Title
Optimal Bayesian sampling acceptance plan with random censoring
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.
Year
DOI
Venue
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 Chen1112.39
S. T. B. Choy2133.00
Kim-Hung Li3294.94