs-2617 79 46 ๐ฟ ๐ฟ PROPN iajs-2617 79 47 + + PROPN iajs-2617 79 48 ๐‘˜ ๐‘˜ DET iajs-2617 79 49 log log NOUN iajs-2617 79 50 ๐‘› ๐‘› PROPN iajs-2617 79 51 ( ( PUNCT iajs-2617 79 52 36 36 NUM iajs-2617 79 53 ) ) PUNCT iajs-2617 79 54 where where SCONJ iajs-2617 79 55 k k PROPN iajs-2617 79 56 is be AUX iajs-2617 79 57 the the DET iajs-2617 79 58 number number NOUN iajs-2617 79 59 of of ADP iajs-2617 79 60 parameters parameter NOUN iajs-2617 79 61 in in ADP iajs-2617 79 62 the the DET iajs-2617 79 63 statistical statistical ADJ iajs-2617 79 64 model model NOUN iajs-2617 79 65 , , PUNCT iajs-2617 79 66 ๐‘› ๐‘› PROPN iajs-2617 79 67 the the DET iajs-2617 79 68 sample sample NOUN iajs-2617 79 69 size size NOUN iajs-2617 79 70 and and CCONJ iajs-2617 79 71 ๐ฟ ๐ฟ PROPN iajs-2617 79 72 is be AUX iajs-2617 79 73 the the DET iajs-2617 79 74 maximized maximized ADJ iajs-2617 79 75 value value NOUN iajs-2617 79 76 of of ADP iajs-2617 79 77 the the DET iajs-2617 79 78 likelihood likelihood NOUN iajs-2617 79 79 function function NOUN iajs-2617 79 80 for for ADP iajs-2617 79 81 the the DET iajs-2617 79 82 estimated estimate VERB iajs-2617 79 83 model model NOUN iajs-2617 79 84 . . PUNCT iajs-2617 80 1 5 5 X iajs-2617 80 2 . . X iajs-2617 80 3 data datum NOUN iajs-2617 80 4 analysis analysis NOUN iajs-2617 80 5 and and CCONJ iajs-2617 80 6 results result VERB iajs-2617 80 7 the the DET iajs-2617 80 8 dataset dataset NOUN iajs-2617 80 9 used use VERB iajs-2617 80 10 in in ADP iajs-2617 80 11 this this DET iajs-2617 80 12 study study NOUN iajs-2617 80 13 consists consist VERB iajs-2617 80 14 of of ADP iajs-2617 80 15 a a DET iajs-2617 80 16 sample sample NOUN iajs-2617 80 17 of of ADP iajs-2617 80 18 ( ( PUNCT iajs-2617 80 19 118 118 NUM iajs-2617 80 20 ) ) PUNCT iajs-2617 80 21 lung lung NOUN iajs-2617 80 22 cancer cancer NOUN iajs-2617 80 23 patients patient NOUN iajs-2617 80 24 obtained obtain VERB iajs-2617 80 25 from from ADP iajs-2617 80 26 salman salman PROPN iajs-2617 80 27 and and CCONJ iajs-2617 80 28 farhan farhan PROPN iajs-2617 81 1 [ [ X iajs-2617 81 2 6 6 NUM iajs-2617 81 3 ] ] PUNCT iajs-2617 81 4 and and CCONJ iajs-2617 81 5 given give VERB iajs-2617 81 6 in in ADP iajs-2617 81 7 table table NOUN iajs-2617 81 8 2 2 NUM iajs-2617 81 9 . . PUNCT iajs-2617 82 1 we we PRON iajs-2617 82 2 can can AUX iajs-2617 82 3 find find VERB iajs-2617 82 4 the the DET iajs-2617 82 5 estimated estimate VERB iajs-2617 82 6 value value NOUN iajs-2617 82 7 of of ADP iajs-2617 82 8 the the DET iajs-2617 82 9 parameters parameter NOUN iajs-2617 82 10 and and CCONJ iajs-2617 82 11 its its PRON iajs-2617 82 12 confidence confidence NOUN iajs-2617 82 13 intervals interval NOUN iajs-2617 82 14 for for ADP iajs-2617 82 15 the the DET iajs-2617 82 16 distributions distribution NOUN iajs-2617 82 17 by by ADP iajs-2617 82 18 using use VERB iajs-2617 82 19 maximum maximum ADJ iajs-2617 82 20 likelihood likelihood NOUN iajs-2617 82 21 estimation estimation NOUN iajs-2617 82 22 method method NOUN iajs-2617 82 23 as as SCONJ iajs-2617 82 24 follows follow VERB iajs-2617 82 25 : : PUNCT iajs-2617 82 26 table1 table1 PROPN iajs-2617 82 27 : : PUNCT iajs-2617 82 28 maximum maximum ADJ iajs-2617 82 29 likelihood likelihood NOUN iajs-2617 82 30 estimates estimate VERB iajs-2617 82 31 parameters parameter NOUN iajs-2617 82 32 of of ADP iajs-2617 82 33 the the DET iajs-2617 82 34 distributions distribution NOUN iajs-2617 82 35 ๐‘€๐‘œ๐‘‘๐‘’๐‘™ ๐‘€๐‘œ๐‘‘๐‘’๐‘™ PROPN iajs-2617 82 36 ๐ธ๐‘ ๐‘ก๐‘–๐‘š๐‘Ž๐‘ก๐‘’๐‘  ๐ธ๐‘ ๐‘ก๐‘–๐‘š๐‘Ž๐‘ก๐‘’๐‘  PROPN iajs-2617 82 37 95 95 NUM iajs-2617 82 38 % % NOUN iajs-2617 82 39 ๐ถ. ๐ถ. PROPN iajs-2617 82 40 ๐ผ ๐ผ ADP iajs-2617 82 41 ๐‘Š๐‘’๐‘–๐‘๐‘ข๐‘™๐‘™ ๐‘Š๐‘’๐‘–๐‘๐‘ข๐‘™๐‘™ PROPN iajs-2617 82 42 ๐›ผ ๐›ผ NOUN iajs-2617 82 43 = = NOUN iajs-2617 82 44 3.05 3.05 NUM iajs-2617 82 45 ๐œ† ๐œ† NOUN iajs-2617 82 46 = = SYM iajs-2617 82 47 373.58 373.58 NUM iajs-2617 82 48 [ [ PUNCT iajs-2617 82 49 2.62 2.62 NUM iajs-2617 82 50 โˆ’ โˆ’ NUM iajs-2617 82 51 3.54 3.54 NUM iajs-2617 82 52 ] ] PUNCT iajs-2617 83 1 [ [ X iajs-2617 83 2 351.30 351.30 NUM iajs-2617 83 3 โˆ’ โˆ’ NOUN iajs-2617 83 4 397.28 397.28 NUM iajs-2617 83 5 ] ] X iajs-2617 83 6 ๐บ๐‘ข๐‘š๐‘๐‘’๐‘™ ๐บ๐‘ข๐‘š๐‘๐‘’๐‘™ PROPN iajs-2617 83 7 ๐ธ๐‘ฅ๐‘๐‘œ๐‘›๐‘’๐‘›๐‘ก๐‘–๐‘Ž๐‘™ ๐ธ๐‘ฅ๐‘๐‘œ๐‘›๐‘’๐‘›๐‘ก๐‘–๐‘Ž๐‘™ PROPN iajs-2617 83 8 ๐œ‡ ๐œ‡ ADP iajs-2617 83 9 = = PROPN iajs-2617 83 10 394.02 394.02 NUM iajs-2617 83 11 ๐›ฝ ๐›ฝ NOUN iajs-2617 83 12 = = SYM iajs-2617 83 13 102.78 102.78 NUM iajs-2617 83 14 ๐œ† ๐œ† NOUN iajs-2617 83 15 = = PUNCT iajs-2617 83 16 337.15 337.15 NUM iajs-2617 83 17 [ [ X iajs-2617 83 18 374.42 374.42 NUM iajs-2617 83 19 โˆ’ โˆ’ NOUN iajs-2617 83 20 413.61 413.61 NUM iajs-2617 83 21 ] ] PUNCT iajs-2617 84 1 [ [ X iajs-2617 84 2 89.521 89.521 NUM iajs-2617 84 3 โˆ’ โˆ’ NUM iajs-2617 84 4 118.01 118.01 NUM iajs-2617 84 5 ] ] PUNCT iajs-2617 85 1 [ [ X iajs-2617 85 2 281.49 281.49 NUM iajs-2617 85 3 โˆ’ โˆ’ NUM iajs-2617 85 4 403 403 NUM iajs-2617 85 5 . . PUNCT iajs-2617 86 1 82 82 NUM iajs-2617 86 2 ] ] PUNCT iajs-2617 86 3 ๐ฟ๐‘œ๐‘” ๐ฟ๐‘œ๐‘” PROPN iajs-2617 86 4 โˆ’ โˆ’ PROPN iajs-2617 86 5 ๐‘™๐‘œ๐‘”๐‘–๐‘ ๐‘ก๐‘–๐‘ ๐‘™๐‘œ๐‘”๐‘–๐‘ ๐‘ก๐‘–๐‘ PROPN iajs-2617 86 6 ๐›ฝ ๐›ฝ NOUN iajs-2617 86 7 = = NUM iajs-2617 86 8 5.80 5.80 NUM iajs-2617 86 9 ๐›ผ ๐›ผ NOUN iajs-2617 86 10 = = NOUN iajs-2617 86 11 0.26 0.26 NUM iajs-2617 87 1 [ [ X iajs-2617 87 2 5.72 5.72 NUM iajs-2617 87 3 โˆ’ โˆ’ NUM iajs-2617 87 4 5.88 5.88 NUM iajs-2617 87 5 ] ] PUNCT iajs-2617 88 1 [ [ X iajs-2617 88 2 0.22 0.22 NUM iajs-2617 88 3 โ€“ โ€“ PUNCT iajs-2617 88 4 0.30 0.30 NUM iajs-2617 88 5 ] ] PUNCT iajs-2617 88 6 the the DET iajs-2617 88 7 survival survival NOUN iajs-2617 88 8 function function VERB iajs-2617 88 9 estimations estimation NOUN iajs-2617 88 10 of of ADP iajs-2617 88 11 time time NOUN iajs-2617 88 12 are be AUX iajs-2617 88 13 obtained obtain VERB iajs-2617 88 14 by by ADP iajs-2617 88 15 substituting substitute VERB iajs-2617 88 16 these these DET iajs-2617 88 17 estimated estimate VERB iajs-2617 88 18 values value NOUN iajs-2617 88 19 of of ADP iajs-2617 88 20 the the DET iajs-2617 88 21 parameters parameter NOUN iajs-2617 88 22 in in ADP iajs-2617 88 23 equations equation NOUN iajs-2617 88 24 ( ( PUNCT iajs-2617 88 25 14 14 NUM iajs-2617 88 26 ) ) PUNCT iajs-2617 88 27 , , PUNCT iajs-2617 88 28 ( ( PUNCT iajs-2617 88 29 20 20 NUM iajs-2617 88 30 ) ) PUNCT iajs-2617 88 31 , , PUNCT iajs-2617 88 32 ( ( PUNCT iajs-2617 88 33 26 26 NUM iajs-2617 88 34 ) ) PUNCT iajs-2617 88 35 , , PUNCT iajs-2617 88 36 and and CCONJ iajs-2617 88 37 ( ( PUNCT iajs-2617 88 38 32 32 NUM iajs-2617 88 39 ) ) PUNCT iajs-2617 88 40 as as SCONJ iajs-2617 88 41 shown show VERB iajs-2617 88 42 in in ADP iajs-2617 88 43 table table NOUN iajs-2617 88 44 2 2 NUM iajs-2617 88 45 . . PUNCT iajs-2617 89 1 and and CCONJ iajs-2617 89 2 the the DET iajs-2617 89 3 survival survival NOUN iajs-2617 89 4 plots plot NOUN iajs-2617 89 5 of of ADP iajs-2617 89 6 the the DET iajs-2617 89 7 w.d w.d PROPN iajs-2617 89 8 , , PUNCT iajs-2617 89 9 g.d g.d PROPN iajs-2617 89 10 , , PUNCT iajs-2617 89 11 e.d e.d PROPN iajs-2617 89 12 and and CCONJ iajs-2617 89 13 l.l.d l.l.d NOUN iajs-2617 89 14 are be AUX iajs-2617 89 15 shown show VERB iajs-2617 89 16 in in ADP iajs-2617 89 17 figures figure NOUN iajs-2617 89 18 1 1 NUM iajs-2617 89 19 , , PUNCT iajs-2617 89 20 2 2 NUM iajs-2617 89 21 , , PUNCT iajs-2617 89 22 3 3 NUM iajs-2617 89 23 , , PUNCT iajs-2617 89 24 and and CCONJ iajs-2617 89 25 4 4 NUM iajs-2617 89 26 respectively respectively ADV iajs-2617 89 27 . . PUNCT iajs-2617 90 1 114 114 NUM iajs-2617 90 2 ibn ibn PROPN iajs-2617 90 3 al al PROPN iajs-2617 90 4 - - PUNCT iajs-2617 90 5 haitham haitham PROPN iajs-2617 90 6 jour jour X iajs-2617 90 7 . . PROPN iajs-2617 90 8 for for ADP