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Optimal Bayesian sampling acceptance plan with random censoring
DOI:10.1016/S0377-2217(02)00889-5.png)
摘要
En 中文
The sampling acceptance scheme with censoring is one of the important life inspection problems. In this article, a general model of sampling acceptance plan for the exponential distribution with exponentially distributed random censoring is presented and investigated using Bayesian decision theory. We consider a loss function which includes the sampling cost, time-consuming cost and decision loss to determine the optimal sampling acceptance plan. Under mild assumptions, the optimal Bayes rule can be proved to be of a monotonic form. Moreover, we obtain optimal Bayes rules and explicit expressions of the Bayes risk for two special decision loss functions. Finally, a numerical example is given to demonstrate the model. (C) 2003 Elsevier B.V. All rights reserved.
Keyword:
loss function
optimal Bayes rules
random censoring
Bayesian decision theory
exponential distribution
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6
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2.2W
被引数:
6.4W
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