Optimal Bayesian sampling acceptance plan with random censoring

Optimal Bayesian sampling acceptance plan with random censoring

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Article ID: iaor20051878
Country: Netherlands
Volume: 155
Issue: 3
Start Page Number: 683
End Page Number: 694
Publication Date: Jun 2004
Journal: European Journal of Operational Research
Authors: , ,
Keywords: statistics: decision
Abstract:

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.

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