資源描述：
《sequential estimation in reliability models》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在工程資料-天天文庫。
1、SequentialEstimationbyMalayGhosh,NitisMukhopadhyayandPranabK.SenCopyright?1997JohnWiley&Sons,Inc.Chapter13SequentialEstimationinReliabilityModels13.1INTRODUCTIONTime-sequentialestimationproblemsarisinginavarietyoflife-testingmodelsweretreatedintheprecedi
2、ngchapter.Althoughsuchlife-testingmodelsconstituteanimportantclassofreliabilitymodels,thereareothernotablemembersofthisclassthatdeserveacarefulstudy.Thecurrentchapterisdevotedtosuchmodelsandisaimedatdisseminatingtheroleofsequentialestimationtheoryinthisc
3、ontext.Reliabilityandsurvivabilitytheoryarebothrelatedtomeasurementoflengthoflife,althoughthecontextmayvaryfromapureengineeringsetuptoaclinicalone,andthisspectrumofvariationhascalledforattentiontomoreflexibleandrobuststatisticaltheory.Sequentialmodelsint
4、hisframeworkmaynotnecessarilyrelatetoatime-sequentialsetup.Ontheotherhand,thereliabilityofasystemwithmorethanonecomponentcanbemodeledbyprobabilitylawsforthecomponentunitsandthestructuralsetupofthecomponents,andhenceusefulstatisticalconclusionscanbedrawnb
5、yexaminingsuchstructuresandtheassociatedprobabilitylaws.Oftensuchanexaminationmayleadtoasomewhatdifferentformulationofthemodel,leadingtomorecomprehensivesolutionsaswell.Admittedlyinthisframeworkthereisagreateremphasisonthetestingofstatisticalhypothesespr
6、oblems.Newbetterthanused,IFRA,DFRA,andrelatedterminologieshaveallinvadedstatisticalmethodologyprimarilyfromthetestingpointofview.Sincesuchtestingproblemsdonotproperlybelongtothecontemplateddomainofsequentialestimation,wewillconcentrateonsomereliabilitymo
7、delswherethereisconsiderablescopeforrobustsequentialestimation.Fourimportantstatisticalproblemsarisinginreliabilitytheoryarecon-sideredhere.Bundlestrengthofparallelfilaments(Daniels1945)isanin-terestingmixtureofsomeparametricswithnonparametrics,whiletheo
8、therthree—system?-componentsinseries,system?-componentsinparallel,and36736813.SEQUENTIALESTIMATIONINRELIABILITYMODELSsystemavailabilityunderprovisionofaspareandrepair—liemoreinthecoreofreliabilitytheory(BarlowandProschan,1