iajs-2617 90 9 pure pure ADJ iajs-2617 90 10 & & CCONJ iajs-2617 90 11 appl appl PROPN iajs-2617 90 12 . . PUNCT iajs-2617 91 1 sci sci PROPN iajs-2617 91 2 . . PROPN iajs-2617 92 1 34 34 NUM iajs-2617 92 2 ( ( PUNCT iajs-2617 92 3 2 2 NUM iajs-2617 92 4 ) ) PUNCT iajs-2617 92 5 2021 2021 NUM iajs-2617 92 6 figure figure NOUN iajs-2617 92 7 1 1 NUM iajs-2617 92 8 : : PUNCT iajs-2617 92 9 the the DET iajs-2617 92 10 curve curve NOUN iajs-2617 92 11 of of ADP iajs-2617 92 12 weibull weibull NOUN iajs-2617 92 13 distribution distribution NOUN iajs-2617 92 14 for for ADP iajs-2617 92 15 survival survival NOUN iajs-2617 92 16 function function NOUN iajs-2617 92 17 figure figure NOUN iajs-2617 92 18 2 2 NUM iajs-2617 92 19 : : PUNCT iajs-2617 92 20 the the DET iajs-2617 92 21 curve curve NOUN iajs-2617 92 22 of of ADP iajs-2617 92 23 gumbel gumbel PROPN iajs-2617 92 24 distribution distribution NOUN iajs-2617 92 25 for for ADP iajs-2617 92 26 survival survival NOUN iajs-2617 92 27 function function NOUN iajs-2617 92 28 figure figure NOUN iajs-2617 92 29 3 3 NUM iajs-2617 92 30 : : PUNCT iajs-2617 92 31 the the DET iajs-2617 92 32 curve curve NOUN iajs-2617 92 33 of of ADP iajs-2617 92 34 exponential exponential ADJ iajs-2617 92 35 distribution distribution NOUN iajs-2617 92 36 for for ADP iajs-2617 92 37 survival survival NOUN iajs-2617 92 38 function function NOUN iajs-2617 92 39 600500400300200100 600500400300200100 NUM iajs-2617 92 40 100 100 NUM iajs-2617 92 41 80 80 NUM iajs-2617 92 42 60 60 NUM iajs-2617 92 43 40 40 NUM iajs-2617 92 44 20 20 NUM iajs-2617 92 45 0 0 NUM iajs-2617 92 46 shape shape NOUN iajs-2617 92 47 3.04788 3.04788 NUM iajs-2617 92 48 scale scale NOUN iajs-2617 92 49 373.580 373.580 NUM iajs-2617 92 50 mean mean NOUN iajs-2617 92 51 333.835 333.835 NUM iajs-2617 92 52 stdev stdev NOUN iajs-2617 92 53 119.621 119.621 NUM iajs-2617 92 54 median median NOUN iajs-2617 92 55 331.253 331.253 NUM iajs-2617 92 56 iqr iqr PROPN iajs-2617 92 57 167.610 167.610 NUM iajs-2617 92 58 failure failure NOUN iajs-2617 92 59 118 118 NUM iajs-2617 92 60 censor censor NOUN iajs-2617 92 61 0 0 NUM iajs-2617 92 62 table table NOUN iajs-2617 92 63 of of ADP iajs-2617 92 64 statistics statistic NOUN iajs-2617 92 65 time time NOUN iajs-2617 92 66 p p PROPN iajs-2617 92 67 e e PROPN iajs-2617 92 68 rc rc PROPN iajs-2617 92 69 e e PROPN iajs-2617 92 70 n n PROPN iajs-2617 92 71 t t PROPN iajs-2617 92 72 6005004003002001000 6005004003002001000 NUM iajs-2617 92 73 - - SYM iajs-2617 92 74 100 100 NUM iajs-2617 92 75 100 100 NUM iajs-2617 92 76 80 80 NUM iajs-2617 92 77 60 60 NUM iajs-2617 92 78 40 40 NUM iajs-2617 92 79 20 20 NUM iajs-2617 92 80 0 0 NUM iajs-2617 92 81 loc loc PROPN iajs-2617 92 82 394.015 394.015 NUM iajs-2617 92 83 scale scale NOUN iajs-2617 92 84 102.781 102.781 NUM iajs-2617 92 85 mean mean NOUN iajs-2617 92 86 334.688 334.688 NUM iajs-2617 92 87 stdev stdev NOUN iajs-2617 92 88 131.821 131.821 NUM iajs-2617 92 89 median median NOUN iajs-2617 92 90 356.344 356.344 NUM iajs-2617 92 91 iqr iqr ADJ iajs-2617 92 92 161.626 161.626 NUM iajs-2617 92 93 failure failure NOUN iajs-2617 92 94 118 118 NUM iajs-2617 92 95 censor censor NOUN iajs-2617 92 96 0 0 NUM iajs-2617 92 97 table table NOUN iajs-2617 92 98 of of ADP iajs-2617 92 99 statistics statistic NOUN iajs-2617 92 100 time time NOUN iajs-2617 92 101 p p PROPN iajs-2617 92 102 e e PROPN iajs-2617 92 103 rc rc PROPN iajs-2617 92 104 e e PROPN iajs-2617 92 105 n n PROPN iajs-2617 92 106 t t PROPN iajs-2617 92 107 16001400120010008006004002000 16001400120010008006004002000 NUM iajs-2617 92 108 100 100 NUM iajs-2617 92 109 80 80 NUM iajs-2617 92 110 60 60 NUM iajs-2617 92 111 40 40 NUM iajs-2617 92 112 20 20 NUM iajs-2617 92 113 0 0 NUM iajs-2617 92 114 mean mean NOUN iajs-2617 92 115 337.153 337.153 NUM iajs-2617 92 116 stdev stdev NOUN iajs-2617 92 117 337.153 337.153 NUM iajs-2617 92 118 median median PROPN iajs-2617 92 119 233.696 233.696 NUM iajs-2617 92 120 iqr iqr NOUN iajs-2617 92 121 370.400 370.400 NUM iajs-2617 92 122 failure failure NOUN iajs-2617 92 123 118 118 NUM iajs-2617 92 124 censor censor NOUN iajs-2617 92 125 0 0 NUM iajs-2617 92 126 table table NOUN iajs-2617 92 127 of of ADP iajs-2617 92 128 statistics statistic NOUN iajs-2617 92 129 time time NOUN iajs-2617 92 130 p p PROPN iajs-2617 92 131 e e PROPN iajs-2617 92 132 rc rc PROPN iajs-2617 92 133 e e PROPN iajs-2617 92 134 n n PROPN iajs-2617 92 135 t t PROPN iajs-2617 92 136 115 115 NUM iajs-2617 92 137 ibn ibn PROPN iajs-2617 92 138 al al PROPN iajs-2617 92 139 - - PUNCT iajs-2617 92 140 haitham haitham PROPN iajs-2617 92 141 jour jour X iajs-2617 92 142 . . PROPN iajs-2617 93 1 for for ADP iajs-2617 93 2 pure pure ADJ iajs-2617 93 3 & & CCONJ iajs-2617 93 4 appl appl PROPN iajs-2617 93 5 . . PUNCT iajs-2617 94 1 sci sci PROPN iajs-2617 94 2 . . PROPN iajs-2617 95 1 34 34 NUM iajs-2617 95 2 ( ( PUNCT iajs-2617 95 3 2 2 NUM iajs-2617 95 4 ) ) PUNCT iajs-2617 95 5 2021 2021 NUM iajs-2617 95 6 figure figure NOUN iajs-2617 95 7 4 4 NUM iajs-2617 95 8 : : PUNCT iajs-2617 95 9 the the DET iajs-2617 95 10 curve curve NOUN iajs-2617 95 11 of of ADP iajs-2617 95 12 log log NOUN iajs-2617 95 13 logistic logistic ADJ iajs-2617 95 14 distribution distribution NOUN iajs-2617 95 15 for for ADP iajs-2617 95 16 survival survival NOUN iajs-2617 95 17 function function NOUN iajs-2617 95 18 table table NOUN iajs-2617 95 19 2 2 NUM iajs-2617 95 20 : : PUNCT iajs-2617 95 21 estimated estimate VERB iajs-2617 95 22 values value NOUN iajs-2617 95 23 of of ADP iajs-2617 95 24 the the DET iajs-2617 95 25 survival survival NOUN iajs-2617 95 26 function function NOUN iajs-2617 95 27 [ [ X iajs-2617 95 28 6 6 NUM iajs-2617 95 29 ] ] SYM iajs-2617 95 30 120010008006004002000 120010008006004002000 NUM iajs-2617 95 31 100 100 NUM iajs-2617 95 32 80 80 NUM iajs-2617 95 33 60 60 NUM iajs-2617 95 34 40 40 NUM iajs-2617 95 35 20 20 NUM iajs-2617 95 36 0 0 NUM iajs-2617 95 37 loc loc NOUN iajs-2617 95 38 5.80194 5.80194 NUM iajs-2617 95 39 scale scale NOUN iajs-2617 95 40 0.256581 0.256581 NUM iajs-2617 95 41 mean mean NOUN iajs-2617 95 42 369.695 369.695 NUM iajs-2617 95 43 stdev stdev NOUN iajs-2617 95 44 200.104 200.104 NUM iajs-2617 95 45 median median NOUN iajs-2617 95 46 330.940 330.940 NUM iajs-2617 95 47 iqr iqr NOUN iajs-2617 95 48 189.054 189.054 NUM iajs-2617 95 49 failure failure NOUN iajs-2617 95 50 118 118 NUM iajs-2617 95 51 censor censor NOUN iajs-2617 95 52 0 0 NUM iajs-2617 95 53 table table NOUN iajs-2617 95 54 of of ADP iajs-2617 95 55 statistics statistic NOUN iajs-2617 95 56 time time NOUN iajs-2617 95 57 p p PROPN iajs-2617 95 58 e e PROPN iajs-2617 95 59 rc rc PROPN iajs-2617 95 60 e e PROPN iajs-2617 95 61 n n PROPN iajs-2617 95 62 t t PROPN iajs-2617 95 63 no no PROPN iajs-2617 95 64 . . PUNCT iajs-2617 95 65 time time NOUN iajs-2617 95 66 /day /day SYM iajs-2617 95 67 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 68 ฬ‚ ฬ‚ VERB iajs-2617 95 69 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 70 (๐‘พ. (๐‘พ. NOUN iajs-2617 95 71 ๐‘ซ ๐‘ซ NOUN iajs-2617 95 72 ) ) PUNCT iajs-2617 95 73 ๏ฟฝ ๏ฟฝ NOUN iajs-2617 95 74 ฬ‚ ฬ‚ VERB iajs-2617 95 75 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 76 (๐‘ฎ. (๐‘ฎ. NOUN iajs-2617 95 77 ๐‘ซ ๐‘ซ NOUN iajs-2617 95 78 ) ) PUNCT iajs-2617 95 79 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 80 ฬ‚ ฬ‚ SYM iajs-2617 95 81 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 82 (๐‘ฌ. (๐‘ฌ. NOUN iajs-2617 95 83 ๐‘ซ ๐‘ซ NOUN iajs-2617 95 84 ) ) PUNCT iajs-2617 95 85 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 86 ฬ‚ ฬ‚ VERB iajs-2617 95 87 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 88 (๐‘ณ. (๐‘ณ. NOUN iajs-2617 95 89 ๐‘ซ ๐‘ซ NOUN iajs-2617 95 90 ) ) PUNCT iajs-2617 95 91 no no