威布尔分布场合的贝叶斯统计推断

《威布尔分布场合的贝叶斯统计推断》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、西南交通大学硕士学位论文威布尔分布场合的贝叶斯统计推断姓名：翟艳敏申请学位级别：硕士专业：应用数学指导教师：李裕奇2002.12.1露麓交避大学颈士薅}究整拳盛论交第}灏摘要恿冀戡溉鱼和可靠性骢证问越襁可靠性工程中占有重要的位黼。煎中，词。捺性详髅是殴知产品蛉毒窃分布秘一缀数据，如德去镄诗产燕瓣可禳技静彝越，弼胃霾经验迸是已鲡产熟匏潦命分糍，要求产晶熬菜个可嚣{琏擞栝达到预定的蓬，魏传确建试验辩鬻静瓣繇。本文鲻爱时凝方法嚣藏蠢尔矮舍下熬霹纛拣译嵇积疆{菱瓣越进行了深天熬臻究。．首先，讨论了Weibull型产品的可靠憔评估问题。漆文分别从失效概率和可靠度蕊个整要指挺燃发，瑷论上诞嘲先

2、验分毒逸墩的台理健，测躇多层受#中豢方法簿爨失效穰奉黧可靠震戆Bayes旗诗，双薅褥嶷蘑最，{、二采法绘出来辩参数及可靠憔重要攒标酌Bayes估计，并在萼

3、进失效信息籍绘出了Bayes塔台藩诗奠夕、一其次，分柝了在形状参数已知、特征参数未知和形状参数、特征参数均束翘熬瓣裂；谘澎下鹣Bayes区鼹镳诗。l零文鑫霉l进最缀区窝襞嚣翁穰念嚣，绘}廷了泰辩参数稻胃靠栋蕹螫捂褥麓Bayes双铡和荦铡嚣两估计。L。，。最后，讨论Weibull型产品的甜靠性验诚问题。同区间饿计分嬲葶I}情形给惠了蠢失效可靠犍验涯方察。方案不枝考寒馕鼹方鳃弼益，箍纛蘧过蠢条赞瓤搴爨诞了生产：方豹零

4、l蕊。关键谰：

5、藏布尔分帮；笼失效数据{擞时斯估计；始验分布{可纛性验证麟素交滋大攀碳士褒究擞学接谗文繁{l豢。——．——．。——．。—一一AbstractThereliabilityestimateandthereliabilitydemonstrationtestareimportantinthereliabilityengineering，’thereliabilityestimateistheproblemhowtoestimatetheproducts"reliabititybasedontheknowndistributionanddataandthereliabilityde*mon

6、strationistheproblemhowlongthetestisbasedontheknowndistributionandsomereliabilityindexmeetingtheexpectation．Inthepaper,Bayesianmethodisus，edtostudytheproblemsofthereliabilityestimateandthereliabilitydemonstrationtestforWoib毽lldistribution，First,thereliabilityestimatefor硫ibutldistributionisdisc

7、ussed，Onthebasisofthefailureprobabilityandreliabill移，thepaperprovesthepriordistributionisreaso—nableandgets氇eirBayesianestimatebyrlleansofthehierarchicalpriordistribufion．Then，byaleastsquaremethodparametersandtheimportantreliabilltyindexesBa*yesianestimatesalegivenout。Besides，afterintroducingf

8、ailureinformation,Baye-siansynthesisestimatesaregivenout．+Secondly,Bayesianconfidenceboundsisstudiedforthetwoeases．Oneisthatthescaleparameterisknownandthecharacteristiclireisunknowrktheotheristhatbe-thatemaknown。Afterimroducingtheconceptofthe照ortestBayesianconfidenceinterval，thepapergivenOutth

9、ebilateralandsingleintervalestimatesofthepal'ame“tersandtheimportantreliabilityindexes．Atlast，thereliabilitydemonstrationtestforWeibulldistributtonisdiscussed。Theretiabilitydemonstrationtestingprocedureisgivenforeachofthetwocase,swhich菇