IEEE Transactions on Reliability · 1968 · 78 citations · 9 references
ComputingDecision SciencesIndustrial EngineeringBayesian Data AnalysisStatisticsStochastic ModelingAcceptance SamplingBayesian InferenceBayesian ModelingBayesian StatisticsPosterior DistributionsPrior DistributionsBayesian Acceptance SamplingBayesian AnalysisConjugate Prior DistributionsConjugate Prior EstimationConjugate PriorsPosterior Distribution EstimationSampling SchemesWeibull Model
The Weibull process with unknown scale parameter is taken as a model for Bayesian decision making. The family of natural conjugate prior distributions for the scale parameter is exhibited and used in prior and posterior analysis. Preposterior analysis and several sampling schemes are then discussed. Preposterior analysis is given for an acceptance sampling problem with utility linear in the unknown mean of the Weibull process, in which the sampling scheme yields the first r failures in a life test of n items. An example is included.
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Benjamin Epstein, Milton Sobel · Journal of the American Statistical Association · 1953 · 324 citations