Abstract | ||
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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. |
Year | DOI | Venue |
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2004 | 10.1016/S0377-2217(02)00889-5 | European Journal of Operational Research |
Keywords | Field | DocType |
Loss function,Optimal Bayes rules,Random censoring,Bayesian decision theory,Exponential distribution | Mathematical optimization,Bayes' rule,Naive Bayes classifier,Bayes factor,Sampling (statistics),Bayesian hierarchical modeling,Statistics,Censoring (statistics),Bayes estimator,Mathematics,Bayes' theorem | Journal |
Volume | Issue | ISSN |
155 | 3 | 0377-2217 |
Citations | PageRank | References |
11 | 2.39 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jianwei Chen | 1 | 11 | 2.39 |
S. T. B. Choy | 2 | 13 | 3.00 |
Kim-Hung Li | 3 | 29 | 4.94 |