A sequential bayes procedure for reliability demonstration

Ray E. Schafer and Nozer D. Singpurwalla

Naval Research Logistics Quarterly, 1970, vol. 17, issue 1, 55-67

Abstract: A common problem in life testing is to demonstrate that the mean time to failure, θ, exceeds some minimum acceptable value, say θ1, with a given confidence coefficient γ. When this is true, it is said that “θ1 has been demonstrated with a confidence γ”. In this paper a Sequential Bayes Procedure (SBP) for demonstrating (by means of. a probability statement) that θ exceeds θ1 is presented. The SBP differs from the classical procedure in the sense that a prior distribution is assumed on the parameter θ, calling for a Bayesian approach. The procedure is based on the sequence of statistics.

Date: 1970
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:17:y:1970:i:1:p:55-67

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