兩類常見(jiàn)指數(shù)分布族中參數(shù)的經(jīng)驗(yàn)Bayes檢驗(yàn)問(wèn)題——NA樣本情形.pdf

1、中國(guó)科學(xué)技術(shù)大學(xué)碩士學(xué)位論文兩類常見(jiàn)指數(shù)分布族中參數(shù)的經(jīng)驗(yàn)Bayes檢驗(yàn)問(wèn)題——NA樣本情形姓名：周雁申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計(jì)指導(dǎo)教師：韋來(lái)生20080501AbstractAbStraCtInthispaper，theempiricalBayes(EB)statisticalinfercnceforthescaleexponentialfamilyandthediscretconeparameterexponentia

2、lf抽ilyhaSbeendiscussedrespectiVelyinthecaseofnegatiVelyassociated(NA)samplesInthefirstch印ter，theprincipleofBayesian‘methods，theempiricalBayesianmethodsfortheexponentialfamily，thecurrentresearchstatesandrecentdeVelopmento

3、fthemareretrospectandintroducedThestructureandmaincontentsofthisthesisarealsobrieflyintroducedInthesecondchapter，themonotoneBayestestrulesarederiVedunderweightedIinearlossfunction；theEBtestrulesareconstructedbyusingtheke

4、melestimationmethodinthecaSeofNAsamples，andmeconVe唱enceratesareobtainedTheconVe唱enceratesfortheproposedEBtestrulescanarbitrarilycIosetoD01)undersuitableconditions，andithasgreatlyimproVedthegiVenresultin也eliteratureSimila

5、rresultScanbeobtainedinthecasesofpositiVelyassociated(PA)sam【plesandiidsamplesFinaIly，anexampleconcemingmainresultsisgiVenInthethirdchapter’empiricalBayes(EB)testprobIemaboutdiscreteone—parameterexponentialfamilyhasbeend

6、iscussedinthecaseofNAsampIesTheEBtestruIesareconstructedbyusingtheidenticalIydistributedNAsampIes，anditisshownthattheproposedEBtestrulesareasymptoticaIlyoptimalwithexponentialconVe喀enceratesAneXampleisgiVent0explainthatt