NOUN iajs-2617 95 92 . . NOUN iajs-2617 95 93 time time NOUN iajs-2617 95 94 /day /day SYM iajs-2617 95 95 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 96 ฬ‚ ฬ‚ VERB iajs-2617 95 97 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 98 (๐‘พ. (๐‘พ. NOUN iajs-2617 95 99 ๐‘ซ ๐‘ซ NOUN iajs-2617 95 100 ) ) PUNCT iajs-2617 95 101 ๏ฟฝ ๏ฟฝ NOUN iajs-2617 95 102 ฬ‚ ฬ‚ VERB iajs-2617 95 103 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 104 (๐‘ฎ. (๐‘ฎ. NOUN iajs-2617 95 105 ๐‘ซ ๐‘ซ NOUN iajs-2617 95 106 ) ) PUNCT iajs-2617 95 107 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 108 ฬ‚ ฬ‚ SYM iajs-2617 95 109 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 110 (๐‘ฌ. (๐‘ฌ. NOUN iajs-2617 95 111 ๐‘ซ ๐‘ซ NOUN iajs-2617 95 112 ) ) PUNCT iajs-2617 95 113 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 114 ฬ‚ ฬ‚ VERB iajs-2617 95 115 ๏ฟฝ ๏ฟฝ PROPN iajs-2617 95 116 (๐‘ณ. (๐‘ณ. NOUN iajs-2617 95 117 ๐‘ซ ๐‘ซ NOUN iajs-2617 95 118 ) ) PUNCT iajs-2617 95 119 1 1 NUM iajs-2617 95 120 3 3 NUM iajs-2617 95 121 1.000 1.000 NUM iajs-2617 95 122 0.978 0.978 NUM iajs-2617 95 123 0.991 0.991 NUM iajs-2617 95 124 1.000 1.000 NUM iajs-2617 95 125 60 60 NUM iajs-2617 95 126 341 341 NUM iajs-2617 95 127 0.469 0.469 NUM iajs-2617 95 128 0.550 0.550 NUM iajs-2617 95 129 0.364 0.364 NUM iajs-2617 95 130 0.471 0.471 NUM iajs-2617 95 131 2 2 NUM iajs-2617 95 132 37 37 NUM iajs-2617 95 133 0.999 0.999 NUM iajs-2617 95 134 0.969 0.969 NUM iajs-2617 95 135 0.896 0.896 NUM iajs-2617 95 136 0.999 0.999 NUM iajs-2617 95 137 61 61 NUM iajs-2617 95 138 342 342 NUM iajs-2617 95 139 0.466 0.466 NUM iajs-2617 95 140 0.547 0.547 NUM iajs-2617 95 141 0.363 0.363 NUM iajs-2617 95 142 0.468 0.468 NUM iajs-2617 95 143 3 3 NUM iajs-2617 95 144 72 72 NUM iajs-2617 95 145 0.993 0.993 NUM iajs-2617 95 146 0.957 0.957 NUM iajs-2617 95 147 0.808 0.808 NUM iajs-2617 95 148 0.997 0.997 NUM iajs-2617 95 149 62 62 NUM iajs-2617 95 150 345 345 NUM iajs-2617 95 151 0.456 0.456 NUM iajs-2617 95 152 0.538 0.538 NUM iajs-2617 95 153 0.359 0.359 NUM iajs-2617 95 154 0.460 0.460 NUM iajs-2617 95 155 4 4 NUM iajs-2617 95 156 75 75 NUM iajs-2617 95 157 0.993 0.993 NUM iajs-2617 95 158 0.956 0.956 NUM iajs-2617 95 159 0.801 0.801 NUM iajs-2617 95 160 0.997 0.997 NUM iajs-2617 95 161 63 63 NUM iajs-2617 95 162 349 349 NUM iajs-2617 95 163 0.444 0.444 NUM iajs-2617 95 164 0.524 0.524 NUM iajs-2617 95 165 0.355 0.355 NUM iajs-2617 95 166 0.448 0.448 NUM iajs-2617 95 167 5 5 NUM iajs-2617 95 168 91 91 NUM iajs-2617 95 169 0.987 0.987 NUM iajs-2617 95 170 0.949 0.949 NUM iajs-2617 95 171 0.763 0.763 NUM iajs-2617 95 172 0.994 0.994 NUM iajs-2617 95 173 64 64 NUM iajs-2617 95 174 354 354 NUM iajs-2617 95 175 0.428 0.428 NUM iajs-2617 95 176 0.508 0.508 NUM iajs-2617 95 177 0.349 0.349 NUM iajs-2617 95 178 0.435 0.435 NUM iajs-2617 95 179 6 6 NUM iajs-2617 95 180 100 100 NUM iajs-2617 95 181 0.982 0.982 NUM iajs-2617 95 182 0.944 0.944 NUM iajs-2617 95 183 0.743 0.743 NUM iajs-2617 95 184 0.991 0.991 NUM iajs-2617 95 185 65 65 NUM iajs-2617 95 186 357 357 NUM iajs-2617 95 187 0.419 0.419 NUM iajs-2617 95 188 0.498 0.498 NUM iajs-2617 95 189 0.347 0.347 NUM iajs-2617 95 190 0.427 0.427 NUM iajs-2617 95 191 7 7 NUM iajs-2617 95 192 103 103 NUM iajs-2617 95 193 0.981 0.981 NUM iajs-2617 95 194 0.943 0.943 NUM iajs-2617 95 195 0.737 0.737 NUM iajs-2617 95 196 0.989 0.989 NUM iajs-2617 95 197 66 66 NUM iajs-2617 95 198 363 363 NUM iajs-2617 95 199 0.400 0.400 NUM iajs-2617 95 200 0.477 0.477 NUM iajs-2617 95 201 0.341 0.341 NUM iajs-2617 95 202 0.411 0.411 NUM iajs-2617 95 203 8 8 NUM iajs-2617 95 204 121 121 NUM iajs-2617 95 205 0.968 0.968 NUM iajs-2617 95 206 0.932 0.932 NUM iajs-2617 95 207 0.699 0.699 NUM iajs-2617 95 208 0.981 0.981 NUM iajs-2617 95 209 67 67 NUM iajs-2617 95 210 364 364 NUM iajs-2617 95 211 0.397 0.397 NUM iajs-2617 95 212 0.474 0.474 NUM iajs-2617 95 213 0.339 0.339 NUM iajs-2617 95 214 0.408 0.408 NUM iajs-2617 95 215 9 9 NUM iajs-2617 95 216 127 127 NUM iajs-2617 95 217 0.964 0.964 NUM iajs-2617 95 218 0.928 0.928 NUM iajs-2617 95 219 0.686 0.686 NUM iajs-2617 95 220 0.977 0.977 NUM iajs-2617 95 221 68 68 NUM iajs-2617 95 222 364 364 NUM iajs-2617 95 223 0.397 0.397 NUM iajs-2617 95 224 0.474 0.474 NUM iajs-2617 95 225 0.339 0.339 NUM iajs-2617 95 226 0.408 0.408 NUM iajs-2617 95 227 10 10 NUM iajs-2617 95 228 140 140 NUM iajs-2617 95 229 0.951 0.951 NUM iajs-2617 95 230 0.919 0.919 NUM iajs-2617 95 231 0.660 0.660 NUM iajs-2617 95 232 0.966 0.966 NUM iajs-2617 95 233 69 69 NUM iajs-2617 95 234 366 366 NUM iajs-2617 95 235 0.391 0.391 NUM iajs-2617 95 236 0.467 0.467 NUM iajs-2617 95 237 0.338 0.338 NUM iajs-2617 95 238 0.403 0.403 NUM iajs-2617 95 239 11 11 NUM iajs-2617 95 240 154 154 NUM iajs-2617 95 241 0.935 0.935 NUM iajs-2617 95 242 0.908 0.908 NUM iajs-2617 95 243 0.633 0.633 NUM iajs-2617 95 244 0.952 0.952 NUM iajs-2617 95 245 70 70 NUM iajs-2617 95 246 367 367 NUM iajs-2617 95 247 0.388 0.388 NUM iajs-2617 95 248 0.464 0.464 NUM iajs-2617 95 249 0.337 0.337 NUM iajs-2617 95 250 0.401 0.401 NUM iajs-2617 95 251 12 12 NUM iajs-2617 95 252 156 156 NUM iajs-2617 95 253 0.933 0.933 NUM iajs-2617 95 254 0.906 0.906 NUM iajs-2617 95 255 0.629 0.629 NUM iajs-2617 95 256 0.949 0.949 NUM iajs-2617 95 257 71 71 NUM iajs-2617 95 258 368 368 NUM iajs-2617 95 259 0.385 0.385 NUM iajs-2617 95 260 0.460 0.460 NUM iajs-2617 95 261 0.336 0.336 NUM iajs-2617 95 262 0.398 0.398 NUM iajs-2617 95 263 13 13 NUM iajs-2617 95 264 164 164 NUM iajs-2617 95 265 0.922 0.922 NUM iajs-2617 95 266 0.899 0.899 NUM iajs-2617 95 267 0.615 0.615 NUM iajs-2617 95 268 0.939 0.939 NUM iajs-2617 95 269 72 72 NUM iajs-2617 95 270 371 371 NUM iajs-2617 95 271 0.376 0.376 NUM iajs-2617 95 272 0.449 0.449 NUM iajs-2617 95 273 0.333 0.333 NUM iajs-2617 95 274 0.391 0.391 NUM iajs-2617 95 275 14 14 NUM iajs-2617 95 276 186 186 NUM iajs-2617 95 277 0.888 0.888 NUM iajs-2617 95 278 0.876 0.876 NUM iajs-2617 95 279 0.576 0.576 NUM iajs-2617 95 280 0.904 0.904 NUM iajs-2617 95 281 73 73 NUM iajs-2617 95 282 373 373 NUM iajs-2617 95 283 0.369 0.369 NUM iajs-2617 95 284 0.443 0.443 NUM iajs-2617 95 285 0.331 0.331 NUM iajs-2617 95 286 0.386 0.386 NUM iajs-2617 95 287 15 15 NUM iajs-2617 95 288 211 211 NUM iajs-2617 95 289 0.839 0.839 NUM iajs-2617 95 290 0.845 0.845 NUM iajs-2617 95 291 0.535 0.535 NUM iajs-2617 95 292 0.853 0.853 NUM iajs-2617 95 293 74 74 NUM iajs-2617 95 294 380 380 NUM iajs-2617 95 295 0.349 0.349 NUM iajs-2617 95 296 0.419 0.419 NUM iajs-2617 95 297 0.324 0.324 NUM iajs-2617 95 298 0.369 0.369 NUM iajs-2617 95 299 16 16 NUM iajs-2617 95 300 212 212 NUM iajs-2617 95 301 0.837 0.837 NUM iajs-2617 95 302 0.844 0.844 NUM iajs-2617 95 303 0.533 0.533 NUM iajs-2617 95 304 0.850 0.850 NUM iajs-2617 95 305 75 75 NUM iajs-2617 95 306 387 387 NUM iajs-2617 95 307 0.328 0.328 NUM iajs-2617 95 308 0.393 0.393 NUM iajs-2617 95 309 0.317 0.317 NUM iajs-2617 95 310 0.352 0.352 NUM iajs-2617 95 311 17 17 NUM iajs-2617 95 312 213 213 NUM iajs-2617 95 313 0.835 0.835 NUM iajs-2617 95 314 0.842 0.842 NUM iajs-2617 95 315 0.532 0.532 NUM iajs-2617 95 316 0.848 0.848 NUM iajs-2617 95 317 76 76 NUM iajs-2617 95 318 387 387 NUM iajs-2617 95 319 0.328 0.328 NUM iajs-2617 95 320 0.393 0.393 NUM iajs-2617 95 321 0.317 0.317 NUM iajs-2617 95 322 0.352 0.352 NUM iajs-2617 95 323 18 18 NUM iajs-2617 95 324 217 217 NUM iajs-2617 95 325 0.826 0.826 NUM iajs-2617 95 326 0.836 0.836 NUM iajs-2617 95 327 0.525 0.525 NUM iajs-2617 95 328 0.838 0.838 NUM iajs-2617 95 329 77 77 NUM iajs-2617 95 330 392 392 NUM iajs-2617 95 331 0.314 0.314 NUM iajs-2617 95 332 0.375 0.375 NUM iajs-2617 95 333 0.313 0.313 NUM iajs-2617 95 334 0.341 0.341 NUM iajs-2617 95 335 19 19 NUM iajs-2617 95 336 218 218 NUM iajs-2617 95 337 0.824 0.824 NUM iajs-2617 95 