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Computational Statistics & Data Analysis
Volume 44, Issue 4, 28 January 2004, Pages 669-691
 
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doi:10.1016/S0167-9473(02)00330-4    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2002 Elsevier B.V. All rights reserved.

Bayesian sampling plans for exponential distribution based on uniform random censored data

Wen-Tao HuangCorresponding Author Contact Information, E-mail The Corresponding Author, a and Yu-Pin Linb

a Department of Management Sciences and Decision Making, Tamkang University, No. 151, Ying-Chuan Road, Tamsui 251, Taiwan, ROC b Department of International Trade, Kuang Wu Institute of Technology, Taipei 112, Taiwan, ROC

Received 31 March 2001; 
accepted 31 October 2002. ;
Available online 23 November 2002.

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Abstract

The problem of a single sampling plan with polynomial loss for the exponential distribution based on uniformly distributed random censored data has been considered. A Bayes sampling plan is derived under various schemes of censoring time. It is specially focused on a quadratic loss and an unit time cost is included in the loss. Some optimal Bayes solutions are tabulated and some numerical comparisons between the proposed plan and a known plan under special loss are also made. It is shown that the optimal solutions of the known plan are not Bayes in general.

Author Keywords: Bayes sampling plan; Exponential population; Uniform random censoring

Article Outline

1. Introduction
2. Formulation of the model and a Bayes solution
2.1. Derivation of a Bayesian sampling plan
3. Bayes sampling plan for quadratic loss
4. Algorithm for optimal solution
Numerical approximation C
5. Conclusion
Acknowledgements
References





 
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