Bayesian Life Test Planning for the Weibull Distribution with Given Shape Parameter Zhang, Yao Meeker, William Meeker, William
dc.contributor.department Statistics 2018-02-16T05:06:08.000 2020-07-02T06:56:04Z 2020-07-02T06:56:04Z 2002-10-08
dc.description.abstract <p>This paper describes Bayesian methods for life test planning with Type II censored data from a Weibull distribution, when the Weibull shape parameter is given. We use conjugate prior distributions and criteria based on estimating a quantile of interest of the lifetime distribution. One criterion is based on a precision factor for a credibility interval for a distribution quantile and the other is based on the length of the credibility interval. We provide simple closed form expressions for the relationship between the needed number of failures and the precision criteria. Examples are used to illustrate the results.</p>
dc.description.comments <p>This preprint was published in <em>Metrika</em> 61 (2005): 237–249, doi:<a href="" target="_blank">10.1007/s001840400334</a>.</p>
dc.identifier archive/
dc.identifier.articleid 1019
dc.identifier.contextkey 6994904
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath stat_las_preprints/21
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 22:32:04 UTC 2022
dc.source.uri 10.1007/s001840400334
dc.subject.disciplines Statistics and Probability
dc.subject.keywords Bayesian design
dc.subject.keywords Conjugate prior
dc.subject.keywords Exponential distribution
dc.subject.keywords Life data
dc.subject.keywords Sample size determination
dc.title Bayesian Life Test Planning for the Weibull Distribution with Given Shape Parameter
dc.type article
dc.type.genre article
dspace.entity.type Publication
relation.isAuthorOfPublication a1ae45d5-fca5-4709-bed9-3dd8efdba54e
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca
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