338 0.835 0.835 NUM iajs-2617 95 339 0.524 0.524 NUM iajs-2617 95 340 0.836 0.836 NUM iajs-2617 95 341 78 78 NUM iajs-2617 95 342 393 393 NUM iajs-2617 95 343 0.311 0.311 NUM iajs-2617 95 344 0.372 0.372 NUM iajs-2617 95 345 0.312 0.312 NUM iajs-2617 95 346 0.339 0.339 NUM iajs-2617 95 347 20 20 NUM iajs-2617 95 348 221 221 NUM iajs-2617 95 349 0.817 0.817 NUM iajs-2617 95 350 0.831 0.831 NUM iajs-2617 95 351 0.519 0.519 NUM iajs-2617 95 352 0.828 0.828 NUM iajs-2617 95 353 79 79 NUM iajs-2617 95 354 397 397 NUM iajs-2617 95 355 0.300 0.300 NUM iajs-2617 95 356 0.357 0.357 NUM iajs-2617 95 357 0.308 0.308 NUM iajs-2617 95 358 0.330 0.330 NUM iajs-2617 95 359 21 21 NUM iajs-2617 95 360 221 221 NUM iajs-2617 95 361 0.817 0.817 NUM iajs-2617 95 362 0.831 0.831 NUM iajs-2617 95 363 0.519 0.519 NUM iajs-2617 95 364 0.828 0.828 NUM iajs-2617 95 365 80 80 NUM iajs-2617 95 366 399 399 NUM iajs-2617 95 367 0.295 0.295 NUM iajs-2617 95 368 0.350 0.350 NUM iajs-2617 95 369 0.306 0.306 NUM iajs-2617 95 370 0.325 0.325 NUM iajs-2617 95 371 22 22 NUM iajs-2617 95 372 233 233 NUM iajs-2617 95 373 0.789 0.789 NUM iajs-2617 95 374 0.812 0.812 NUM iajs-2617 95 375 0.501 0.501 NUM iajs-2617 95 376 0.797 0.797 NUM iajs-2617 95 377 81 81 NUM iajs-2617 95 378 400 400 NUM iajs-2617 95 379 0.292 0.292 NUM iajs-2617 95 380 0.346 0.346 NUM iajs-2617 95 381 0.305 0.305 NUM iajs-2617 95 382 0.323 0.323 NUM iajs-2617 95 383 116 116 NUM iajs-2617 95 384 ibn ibn PROPN iajs-2617 95 385 al al PROPN iajs-2617 95 386 - - PUNCT iajs-2617 95 387 haitham haitham PROPN iajs-2617 95 388 jour jour X iajs-2617 95 389 . . PROPN iajs-2617 96 1 for for ADP iajs-2617 96 2 pure pure ADJ iajs-2617 96 3 & & CCONJ iajs-2617 96 4 appl appl PROPN iajs-2617 96 5 . . PUNCT iajs-2617 97 1 sci sci PROPN iajs-2617 97 2 . . PROPN iajs-2617 98 1 34 34 NUM iajs-2617 98 2 ( ( PUNCT iajs-2617 98 3 2 2 NUM iajs-2617 98 4 ) ) PUNCT iajs-2617 98 5 2021 2021 NUM iajs-2617 98 6 23 23 NUM iajs-2617 99 1 240 240 NUM iajs-2617 99 2 0.772 0.772 NUM iajs-2617 99 3 0.789 0.789 NUM iajs-2617 99 4 0.491 0.491 NUM iajs-2617 99 5 0.778 0.778 NUM iajs-2617 99 6 82 82 NUM iajs-2617 99 7 400 400 NUM iajs-2617 99 8 0.292 0.292 NUM iajs-2617 99 9 0.346 0.346 NUM iajs-2617 99 10 0.305 0.305 NUM iajs-2617 99 11 0.323 0.323 NUM iajs-2617 99 12 24 24 NUM iajs-2617 99 13 241 241 NUM iajs-2617 99 14 0.769 0.769 NUM iajs-2617 99 15 0.798 0.798 NUM iajs-2617 99 16 0.489 0.489 NUM iajs-2617 99 17 0.775 0.775 NUM iajs-2617 99 18 83 83 NUM iajs-2617 99 19 401 401 NUM iajs-2617 99 20 0.289 0.289 NUM iajs-2617 99 21 0.343 0.343 NUM iajs-2617 99 22 0.304 0.304 NUM iajs-2617 99 23 0.321 0.321 NUM iajs-2617 99 24 25 25 NUM iajs-2617 99 25 243 243 NUM iajs-2617 99 26 0.764 0.764 NUM iajs-2617 99 27 0.794 0.794 NUM iajs-2617 99 28 0.486 0.486 NUM iajs-2617 99 29 0.769 0.769 NUM iajs-2617 99 30 84 84 NUM iajs-2617 99 31 402 402 NUM iajs-2617 99 32 0.286 0.286 NUM iajs-2617 99 33 0.339 0.339 NUM iajs-2617 99 34 0.304 0.304 NUM iajs-2617 99 35 0.319 0.319 NUM iajs-2617 99 36 26 26 NUM iajs-2617 99 37 249 249 NUM iajs-2617 99 38 0.748 0.748 NUM iajs-2617 99 39 0.784 0.784 NUM iajs-2617 99 40 0.478 0.478 NUM iajs-2617 99 41 0.752 0.752 NUM iajs-2617 99 42 85 85 NUM iajs-2617 99 43 407 407 NUM iajs-2617 99 44 0.273 0.273 NUM iajs-2617 99 45 0.322 0.322 NUM iajs-2617 99 46 0.299 0.299 NUM iajs-2617 99 47 0.309 0.309 NUM iajs-2617 99 48 27 27 NUM iajs-2617 99 49 254 254 NUM iajs-2617 99 50 0.735 0.735 NUM iajs-2617 99 51 0.774 0.774 NUM iajs-2617 99 52 0.471 0.471 NUM iajs-2617 99 53 0.737 0.737 NUM iajs-2617 99 54 86 86 NUM iajs-2617 99 55 409 409 NUM iajs-2617 99 56 0.268 0.268 NUM iajs-2617 99 57 0.314 0.314 NUM iajs-2617 99 58 0.297 0.297 NUM iajs-2617 99 59 0.305 0.305 NUM iajs-2617 99 60 28 28 NUM iajs-2617 99 61 266 266 NUM iajs-2617 99 62 0.701 0.701 NUM iajs-2617 99 63 0.749 0.749 NUM iajs-2617 99 64 0.454 0.454 NUM iajs-2617 99 65 0.701 0.701 NUM iajs-2617 99 66 87 87 NUM iajs-2617 99 67 419 419 NUM iajs-2617 99 68 0.242 0.242 NUM iajs-2617 99 69 0.279 0.279 NUM iajs-2617 99 70 0.289 0.289 NUM iajs-2617 99 71 0.285 0.285 NUM iajs-2617 99 72 29 29 NUM iajs-2617 99 73 273 273 NUM iajs-2617 99 74 0.681 0.681 NUM iajs-2617 99 75 0.735 0.735 NUM iajs-2617 99 76 0.445 0.445 NUM iajs-2617 99 77 0.679 0.679 NUM iajs-2617 99 78 88 88 NUM iajs-2617 99 79 421 421 NUM iajs-2617 99 80 0.237 0.237 NUM iajs-2617 99 81 0.272 0.272 NUM iajs-2617 99 82 0.287 0.287 NUM iajs-2617 99 83 0.281 0.281 NUM iajs-2617 99 84 30 30 NUM iajs-2617 99 85 276 276 NUM iajs-2617 99 86 0.672 0.672 NUM iajs-2617 99 87 0.728 0.728 NUM iajs-2617 99 88 0.441 0.441 NUM iajs-2617 99 89 0.669 0.669 NUM iajs-2617 99 90 89 89 NUM iajs-2617 99 91 421 421 NUM iajs-2617 99 92 0.237 0.237 NUM iajs-2617 99 93 0.272 0.272 NUM iajs-2617 99 94 0.287 0.287 NUM iajs-2617 99 95 0.281 0.281 NUM iajs-2617 99 96 31 31 NUM iajs-2617 99 97 277 277 NUM iajs-2617 99 98 0.669 0.669 NUM iajs-2617 99 99 0.726 0.726 NUM iajs-2617 99 100 0.440 0.440 NUM iajs-2617 99 101 0.667 0.667 NUM iajs-2617 99 102 90 90 NUM iajs-2617 99 103 422 422 NUM iajs-2617 99 104 0.235 0.235 NUM iajs-2617 99 105 0.269 0.269 NUM iajs-2617 99 106 0.286 0.286 NUM iajs-2617 99 107 0.279 0.279 NUM iajs-2617 99 108 32 32 NUM iajs-2617 99 109 278 278 NUM iajs-2617 99 110 0.666 0.666 NUM iajs-2617 99 111 0.724 0.724 NUM iajs-2617 99 112 0.438 0.438 NUM iajs-2617 99 113 0.664 0.664 NUM iajs-2617 99 114 91 91 NUM iajs-2617 99 115 422 422 NUM iajs-2617 99 116 0.235 0.235 NUM iajs-2617 99 117 0.269 0.269 NUM iajs-2617 99 118 0.286 0.286 NUM iajs-2617 99 119 0.279 0.279 NUM iajs-2617 99 120 33 33 NUM iajs-2617 99 121 281 281 NUM iajs-2617 99 122 0.657 0.657 NUM iajs-2617 99 123 0.717 0.717 NUM iajs-2617 99 124 0.435 0.435 NUM iajs-2617 99 125 0.654 0.654 NUM iajs-2617 99 126 92 92 NUM iajs-2617 99 127 423 423 NUM iajs-2617 99 128 0.232 0.232 NUM iajs-2617 99 129 0.266 0.266 NUM iajs-2617 99 130 0.285 0.285 NUM iajs-2617 99 131 0.278 0.278 NUM iajs-2617 99 132 34 34 NUM iajs-2617 99 133 290 290 NUM iajs-2617 99 134 0.630 0.630 NUM iajs-2617 99 135 0.695 0.695 NUM iajs-2617 99 136 0.423 0.423 NUM iajs-2617 99 137 0.626 0.626 NUM iajs-2617 99 138 93 93 NUM iajs-2617 99 139 427 427 NUM iajs-2617 99 140 0.222 0.222 NUM iajs-2617 99 141 0.252 0.252 NUM iajs-2617 99 142 0.282 0.282 NUM iajs-2617 99 143 0.270 0.270 NUM iajs-2617 99 144 35 35 NUM iajs-2617 99 145 301 301 NUM iajs-2617 99 146 0.596 0.596 NUM iajs-2617 99 147 0.667 0.667 NUM iajs-2617 99 148 0.410 0.410 NUM iajs-2617 99 149 0.591 0.591 NUM iajs-2617 99 150 94 94 NUM iajs-2617 99 151 428 428 NUM iajs-2617 99 152 0.220 0.220 NUM iajs-2617 99 153 0.247 0.247 NUM iajs-2617 99 154 0.281 0.281 NUM iajs-2617 99 155 0.269 0.269 NUM iajs-2617 99 156 36 36 NUM iajs-2617 99 157 301 301 NUM iajs-2617 99 158 0.596 0.596 NUM iajs-2617 99 159 0.667 0.667 NUM iajs-2617 99 160 0.410 0.410 NUM iajs-2617 99 161 0.591 0.591 NUM iajs-2617 99 162 95 95 NUM iajs-2617 99 163 430 430 NUM iajs-2617 99 164 0.215 0.215 NUM iajs-2617 99 165 0.242 0.242 NUM iajs-2617 99 166 0.279 0.279 NUM iajs-2617 99 167 0.265 0.265 NUM iajs-2617 99 168 37 37 NUM iajs-2617 99 169 301 301 NUM iajs-2617 99 170 0.596 0.596 NUM iajs-2617 99 171 0.667 0.667 NUM iajs-2617 99 172 0.410 0.410 NUM iajs-2617 99 173 0.591 0.591 NUM iajs-2617 99 174 96 96 NUM iajs-2617 99 175 446 446 NUM iajs-2617 99 176 0.179 0.179 NUM iajs-2617 99 177 0.191 0.191 NUM iajs-2617 99 178 0.266 0.266 NUM iajs-2617 99 179 0.238 0.238 NUM iajs-2617 99 180 38 38 NUM iajs-2617 99 181 302 302 NUM iajs-2617 99 182 0.593 0.593 NUM iajs-2617 99 183 0.665 0.665 NUM iajs-2617 99 184 0.408 0.408 NUM iajs-2617 99 185 0.588 0.588 NUM iajs-2617 99 186 97 97 NUM iajs-2617 99 187 450 450 NUM iajs-2617 99 188 0.171 0.171 NUM iajs-2617 99 189 0.178 0.178 NUM iajs-2617 99 190 0.263 0.263 NUM iajs-2617 