23305.帶區(qū)間刪失數(shù)據(jù)的加速失效時間模型經(jīng)驗似然推斷

1、分類號，密級帶區(qū)間刪失數(shù)據(jù)的加速失效時間模型經(jīng)驗似然推斷EmpiricalLikelihoodinferencefortheAcceleratedFailureTimeModelwithIntervalCensoredData研究生姓名：奎墜指導(dǎo)教師姓名、職稱：型互苤塾握學(xué)科專業(yè)：褪空逾魚塹堡絲鹽研究方數(shù)理統(tǒng)計湖南師范大學(xué)學(xué)位評定委員會辦公室二零一四年五月ABSTRACTAcceleratedfailuretimemodelisause

2、fulmodeltoanalyzetherelationshipbetweensurvivaltimeandthecovariateInthefieldofsurvivalanalysisComparedwiththeproportionalhazardsmodelacceleratedfailuretimemodelismoresimple，intuitiveandeasytounderstandisthepreferredmetho

3、dofsurvivalanalysisHowever，whenobtainingsurvivaldatainexperiment，duetothelimitationsofobservationandtheindividualdifferencesoftheobserverenteringorexitingtheexperiment，thedataweobtainedalwaysappearinterval—censoredThisar

4、ticlefocusesonempiricallikelihoodinferencefortheacceleratedfailuretimemodelwithinterval—censoreddataThemainstructurei8asfollowsInchapter1，weanalysizedtheresearchsituationofacceleratedfailuretimemodelwithintervaldataandga

5、veanoutlineofacceleratedfailuretimemodel，handlingmethodofintervalcensoreddata，estimationmethodofre_gressionparameter，empiricallikelihood(EL)methodandjackknifeempiricallikelihood(JEL)methodInchapter2，firstlywehandledinter

6、valcensoreddatabyquotinganovelmethod；Then，estimatedtheunknowuparameterinacceleratedfailuretimemodelwithintervalcensoreddatabyamethodsimilartogeneralizedestimatingequations；Finallyderivedtheexpressionoftheconfidenceinterv

7、aloftheregressionparametersinthemodelSeparatelybynormalapproximationmethod，ELandjackknifeELmethodInchapter3，Usingtherandomlygenerateddatatosimulateforthethreemethodsintheprecedingchapter，wecangettheConfidenceintervalsand

8、coverageprobabihtyrespectivelyandcomparedwitheachotherInthispaper，WequotedrelativelysimpleandnovelmethodstohandintervalcensoreddataandestimatedtheunkownparametersofthemodelEs—peciallywemadejackknifeELinferencefortheaccel