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Bayes stopping rules for reliability testing with the exponential distribution

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2 Author(s)
Deely, J.J. ; Canterbury Univ., Christchurch, New Zealand ; Keats, J.B.

These rules for terminating testing involve achieving specified levels of credibility in both: (1) the probability of the posterior estimate of the exponential scale-parameter, θ, after some, m, of the units have been tested, and (2) the mean of the probability of θ over the remaining units, when viewed pessimistically. Sample decision tables and a numerical example illustrate both the sequential and batch testing cases. Large savings in test times can be achieved whenever the first m units present strong evidence in favor of either hypothesis (H0: θ=θ0 vs. H1 : θ=θ1, θ10)

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Reliability, IEEE Transactions on  (Volume:43 ,  Issue: 2 )