99 191 0.232 0.232 NUM iajs-2617 99 192 39 39 NUM iajs-2617 99 193 304 304 NUM iajs-2617 99 194 0.587 0.587 NUM iajs-2617 99 195 0.659 0.659 NUM iajs-2617 99 196 0.406 0.406 NUM iajs-2617 99 197 0.582 0.582 NUM iajs-2617 99 198 98 98 NUM iajs-2617 99 199 454 454 NUM iajs-2617 99 200 0.163 0.163 NUM iajs-2617 99 201 0.167 0.167 NUM iajs-2617 99 202 0.260 0.260 NUM iajs-2617 99 203 0.226 0.226 NUM iajs-2617 99 204 40 40 NUM iajs-2617 99 205 304 304 NUM iajs-2617 99 206 0.587 0.587 NUM iajs-2617 99 207 0.659 0.659 NUM iajs-2617 99 208 0.406 0.406 NUM iajs-2617 99 209 0.582 0.582 NUM iajs-2617 99 210 99 99 NUM iajs-2617 99 211 416 416 NUM iajs-2617 99 212 0.249 0.249 NUM iajs-2617 99 213 0.289 0.289 NUM iajs-2617 99 214 0.291 0.291 NUM iajs-2617 99 215 0.291 0.291 NUM iajs-2617 99 216 41 41 NUM iajs-2617 99 217 306 306 NUM iajs-2617 99 218 0.581 0.581 NUM iajs-2617 99 219 0.654 0.654 NUM iajs-2617 99 220 0.404 0.404 NUM iajs-2617 99 221 0.576 0.576 NUM iajs-2617 99 222 100 100 NUM iajs-2617 99 223 463 463 NUM iajs-2617 99 224 0.146 0.146 NUM iajs-2617 99 225 0.141 0.141 NUM iajs-2617 99 226 0.253 0.253 NUM iajs-2617 99 227 0.213 0.213 NUM iajs-2617 99 228 42 42 NUM iajs-2617 99 229 307 307 NUM iajs-2617 99 230 0.577 0.577 NUM iajs-2617 99 231 0.651 0.651 NUM iajs-2617 99 232 0.402 0.402 NUM iajs-2617 99 233 0.573 0.573 NUM iajs-2617 100 1 101 101 NUM iajs-2617 100 2 470 470 NUM iajs-2617 100 3 0.133 0.133 NUM iajs-2617 100 4 0.123 0.123 NUM iajs-2617 100 5 0.248 0.248 NUM iajs-2617 100 6 0.203 0.203 NUM iajs-2617 100 7 43 43 NUM iajs-2617 100 8 307 307 NUM iajs-2617 100 9 0.577 0.577 NUM iajs-2617 100 10 0.651 0.651 NUM iajs-2617 100 11 0.402 0.402 NUM iajs-2617 100 12 0.573 0.573 NUM iajs-2617 100 13 102 102 NUM iajs-2617 100 14 477 477 NUM iajs-2617 100 15 0.122 0.122 NUM iajs-2617 100 16 0.106 0.106 NUM iajs-2617 100 17 0.243 0.243 NUM iajs-2617 100 18 0.194 0.194 NUM iajs-2617 100 19 44 44 NUM iajs-2617 100 20 308 308 NUM iajs-2617 100 21 0.574 0.574 NUM iajs-2617 100 22 0.649 0.649 NUM iajs-2617 100 23 0.401 0.401 NUM iajs-2617 100 24 0.569 0.569 NUM iajs-2617 100 25 103 103 NUM iajs-2617 100 26 481 481 NUM iajs-2617 100 27 0.115 0.115 NUM iajs-2617 100 28 0.097 0.097 NUM iajs-2617 100 29 0.240 0.240 NUM iajs-2617 100 30 0.189 0.189 NUM iajs-2617 100 31 45 45 NUM iajs-2617 100 32 313 313 NUM iajs-2617 100 33 0.558 0.558 NUM iajs-2617 100 34 0.635 0.635 NUM iajs-2617 100 35 0.395 0.395 NUM iajs-2617 100 36 0.554 0.554 NUM iajs-2617 100 37 104 104 NUM iajs-2617 100 38 481 481 NUM iajs-2617 100 39 0.115 0.115 NUM iajs-2617 100 40 0.097 0.097 NUM iajs-2617 100 41 0.240 0.240 NUM iajs-2617 101 1 0.189 0.189 NUM iajs-2617 101 2 46 46 NUM iajs-2617 101 3 313 313 NUM iajs-2617 101 4 0.558 0.558 NUM iajs-2617 101 5 0.635 0.635 NUM iajs-2617 101 6 0.395 0.395 NUM iajs-2617 101 7 0.554 0.554 NUM iajs-2617 101 8 105 105 NUM iajs-2617 101 9 483 483 NUM iajs-2617 101 10 0.112 0.112 NUM iajs-2617 101 11 0.093 0.093 NUM iajs-2617 101 12 0.239 0.239 NUM iajs-2617 101 13 0.186 0.186 NUM iajs-2617 101 14 47 47 NUM iajs-2617 101 15 314 314 NUM iajs-2617 101 16 0.555 0.555 NUM iajs-2617 101 17 0.632 0.632 NUM iajs-2617 101 18 0.394 0.394 NUM iajs-2617 101 19 0.551 0.551 NUM iajs-2617 101 20 106 106 NUM iajs-2617 101 21 483 483 NUM iajs-2617 101 22 0.112 0.112 NUM iajs-2617 101 23 0.093 0.093 NUM iajs-2617 101 24 0.239 0.239 NUM iajs-2617 101 25 0.186 0.186 NUM iajs-2617 101 26 48 48 NUM iajs-2617 101 27 318 318 NUM iajs-2617 101 28 0.542 0.542 NUM iajs-2617 101 29 0.621 0.621 NUM iajs-2617 101 30 0.389 0.389 NUM iajs-2617 101 31 0.539 0.539 NUM iajs-2617 101 32 107 107 NUM iajs-2617 101 33 497 497 NUM iajs-2617 101 34 0.092 0.092 NUM iajs-2617 101 35 0.066 0.066 NUM iajs-2617 101 36 0.229 0.229 NUM iajs-2617 101 37 0.170 0.170 NUM iajs-2617 101 38 49 49 NUM iajs-2617 101 39 330 330 NUM iajs-2617 101 40 0.504 0.504 NUM iajs-2617 101 41 0.585 0.585 NUM iajs-2617 101 42 0.376 0.376 NUM iajs-2617 101 43 0.503 0.503 NUM iajs-2617 101 44 108 108 NUM iajs-2617 101 45 511 511 NUM iajs-2617 101 46 0.074 0.074 NUM iajs-2617 101 47 0.044 0.044 NUM iajs-2617 101 48 0.220 0.220 NUM iajs-2617 101 49 0.155 0.155 NUM iajs-2617 101 50 50 50 NUM iajs-2617 101 51 331 331 NUM iajs-2617 101 52 0.501 0.501 NUM iajs-2617 101 53 0.582 0.582 NUM iajs-2617 101 54 0.375 0.375 NUM iajs-2617 101 55 0.499 0.499 NUM iajs-2617 101 56 109 109 NUM iajs-2617 101 57 512 512 NUM iajs-2617 101 58 0.073 0.073 NUM iajs-2617 101 59 0.043 0.043 NUM iajs-2617 101 60 0.219 0.219 NUM iajs-2617 101 61 0.154 0.154 NUM iajs-2617 101 62 51 51 NUM iajs-2617 101 63 332 332 NUM iajs-2617 101 64 0.498 0.498 NUM iajs-2617 101 65 0.579 0.579 NUM iajs-2617 101 66 0.374 0.374 NUM iajs-2617 101 67 0.497 0.497 NUM iajs-2617 101 68 110 110 NUM iajs-2617 101 69 512 512 NUM iajs-2617 101 70 0.073 0.073 NUM iajs-2617 101 71 0.043 0.043 NUM iajs-2617 101 72 0.219 0.219 NUM iajs-2617 101 73 0.154 0.154 NUM iajs-2617 101 74 52 52 NUM iajs-2617 101 75 332 332 NUM iajs-2617 101 76 0.498 0.498 NUM iajs-2617 101 77 0.579 0.579 NUM iajs-2617 101 78 0.374 0.374 NUM iajs-2617 101 79 0.497 0.497 NUM iajs-2617 101 80 111 111 NUM iajs-2617 101 81 516 516 NUM iajs-2617 101 82 0.069 0.069 NUM iajs-2617 101 83 0.038 0.038 NUM iajs-2617 101 84 0.216 0.216 NUM iajs-2617 101 85 0.150 0.150 NUM iajs-2617 101 86 53 53 NUM iajs-2617 101 87 334 334 NUM iajs-2617 101 88 0.491 0.491 NUM iajs-2617 101 89 0.573 0.573 NUM iajs-2617 101 90 0.371 0.371 NUM iajs-2617 101 91 0.491 0.491 NUM iajs-2617 101 92 112 112 NUM iajs-2617 101 93 517 517 NUM iajs-2617 101 94 0.068 0.068 NUM iajs-2617 101 95 0.037 0.037 NUM iajs-2617 101 96 0.216 0.216 NUM iajs-2617 101 97 0.149 0.149 NUM iajs-2617 101 98 54 54 NUM iajs-2617 101 99 334 334 NUM iajs-2617 101 100 0.491 0.491 NUM iajs-2617 101 101 0.573 0.573 NUM iajs-2617 101 102 0.371 0.371 NUM iajs-2617 101 103 0.491 0.491 NUM iajs-2617 101 104 113 113 NUM iajs-2617 101 105 519 519 NUM iajs-2617 101 106 0.066 0.066 NUM iajs-2617 101 107 0.034 0.034 NUM iajs-2617 101 108 0.215 0.215 NUM iajs-2617 101 109 0.148 0.148 NUM iajs-2617 101 110 55 55 NUM iajs-2617 101 111 335 335 NUM iajs-2617 101 112 0.488 0.488 NUM iajs-2617 101 113 0.569 0.569 NUM iajs-2617 101 114 0.370 0.370 NUM iajs-2617 101 115 0.488 0.488 NUM iajs-2617 101 116 114 114 NUM iajs-2617 101 117 533 533 NUM iajs-2617 101 118 0.052 0.052 NUM iajs-2617 101 119 0.021 0.021 NUM iajs-2617 101 120 0.206 0.206 NUM iajs-2617 101 121 0.135 0.135 NUM iajs-2617 101 122 56 56 NUM iajs-2617 101 123 335 335 NUM iajs-2617 101 124 0.488 0.488 NUM iajs-2617 101 125 0.569 0.569 NUM iajs-2617 101 126 0.370 0.370 NUM iajs-2617 101 127 0.488 0.488 NUM iajs-2617 101 128 115 115 NUM iajs-2617 101 129 534 534 NUM iajs-2617 101 130 0.051 0.051 NUM iajs-2617 101 131 0.021 0.021 NUM iajs-2617 101 132 0.205 0.205 NUM iajs-2617 101 133 0.134 0.134 NUM iajs-2617 101 134 57 57 NUM iajs-2617 101 135 335 335 NUM iajs-2617 101 136 0.488 0.488 NUM iajs-2617 101 137 0.569 0.569 NUM iajs-2617 101 138 0.370 0.370 NUM iajs-2617 101 139 0.488 0.488 NUM iajs-2617 101 140 116 116 NUM iajs-2617 101 141 535 535 NUM iajs-2617 101 142 0.050 0.050 NUM iajs-2617 101 143 0.19 0.19 NUM iajs-2617 101 144 0.205 0.205 NUM iajs-2617 101 145 0.133 0.133 NUM iajs-2617 101 146 58 58 NUM iajs-2617 101 147 335 335 NUM iajs-2617 101 148 0.488 0.488 NUM iajs-2617 101 149 0.569 0.569 NUM iajs-2617 101 150 0.370 0.370 NUM iajs-2617 101 151 0.488 0.488 NUM iajs-2617 101 152 117 117 NUM iajs-2617 101 153 540 540 NUM iajs-2617 101 154 0.046 0.046 NUM iajs-2617 101 155 0.016 0.016 NUM iajs-2617 101 156 0.202 0.202 NUM iajs-2617 101 157 0.129 0.129 NUM iajs-2617 101 158 59 59 NUM iajs-2617 101 159 338 338 NUM iajs-2617 101 160 0.479 0.479 NUM iajs-2617 101 161 0.560 0.560 NUM iajs-2617 101 162 0.367 0.367 NUM iajs-2617 101 163 0.479 0.479 