Asymptotic Methods in Statistics

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1、ThispageintentionallyleftblankFromFiniteSampletoAsymptoticMethodsinStatisticsExactstatisticalinferencemaybeemployedindiversefieldofscienceandtechnology.Asproblemsbecomemorecomplexandsamplesizesbecomelarger,mathematicalandcomputationaldifficultiecanarisethatre

2、quiretheuseofapproximatestatisticalmethods.Suchmethodsarejustifiebyasymptoticargumentsbutarestillbasedontheconceptsandprinciplesthatunderlieexactstatisticalinference.Withthisinperspective,thisbookpresentsabroadviewofexactstatisticalinferenceandthedevelopmento

3、fasymptoticstatisticalinference,providingajustificatiofortheuseofasymptoticmethodsforlargesamples.Methodologicalresultsaredevelopedonaconcreteandyetrigorousmathematicallevelandareappliedtoavarietyofproblemsthatincludecategoricaldata,regression,andsurvivalanal

4、yses.Thisbookisdesignedasatextbookforadvancedundergraduateorbeginninggraduatestudentsinstatistics,biostatistics,orappliedstatisticsbutmayalsobeusedasareferenceforacademicresearchers.PranabK.SenistheCaryC.BoshamerProfessorofBiostatisticsandProfessorofStatistic

5、sandOperationsResearchattheUniversityofNorthCarolinaatChapelHill.HeistheauthororcoauthorofnumeroustextbooksinstatisticsandbiostatisticsandeditororcoeditorofnumerousvolumesinthesamefieldHehasmorethan600publicationsinleadingstatisticsjournalsandhassupervised83d

6、octoralstudents.SenisaFellowofboththeInstituteofMathematicalStatisticsandtheAmericanStatisticalAssociation.In2002,hewastheSeniorNoetherAwardeeforhislifelongcontributionstononparametricsandreceivedtheCommemorationMedalfromtheCzechUnionofPhysicistsandMathematic

7、iansin1998.JulioM.SingerisaProfessorintheDepartmentofStatistics,UniversityofSaoPaulo,Brazil,˜andisthecodirectoroftheuniversity’sCenterforAppliedStatistics.ProfessorSingeristhecoauthorofbooksoncategoricaldataandlargesampletheoryandhaspublicationsinbothmethodol

8、ogicalandapplications-orientedjournals.Hewasthe1993JamesE.GrizzleDistinguishedAlumnusinBiostatisticsfromtheUniversityofNorthCarolinaatChapelHill.Hesupervisedseveralgraduatestudentsandcont