先驗(yàn)信息在Bayes可靠性評(píng)估中的應(yīng)用及多元統(tǒng)計(jì)主成分分析.pdf

1、華中科技大學(xué)碩士學(xué)位論文先驗(yàn)信息在Bayes可靠性評(píng)估中的應(yīng)用及多元統(tǒng)計(jì)主成分分析姓名：吳曉磊申請(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：葉鷹2003.4.23華中科技大學(xué)碩士學(xué)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