NUM iajs-2617 101 164 118 118 NUM iajs-2617 101 165 550 550 NUM iajs-2617 101 166 0.039 0.039 NUM iajs-2617 101 167 0.010 0.010 NUM iajs-2617 101 168 0.196 0.196 NUM iajs-2617 101 169 0.121 0.121 NUM iajs-2617 101 170 117 117 NUM iajs-2617 101 171 ibn ibn PROPN iajs-2617 101 172 al al PROPN iajs-2617 101 173 - - PUNCT iajs-2617 101 174 haitham haitham PROPN iajs-2617 101 175 jour jour X iajs-2617 101 176 . . PROPN iajs-2617 102 1 for for ADP iajs-2617 102 2 pure pure ADJ iajs-2617 102 3 & & CCONJ iajs-2617 102 4 appl appl PROPN iajs-2617 102 5 . . PUNCT iajs-2617 103 1 sci sci PROPN iajs-2617 103 2 . . PROPN iajs-2617 104 1 34 34 NUM iajs-2617 104 2 ( ( PUNCT iajs-2617 104 3 2 2 NUM iajs-2617 104 4 ) ) PUNCT iajs-2617 104 5 2021 2021 NUM iajs-2617 104 6 table table NOUN iajs-2617 104 7 3 3 NUM iajs-2617 104 8 . . PUNCT iajs-2617 104 9 criteria criterion NOUN iajs-2617 104 10 for for ADP iajs-2617 104 11 comparison comparison NOUN iajs-2617 104 12 ๐‘€๐‘œ๐‘‘๐‘’๐‘™ ๐‘€๐‘œ๐‘‘๐‘’๐‘™ PROPN iajs-2617 104 13 โˆ’๐ฟ๐ฟ โˆ’๐ฟ๐ฟ ADJ iajs-2617 104 14 ๐ด๐ผ๐ถ ๐ด๐ผ๐ถ PROPN iajs-2617 104 15 ๐ด๐ผ๐ถ๐ถ ๐ด๐ผ๐ถ๐ถ PROPN iajs-2617 104 16 ๐ต๐ผ๐ถ ๐ต๐ผ๐ถ NOUN iajs-2617 104 17 ๐‘Š๐‘’๐‘–๐‘๐‘ข๐‘™๐‘™ ๐‘Š๐‘’๐‘–๐‘๐‘ข๐‘™๐‘™ PROPN iajs-2617 104 18 737.89 737.89 NUM iajs-2617 104 19 1479.78 1479.78 NUM iajs-2617 104 20 1479.88 1479.88 NUM iajs-2617 104 21 1479.92 1479.92 NUM iajs-2617 104 22 ๐บ๐‘ข๐‘š๐‘๐‘’๐‘™ ๐บ๐‘ข๐‘š๐‘๐‘’๐‘™ PROPN iajs-2617 104 23 ๐ธ๐‘ฅ๐‘๐‘œ๐‘›๐‘’๐‘›๐‘ก๐‘–๐‘Ž๐‘™ ๐ธ๐‘ฅ๐‘๐‘œ๐‘›๐‘’๐‘›๐‘ก๐‘–๐‘Ž๐‘™ PROPN iajs-2617 104 24 729.93 729.93 NUM iajs-2617 104 25 804.82 804.82 NUM iajs-2617 104 26 1463.86 1463.86 NUM iajs-2617 104 27 1611.65 1611.65 NUM iajs-2617 104 28 1463.96 1463.96 NUM iajs-2617 104 29 1611.68 1611.68 NUM iajs-2617 104 30 1464.00 1464.00 NUM iajs-2617 104 31 1611.71 1611.71 NUM iajs-2617 104 32 ๐ฟ๐‘œ๐‘” ๐ฟ๐‘œ๐‘” PROPN iajs-2617 104 33 โˆ’ โˆ’ PROPN iajs-2617 104 34 ๐‘™๐‘œ๐‘”๐‘–๐‘ ๐‘ก๐‘–๐‘ ๐‘™๐‘œ๐‘”๐‘–๐‘ ๐‘ก๐‘–๐‘ NOUN iajs-2617 104 35 757.03 757.03 NUM iajs-2617 104 36 1518.06 1518.06 NUM iajs-2617 104 37 1518.16 1518.16 NUM iajs-2617 104 38 1518.20 1518.20 NUM iajs-2617 104 39 the the DET iajs-2617 104 40 results result NOUN iajs-2617 104 41 in in ADP iajs-2617 104 42 table table NOUN iajs-2617 104 43 3 3 NUM iajs-2617 104 44 indicate indicate VERB iajs-2617 104 45 that that SCONJ iajs-2617 104 46 the the DET iajs-2617 104 47 ๐บ๐‘ข๐‘š๐‘๐‘’๐‘™ ๐บ๐‘ข๐‘š๐‘๐‘’๐‘™ PROPN iajs-2617 104 48 distribution distribution NOUN iajs-2617 104 49 has have VERB iajs-2617 104 50 the the DET iajs-2617 104 51 lowest low ADJ iajs-2617 104 52 ๐ด๐ผ๐ถ ๐ด๐ผ๐ถ PROPN iajs-2617 104 53 , , PUNCT iajs-2617 104 54 ๐ด๐ผ๐ถ๐ถ ๐ด๐ผ๐ถ๐ถ PROPN iajs-2617 104 55 and and CCONJ iajs-2617 104 56 ๐ต๐ผ๐ถ ๐ต๐ผ๐ถ NOUN iajs-2617 104 57 values value NOUN iajs-2617 104 58 than than ADP iajs-2617 104 59 the the DET iajs-2617 104 60 weibull weibull NOUN iajs-2617 104 61 , , PUNCT iajs-2617 104 62 loglogistic loglogistic ADJ iajs-2617 104 63 , , PUNCT iajs-2617 104 64 and and CCONJ iajs-2617 104 65 exponential exponential NOUN iajs-2617 104 66 . . PUNCT iajs-2617 105 1 hence hence ADV iajs-2617 105 2 gumbel gumbel PROPN iajs-2617 105 3 distribution distribution NOUN iajs-2617 105 4 leads lead VERB iajs-2617 105 5 to to ADP iajs-2617 105 6 a a DET iajs-2617 105 7 better well ADV iajs-2617 105 8 fit fit ADJ iajs-2617 105 9 than than ADP iajs-2617 105 10 the the DET iajs-2617 105 11 other other ADJ iajs-2617 105 12 three three NUM iajs-2617 105 13 distributions distribution NOUN iajs-2617 105 14 . . PUNCT iajs-2617 106 1 6 6 X iajs-2617 106 2 . . X iajs-2617 106 3 conclusions conclusion NOUN iajs-2617 106 4 from from ADP iajs-2617 106 5 the the DET iajs-2617 106 6 practical practical ADJ iajs-2617 106 7 work work NOUN iajs-2617 106 8 , , PUNCT iajs-2617 106 9 it it PRON iajs-2617 106 10 is be AUX iajs-2617 106 11 concluded conclude VERB iajs-2617 106 12 that that SCONJ iajs-2617 106 13 the the DET iajs-2617 106 14 gumbel gumbel PROPN iajs-2617 106 15 distribution distribution NOUN iajs-2617 106 16 has have VERB iajs-2617 106 17 the the DET iajs-2617 106 18 lowest low ADJ iajs-2617 106 19 ๐ด๐ผ๐ถ ๐ด๐ผ๐ถ PROPN iajs-2617 106 20 , , PUNCT iajs-2617 106 21 ๐ด๐ผ๐ถ๐ถ ๐ด๐ผ๐ถ๐ถ PROPN iajs-2617 106 22 and and CCONJ iajs-2617 106 23 ๐ต๐ผ๐ถ ๐ต๐ผ๐ถ NOUN iajs-2617 106 24 values value NOUN iajs-2617 106 25 than than ADP iajs-2617 106 26 the the DET iajs-2617 106 27 weibull weibull NOUN iajs-2617 106 28 , , PUNCT iajs-2617 106 29 exponential exponential NOUN iajs-2617 106 30 , , PUNCT iajs-2617 106 31 and and CCONJ iajs-2617 106 32 loglogistic loglogistic ADJ iajs-2617 106 33 distributions distribution NOUN iajs-2617 106 34 . . PUNCT iajs-2617 107 1 we we PRON iajs-2617 107 2 conclude conclude VERB iajs-2617 107 3 that that SCONJ iajs-2617 107 4 the the DET iajs-2617 107 5 survival survival NOUN iajs-2617 107 6 function function VERB iajs-2617 107 7 for for ADP iajs-2617 107 8 the the DET iajs-2617 107 9 lung lung NOUN iajs-2617 107 10 cancer cancer NOUN iajs-2617 107 11 by by ADP iajs-2617 107 12 using use VERB iajs-2617 107 13 gumbel gumbel NOUN iajs-2617 107 14 distribution distribution NOUN iajs-2617 107 15 model model NOUN iajs-2617 107 16 is be AUX iajs-2617 107 17 the the DET iajs-2617 107 18 best good ADJ iajs-2617 107 19 . . PUNCT iajs-2617 108 1 and and CCONJ iajs-2617 108 2 the the DET iajs-2617 108 3 expected expect VERB iajs-2617 108 4 values value NOUN iajs-2617 108 5 of of ADP iajs-2617 108 6 the the DET iajs-2617 108 7 survival survival NOUN iajs-2617 108 8 function function NOUN iajs-2617 108 9 of of ADP iajs-2617 108 10 all all DET iajs-2617 108 11 estimation estimation NOUN iajs-2617 108 12 methods method NOUN iajs-2617 108 13 which which PRON iajs-2617 108 14 are be AUX iajs-2617 108 15 proposed propose VERB iajs-2617 108 16 in in ADP iajs-2617 108 17 this this DET iajs-2617 108 18 article article NOUN iajs-2617 108 19 has have AUX iajs-2617 108 20 been be AUX iajs-2617 108 21 decreasing decrease VERB iajs-2617 108 22 progressively progressively ADV iajs-2617 108 23 with with ADP iajs-2617 108 24 increasing increase VERB iajs-2617 108 25 failure failure NOUN iajs-2617 108 26 times time NOUN iajs-2617 108 27 for for ADP iajs-2617 108 28 lung lung NOUN iajs-2617 108 29 cancer cancer NOUN iajs-2617 108 30 patients patient NOUN iajs-2617 108 31 : : PUNCT iajs-2617 108 32 this this PRON iajs-2617 108 33 means mean VERB iajs-2617 108 34 that that SCONJ iajs-2617 108 35 there there PRON iajs-2617 108 36 is be VERB iajs-2617 108 37 an an DET iajs-2617 108 38 opposite opposite ADJ iajs-2617 108 39 relationship relationship NOUN iajs-2617 108 40 failure failure NOUN iajs-2617 108 41 times time NOUN iajs-2617 108 42 and and CCONJ iajs-2617 108 43 survival survival PROPN iajs-2617 108 44 function function NOUN iajs-2617 108 45 . . PUNCT iajs-2617 109 1 references reference NOUN iajs-2617 109 2 1 1 NUM iajs-2617 109 3 . . PUNCT iajs-2617 110 1 mohammed mohammed PROPN iajs-2617 110 2 , , PUNCT iajs-2617 110 3 a. a. NOUN iajs-2617 110 4 m. m. NOUN iajs-2617 110 5 , , PUNCT iajs-2617 110 6 shao shao PROPN iajs-2617 110 7 t. t. PROPN iajs-2617 110 8 , , PUNCT iajs-2617 110 9 expected expect VERB iajs-2617 110 10 the the DET iajs-2617 110 11 life life NOUN iajs-2617 110 12 time time NOUN iajs-2617 110 13 for for ADP iajs-2617 110 14 heart heart NOUN iajs-2617 110 15 patients patient NOUN iajs-2617 110 16 by by ADP iajs-2617 110 17 using use VERB iajs-2617 110 18 cox cox PROPN iajs-2617 110 19 regression regression PROPN iajs-2617 110 20 model model NOUN iajs-2617 110 21 , , PUNCT iajs-2617 110 22 international international ADJ iajs-2617 110 23 journal journal NOUN iajs-2617 110 24 of of ADP iajs-2617 110 25 applied apply VERB iajs-2617 110 26 research research NOUN iajs-2617 110 27 , , PUNCT iajs-2617 110 28 2015 2015 NUM iajs-2617 110 29 , , PUNCT iajs-2617 110 30 1 1 NUM iajs-2617 110 31 , , PUNCT iajs-2617 110 32 9 9 NUM iajs-2617 110 33 , , PUNCT iajs-2617 110 34 883 883 NUM iajs-2617 110 35 - - SYM iajs-2617 110 36 889 889 NUM iajs-2617 110 37 . . PUNCT iajs-2617 110 38 2 2 X iajs-2617 110 39 . . X iajs-2617 110 40 merovci merovci PROPN iajs-2617 110 41 , , PUNCT iajs-2617 110 42 f. f. PROPN iajs-2617 110 43 , , PUNCT iajs-2617 110 44 transmuted transmute VERB iajs-2617 110 45 generalized generalized ADJ iajs-2617 110 46 rayleigh rayleigh NOUN iajs-2617 110 47 distribution distribution NOUN iajs-2617 110 48 , , PUNCT iajs-2617 110 49 journal journal NOUN iajs-2617 110 50 of of ADP iajs-2617 110 51 statistics statistic NOUN iajs-2617 110 52 applications application NOUN iajs-2617 110 53 and and CCONJ iajs-2617 110 54 probability probability NOUN iajs-2617 110 55 , , PUNCT iajs-2617 110 56 2014 2014 NUM iajs-2617 110 57 , , PUNCT iajs-2617 110 58 3 3 NUM iajs-2617 110 59 , , PUNCT iajs-2617 110 60 1 1 NUM iajs-2617 110 61 , , PUNCT iajs-2617 110 62 9 9 NUM iajs-2617 110 63 - - SYM iajs-2617 110 64 20 20 NUM iajs-2617 110 65 , , PUNCT iajs-2617 110 66 htt://dx.doi.org/10.12785/jsap/030102 htt://dx.doi.org/10.12785/jsap/030102 PROPN iajs-2617 110 67 . . PUNCT iajs-2617 111 1 3 3 X iajs-2617 111 2 . . X iajs-2617 112 1 zhu zhu PROPN iajs-2617 112 2 , , PUNCT iajs-2617 112 3 h. h. PROPN iajs-2617 112 4 p. p. PROPN iajs-2617 112 5 et et PROPN iajs-2617 113 1 al al PROPN iajs-2617 113 2 . . PROPN iajs-2617 113 3 , , PUNCT iajs-2617 113 4 application application NOUN iajs-2617 113 5 of of ADP iajs-2617 113 6 weibull weibull PROPN iajs-2617 113 7 model model NOUN iajs-2617 113 8 for for ADP iajs-2617 113 9 survival survival NOUN iajs-2617 113 10 of of ADP iajs-2617 113 11 patients patient NOUN iajs-2617 113 12 with with ADP iajs-2617 113 13 gastric gastric ADJ iajs-2617 113 14 cancer cancer NOUN iajs-2617 113 15 , , PUNCT iajs-2617 113 16 bmc bmc NOUN iajs-2617 113 17 gastro gastro NOUN iajs-2617 113 18 enter enter VERB iajs-2617 113 19 bogy bogy NOUN iajs-2617 113 20 , , PUNCT iajs-2617 113 21 2011 2011 NUM iajs-2617 113 22 , , PUNCT iajs-2617 113 23 11 11 NUM iajs-2617 113 24 , , PUNCT iajs-2617 113 25 . . PUNCT iajs-2617 114 1 1 1 NUM iajs-2617 114 2 , , PUNCT iajs-2617 114 3 http://www.biomdcentral http://www.biomdcentral ADJ iajs-2617 114 4 . . PUNCT iajs-2617 115 1 4 4 X iajs-2617 115 2 . . X iajs-2617 115 3 abernethy abernethy ADJ iajs-2617 115 4 , , PUNCT iajs-2617 115 5 r. r. PROPN iajs-2617 115 6 b. b. PROPN iajs-2617 115 7 , , PUNCT iajs-2617 115 8 the the DET iajs-2617 115 9 new new ADJ iajs-2617 115 10 weibull weibull PROPN iajs-2617 115 11 hand hand NOUN iajs-2617 115 12 book book NOUN iajs-2617 115 13 , , PUNCT iajs-2617 115 14 ch.1 ch.1 PROPN iajs-2617 115 15 , , PUNCT iajs-2617 115 16 an an DET iajs-2617 115 17 over over ADP iajs-2617 115 18 view view NOUN iajs-2617 115 19 of of ADP iajs-2617 115 20 weibull weibull PROPN iajs-2617 115 21 analysis analysis NOUN iajs-2617 115 22 , , PUNCT iajs-2617 115 23 2006 2006 NUM iajs-2617 115 24 , , PUNCT iajs-2617 115 25 http://www.barringer1.com/pdf/chpt1-5th-edition.pdf http://www.barringer1.com/pdf/chpt1-5th-edition.pdf X iajs-2617 115 26 5 5 NUM iajs-2617 115 27 . . PUNCT iajs-2617 115 28 akhtar akhtar PROPN iajs-2617 115 29 , , PUNCT iajs-2617 115 30 m. m. NOUN iajs-2617 115 31 ; ; PUNCT iajs-2617 115 32 khan khan PROPN iajs-2617 115 33 , , PUNCT iajs-2617 115 34 a. a. PROPN iajs-2617 115 35 , , PUNCT iajs-2617 115 36 a. a. NOUN iajs-2617 115 37 loglogistic loglogistic ADJ iajs-2617 115 38 distribution distribution NOUN iajs-2617 115 39 as as ADP iajs-2617 115 40 a a DET iajs-2617 115 41 reliability reliability NOUN iajs-2617 115 42 model model NOUN iajs-2617 115 43 : : PUNCT iajs-2617 115 44 a a DET iajs-2617 115 45 bayesian bayesian NOUN iajs-2617 115 46 analysis analysis NOUN iajs-2617 115 47 , , PUNCT iajs-2617 115 48 american american ADJ iajs-2617 115 49 journal journal NOUN iajs-2617 115 50 of of ADP iajs-2617 115 51 mathematics mathematics PROPN iajs-2617 115 52 and and CCONJ iajs-2617 115 53 statistics statistic NOUN iajs-2617 115 54 , , PUNCT iajs-2617 115 55 2014 2014 NUM iajs-2617 115 56 , , PUNCT iajs-2617 115 57 4 4 NUM iajs-2617 115 58 , , PUNCT iajs-2617 115 59 3 3 NUM iajs-2617 115 60 , , PUNCT iajs-2617 115 61 162170 162170 NUM iajs-2617 115 62 , , PUNCT iajs-2617 115 63 doi:10.5923 doi:10.5923 PROPN iajs-2617 115 64 / / PUNCT iajs-2617 115 65 j.ajms20140403.05 j.ajms20140403.05 PROPN iajs-2617 115 66 . . PUNCT iajs-2617 116 1 6 6 NUM iajs-2617 116 2 . . X iajs-2617 116 3 salman salman PROPN iajs-2617 116 4 , , PUNCT iajs-2617 116 5 a. a. NOUN iajs-2617 116 6 n. n. PROPN iajs-2617 116 7 ; ; PUNCT iajs-2617 116 8 farhan farhan PROPN iajs-2617 116 9 , , PUNCT iajs-2617 116 10 i. i. PROPN iajs-2617 116 11 h. h. PROPN iajs-2617 116 12 , , PUNCT iajs-2617 116 13 estimate estimate VERB iajs-2617 116 14 complete complete VERB iajs-2617 116 15 the the DET iajs-2617 116 16 survival survival NOUN iajs-2617 116 17 function function NOUN iajs-2617 116 18 for for ADP iajs-2617 116 19 real real ADJ iajs-2617 116 20 data datum NOUN iajs-2617 116 21 of of ADP iajs-2617 116 22 lung lung NOUN iajs-2617 116 23 cancer cancer NOUN iajs-2617 116 24 patients patient NOUN iajs-2617 116 25 , , PUNCT iajs-2617 116 26 ibn ibn PROPN iajs-2617 116 27 al al PROPN iajs-2617 116 28 - - PUNCT iajs-2617 116 29 haitham haitham PROPN iajs-2617 116 30 journal journal PROPN iajs-2617 116 31 for for ADP iajs-2617 116 32 pure pure ADJ iajs-2617 116 33 & & CCONJ iajs-2617 116 34 applied applied ADJ iajs-2617 116 35 sciences science NOUN iajs-2617 116 36 , , PUNCT iajs-2617 116 37 2014 2014 NUM iajs-2617 116 38 , , PUNCT iajs-2617 116 39 27 27 NUM iajs-2617 116 40 , , PUNCT iajs-2617 116 41 3 3 NUM iajs-2617 116 42 , , PUNCT iajs-2617 116 43 531 531 NUM iajs-2617 116 44 - - SYM iajs-2617 116 45 541 541 NUM iajs-2617 116 46 . . PUNCT iajs-2617 117 1 7 7 X iajs-2617 117 2 . . X iajs-2617 117 3 yong yong PROPN iajs-2617 117 4 , , PUNCT iajs-2617 117 5 t. t. PROPN iajs-2617 117 6 , , PUNCT iajs-2617 117 7 extended extend VERB iajs-2617 117 8 weibull weibull NOUN iajs-2617 117 9 distributions distribution NOUN iajs-2617 117 10 in in ADP iajs-2617 117 11 reliability reliability NOUN iajs-2617 117 12 engineering engineering NOUN iajs-2617 117 13 , , PUNCT iajs-2617 117 14 phd phd PROPN iajs-2617 117 15 . . PUNCT iajs-2617 118 1 theses theses PROPN iajs-2617 118 2 , , PUNCT iajs-2617 118 3 2004 2004 NUM iajs-2617 118 4 , , PUNCT iajs-2617 118 5 national national ADJ iajs-2617 118 6 university university PROPN iajs-2617 118 7 of of ADP iajs-2617 118 8 singapore singapore PROPN iajs-2617 118 9 . . PUNCT iajs-2617 119 1 http://www.biomdcentral/ http://www.biomdcentral/ PROPN iajs-2617 119 2 http://www.barringer1.com/pdf/chpt1-5th-edition.pdf http://www.barringer1.com/pdf/chpt1-5th-edition.pdf PROPN iajs-2617 119 3 118 118 NUM iajs-2617 119 4 ibn ibn PROPN iajs-2617 119 5 al al PROPN iajs-2617 119 6 - - PUNCT iajs-2617 119 7 haitham haitham PROPN iajs-2617 119 8 jour jour X iajs-2617 119 9 . . PROPN iajs-2617 120 1 for for ADP iajs-2617 120 2 pure pure ADJ iajs-2617 120 3 & & CCONJ iajs-2617 120 4 appl appl PROPN iajs-2617 120 5 . . PUNCT iajs-2617 121 1 sci sci PROPN iajs-2617 121 2 . . PROPN iajs-2617 122 1 34 34 NUM iajs-2617 122 2 ( ( PUNCT iajs-2617 122 3 2 2 NUM iajs-2617 122 4 ) ) PUNCT iajs-2617 122 5 2021 2021 NUM iajs-2617 122 6 8 8 NUM iajs-2617 122 7 . . PUNCT iajs-2617 123 1 rausand rausand PROPN iajs-2617 123 2 , , PUNCT iajs-2617 123 3 m. m. NOUN iajs-2617 123 4 ; ; PUNCT iajs-2617 123 5 hoyland hoyland PROPN iajs-2617 123 6 , , PUNCT iajs-2617 123 7 a. a. NOUN iajs-2617 123 8 , , PUNCT iajs-2617 123 9 system system NOUN iajs-2617 123 10 reliability reliability