先驗信息在Bayes可靠性評估中的應用及多元統(tǒng)計主成分分析.pdf

1、華中科技大學碩士學位論文先驗信息在Bayes可靠性評估中的應用及多元統(tǒng)計主成分分析姓名：吳曉磊申請學位級別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計指導教師：葉鷹2003.4.23華中科技大學碩士學位論文AbstractWiththegradualdevelopmentofmarketeconomicinstitutioninChina，Tremendousstatisticalinformationisneedednotonlyinourcount

2、ry’Smacrocontrolbutalsointheoperation&managementofcompaniesThusduringthepastfewyearsChinahasstrengthenedthecommunicationandstudyforforeignstatisticaltheoryandmethodologyThisisthedrivetomeetthedemandofincreasinglywide—ope

3、ntooutsideworldandconformtotheinternationalregulationsBayesianstatisticshasbeendevelopedwithitsdisputewithstatisticsNowithasbeenallunalienablepartofstatisticsIn1985，JOBergepublishedthemonograph‘StatisticalDec婦ionTheoryan

4、dBayesianAnalys括”inwhichhegaveacompletedescriptionofBayesianstatisticsLaterUSpublished2copiesof‘‘CasesStudiesinBayesianStatistics”BythenBayesianstatisticshadgotfurtherdevelopmentbothintheoryandpractice，eveninthecombinati

5、onofthemThegreatestdifferencebetweenBayesianstatistiesandclassicalstatisticsliesinwhetherthepriorinformationisusedAsBayesianstatisticscomprehendsthe3typesofinformation，includingpriorinformation，sampleinformationandpopula

6、tioninformation，whichmakeiteasiertobetakenintopractice；andBayesianprocedurehasitsobviousadvantagesindealingwithsmallsampleproblemNowithascometobewidelyusedinbiologystatistics，clinicaltrial，qualitycontrol，imageanalysis，re

7、liabilityetcEspeciallyintheareaofnationaldefence：Asearlyasin1960s，USandex—soviethaslistedBayesianprocedureashandbook，inEnglanditislistedasanationwidestandardInChinatheresearchofBayesianprocedurestartedataslowpaceItisseld

8、omadoptedinengineeringprojectBynowthereisnotonecaseonthereliabilityofsystemoftacticalarminwhichBayesianprocedureisadoptedThispaperhasdonesomehelpfulexplorationinBayesianprocedureonhowtousepriorinfbrInationinpracticalcase