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Bayes stopping rules for reliability testing with the exponential distribution

机译:贝叶斯停止指数分布的可靠性测试的停止规则

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摘要

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, /spl theta/, after some, m, of the units have been tested, and (2) the mean of the probability of /spl theta/ 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 (H/sub 0/: /spl theta/=/spl thetasub 0/ vs. H/sub 1/: /spl theta/=/spl thetasub 1/, /spl thetasub 1/>/spl thetasub 0/).
机译:这些终止测试的规则涉及在两个方面都达到指定的可信度:(1)在测试了m个单位后,对指数比例参数/ spl theta /进行后验的概率,以及(2 )从悲观角度来看,剩余单位的/ spl theta /概率的平均值。样本决策表和数值示例说明了顺序测试和批处理测试案例。只要前m个单元提供有力的证据支持任一假设(H / sub 0 /:/ spl theta / = / spl thetasub 0 / vs. H / sub 1 /:/ spl theta /,就可以节省大量的测试时间。 = / spl thetasub 1 /,/ spl thetasub 1 /> / spl thetasub 0 /)。

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