NOUN iajs-2617 123 11 theory theory NOUN iajs-2617 123 12 models model NOUN iajs-2617 123 13 , , PUNCT iajs-2617 123 14 statistical statistical ADJ iajs-2617 123 15 methods method NOUN iajs-2617 123 16 , , PUNCT iajs-2617 123 17 and and CCONJ iajs-2617 123 18 applications application NOUN iajs-2617 123 19 , , PUNCT iajs-2617 123 20 2nd 2nd PROPN iajs-2617 123 21 edition edition NOUN iajs-2617 123 22 , , PUNCT iajs-2617 123 23 2004 2004 NUM iajs-2617 123 24 , , PUNCT iajs-2617 123 25 john john PROPN iajs-2617 123 26 wiley wiley PROPN iajs-2617 123 27 & & CCONJ iajs-2617 123 28 sons sons PROPN iajs-2617 123 29 , , PUNCT iajs-2617 123 30 inc inc PROPN iajs-2617 123 31 , , PUNCT iajs-2617 123 32 canada canada PROPN iajs-2617 123 33 , , PUNCT iajs-2617 123 34 isbn isbn ADJ iajs-2617 123 35 0 0 NUM iajs-2617 123 36 - - SYM iajs-2617 123 37 47147133 47147133 NUM iajs-2617 123 38 - - PUNCT iajs-2617 123 39 x. x. NOUN iajs-2617 123 40 9 9 NUM iajs-2617 123 41 . . PUNCT iajs-2617 124 1 chen chen PROPN iajs-2617 124 2 , , PUNCT iajs-2617 124 3 m. m. NOUN iajs-2617 124 4 ; ; PUNCT iajs-2617 124 5 zhang zhang PROPN iajs-2617 124 6 , , PUNCT iajs-2617 124 7 z. z. PROPN iajs-2617 124 8 ; ; PUNCT iajs-2617 124 9 cui cui PROPN iajs-2617 124 10 , , PUNCT iajs-2617 124 11 c. c. PROPN iajs-2617 124 12 , , PUNCT iajs-2617 124 13 on on ADP iajs-2617 124 14 the the DET iajs-2617 124 15 bias bias NOUN iajs-2617 124 16 of of ADP iajs-2617 124 17 the the DET iajs-2617 124 18 maximum maximum ADJ iajs-2617 124 19 likelihood likelihood NOUN iajs-2617 124 20 estimators estimator NOUN iajs-2617 124 21 of of ADP iajs-2617 124 22 parameters parameter NOUN iajs-2617 124 23 of of ADP iajs-2617 124 24 the the DET iajs-2617 124 25 weibull weibull PROPN iajs-2617 124 26 distribution distribution NOUN iajs-2617 124 27 , , PUNCT iajs-2617 124 28 mathematical mathematical ADJ iajs-2617 124 29 and and CCONJ iajs-2617 124 30 computational computational ADJ iajs-2617 124 31 application application NOUN iajs-2617 124 32 , , PUNCT iajs-2617 124 33 2017 2017 NUM iajs-2617 124 34 , , PUNCT iajs-2617 124 35 22 22 NUM iajs-2617 124 36 , , PUNCT iajs-2617 124 37 19 19 NUM iajs-2617 124 38 , , PUNCT iajs-2617 124 39 1 1 NUM iajs-2617 124 40 - - SYM iajs-2617 124 41 18 18 NUM iajs-2617 124 42 , , PUNCT iajs-2617 124 43 2017 2017 NUM iajs-2617 124 44 , , PUNCT iajs-2617 124 45 doi doi NOUN iajs-2617 124 46 : : PUNCT iajs-2617 124 47 103390 103390 NUM iajs-2617 124 48 / / SYM iajs-2617 124 49 mca2210019 mca2210019 X iajs-2617 124 50 . . PUNCT iajs-2617 125 1 10 10 NUM iajs-2617 125 2 . . X iajs-2617 125 3 varela varela PROPN iajs-2617 125 4 , , PUNCT iajs-2617 125 5 j. j. PROPN iajs-2617 125 6 gorgoso gorgoso PROPN iajs-2617 125 7 ; ; PUNCT iajs-2617 125 8 rojo rojo VERB iajs-2617 125 9 - - PUNCT iajs-2617 125 10 alboreca alboreca NOUN iajs-2617 125 11 , , PUNCT iajs-2617 125 12 a. a. NOUN iajs-2617 125 13 , , PUNCT iajs-2617 125 14 use use NOUN iajs-2617 125 15 of of ADP iajs-2617 125 16 gumbel gumbel PROPN iajs-2617 125 17 and and CCONJ iajs-2617 125 18 weibull weibull PROPN iajs-2617 125 19 functions function NOUN iajs-2617 125 20 to to PART iajs-2617 125 21 model model VERB iajs-2617 125 22 extreme extreme ADJ iajs-2617 125 23 values value NOUN iajs-2617 125 24 of of ADP iajs-2617 125 25 diameter diameter NOUN iajs-2617 125 26 distribution distribution NOUN iajs-2617 125 27 in in ADP iajs-2617 125 28 forest forest NOUN iajs-2617 125 29 stands stand NOUN iajs-2617 125 30 , , PUNCT iajs-2617 125 31 annals annal NOUN iajs-2617 125 32 of of ADP iajs-2617 125 33 forest forest NOUN iajs-2617 125 34 science science NOUN iajs-2617 125 35 , , PUNCT iajs-2617 125 36 2014 2014 NUM iajs-2617 125 37 , , PUNCT iajs-2617 125 38 71 71 NUM iajs-2617 125 39 , , PUNCT iajs-2617 125 40 741 741 NUM iajs-2617 125 41 - - SYM iajs-2617 125 42 750 750 NUM iajs-2617 125 43 . . PUNCT iajs-2617 125 44 11 11 NUM iajs-2617 125 45 . . PUNCT iajs-2617 125 46 deka deka NOUN iajs-2617 125 47 , , PUNCT iajs-2617 125 48 d. d. PROPN iajs-2617 125 49 , , PUNCT iajs-2617 125 50 bhanita bhanita PROPN iajs-2617 125 51 das das PROPN iajs-2617 125 52 , , PUNCT iajs-2617 125 53 b. b. PROPN iajs-2617 125 54 ; ; PUNCT iajs-2617 125 55 baruah baruah PROPN iajs-2617 125 56 , , PUNCT iajs-2617 125 57 b. b. PROPN iajs-2617 125 58 k. k. PROPN iajs-2617 125 59 , , PUNCT iajs-2617 125 60 transmuted transmute VERB iajs-2617 125 61 exponential exponential ADJ iajs-2617 125 62 gumbel gumbel NOUN iajs-2617 125 63 distribution distribution NOUN iajs-2617 125 64 and and CCONJ iajs-2617 125 65 its its PRON iajs-2617 125 66 application application NOUN iajs-2617 125 67 to to PART iajs-2617 125 68 water water NOUN iajs-2617 125 69 quality quality NOUN iajs-2617 125 70 data datum NOUN iajs-2617 125 71 , , PUNCT iajs-2617 125 72 pak.j.stat.oper.res pak.j.stat.oper.re NOUN iajs-2617 125 73 , , PUNCT iajs-2617 125 74 2017 2017 NUM iajs-2617 125 75 , , PUNCT iajs-2617 125 76 13 13 NUM iajs-2617 125 77 , , PUNCT iajs-2617 125 78 1 1 NUM iajs-2617 125 79 , , PUNCT iajs-2617 125 80 115 115 NUM iajs-2617 125 81 - - SYM iajs-2617 125 82 126 126 NUM iajs-2617 125 83 . . PUNCT iajs-2617 126 1 12 12 NUM iajs-2617 126 2 . . PUNCT iajs-2617 127 1 santana santana PROPN iajs-2617 127 2 , , PUNCT iajs-2617 127 3 t. t. PROPN iajs-2617 127 4 v. v. PROPN iajs-2617 127 5 ; ; PUNCT iajs-2617 127 6 ortega ortega PROPN iajs-2617 127 7 , , PUNCT iajs-2617 127 8 e. e. PROPN iajs-2617 127 9 m. m. PROPN iajs-2617 127 10 m. m. PROPN iajs-2617 127 11 cordeiro cordeiro PROPN iajs-2617 127 12 , , PUNCT iajs-2617 127 13 g. g. PROPN iajs-2617 127 14 m m PROPN iajs-2617 127 15 ; ; PUNCT iajs-2617 127 16 silva silva PROPN iajs-2617 127 17 , , PUNCT iajs-2617 127 18 g. g. PROPN iajs-2617 127 19 o. o. PROPN iajs-2617 127 20 , , PUNCT iajs-2617 127 21 the the DET iajs-2617 127 22 kumaraswamy kumaraswamy ADJ iajs-2617 127 23 loglogistic loglogistic ADJ iajs-2617 127 24 distribution distribution NOUN iajs-2617 127 25 , , PUNCT iajs-2617 127 26 journal journal NOUN iajs-2617 127 27 of of ADP iajs-2617 127 28 statistical statistical ADJ iajs-2617 127 29 theory theory NOUN iajs-2617 127 30 and and CCONJ iajs-2617 127 31 applications application NOUN iajs-2617 127 32 , , PUNCT iajs-2617 127 33 2012 2012 NUM iajs-2617 127 34 , , PUNCT iajs-2617 127 35 11 11 NUM iajs-2617 127 36 , , PUNCT iajs-2617 127 37 3 3 NUM iajs-2617 127 38 , , PUNCT iajs-2617 127 39 265 265 NUM iajs-2617 127 40 - - SYM iajs-2617 127 41 291 291 NUM iajs-2617 127 42 . . PUNCT iajs-2617 127 43 13 13 NUM iajs-2617 127 44 . . PUNCT iajs-2617 128 1 vllah vllah PROPN iajs-2617 128 2 , , PUNCT iajs-2617 128 3 e. e. PROPN iajs-2617 128 4 ; ; PUNCT iajs-2617 128 5 shahazad shahazad PROPN iajs-2617 128 6 , , PUNCT iajs-2617 128 7 m. m. NOUN iajs-2617 128 8 n. n. PROPN iajs-2617 128 9 , , PUNCT iajs-2617 128 10 transmutation transmutation NOUN iajs-2617 128 11 of of ADP iajs-2617 128 12 the the DET iajs-2617 128 13 two two NUM iajs-2617 128 14 parameters parameter NOUN iajs-2617 128 15 rayleigh rayleigh ADJ iajs-2617 128 16 distribution distribution NOUN iajs-2617 128 17 , , PUNCT iajs-2617 128 18 international international ADJ iajs-2617 128 19 journal journal NOUN iajs-2617 128 20 of of ADP iajs-2617 128 21 advanced advanced ADJ iajs-2617 128 22 statistics statistic NOUN iajs-2617 128 23 and and CCONJ iajs-2617 128 24 probability probability NOUN iajs-2617 128 25 , , PUNCT iajs-2617 128 26 2016 2016 NUM iajs-2617 128 27 , , PUNCT iajs-2617 128 28 4 4 NUM iajs-2617 128 29 , , PUNCT iajs-2617 128 30 2 2 NUM iajs-2617 128 31 , , PUNCT iajs-2617 128 32 95 95 NUM iajs-2617 128 33 - - SYM iajs-2617 128 34 101 101 NUM iajs-2617 128 35 , , PUNCT iajs-2617 128 36 doi:10.1419 doi:10.1419 X iajs-2617 128 37 / / SYM iajs-2617 128 38 ijasp.v4i2.6100 ijasp.v4i2.6100 NUM