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1、第36卷第2期寧夏大學(xué)學(xué)報(bào)(自然科學(xué)版)2015年6月Vol_36No．2JournalofNingxiaUniversity(Natura1ScienceEdition)Jun．2O15文章編號(hào)：0253—2328(2015)02—0115—06StatisticalInferenceofLog。_GompertzRegressionModelwithCensoredDataChengConghua，BaiLong(1．SchoolofMathematicsandComputationScience，LingnanNormalUniversi
2、ty，Zha~iang524048，China,2．SchoolofMathematicsandComputerScience，NingxiaNormalUniversity，Guyuan756000，China)Abstract：TheGompertzdistributioniswidelyappliedinmodelinghumanmortality．Inthisarticle，theregressionmodelisdiscussed，whichisbasedonthelogarithmoftheGompertzdistribution，
3、namely，log—Gompertzdistribu—tion．Themethodofmaximumlikelihoodforestimatingthemodelparametersisstudied．Thebootstrapmethodisalsoappliedtoconstructingtheconfidenceintervalofparameters．Fordifferentparametersettings，samplesizes，censoringpercentagesandvarioussimulationstudiesarepe
4、rformedtoassesstheregressionmodels．Keywords：maximumlikelihoodestimation；censoringdata；bootstrapmethodCLCnumher：0212．1；0213．22000MR：62F10；62N01Documentcode：ATheGompertzdistributionplaysanimportanthasdrawnmuchwidespreadattention[6-8]．roleinmodelinghumanmortalityandfittingactu—
5、Inthispaper，weproposeadistributioncalledarialtables．ItwasintroducedbyGompertzE．Re—log—Gompertzdistributionanddiscussitsstatisticalcently，manyauthorshaveendeavoredtothesta—inferenceproblem．Regressionmodelscanbepro—tisticalmethodologyandcharacterizationofthisposedindifferentfo
6、rmsinsurvivalanalysis[。一．distribution．Franses[，WuandLee[，GargetThispaperexaminesaspectsofstatisticalinferencea1．[]studiedthepropertiesoftheGompertzdistribu—onmodelingintervalcensoreddatabyusingthetionandobtainedthemaximumlikelihoodestimateslog—Gompertzregressionmode1．Weexplo
7、retheoftheparameters．However，underlyingthedistribu—useofbootstrapre—samplingmethodwiththetionishighlynegativelyskewedwithathickerandLog—Gompertzregressionmodelforrightlongerlowertail，andtheGompertzdistributioncensoreddata．doesnotprovideareasonablefitfordatafoundinThepapercon
8、sistsoffoursections．Thesomepracticalapplications．Therefore，anewram—MLEsofpa
