Efficient Bayesian sampling plans for exponential distributions with random censoring

This paper considers Bayesian sampling plans for exponential distribution with random censoring. The efficient Bayesian sampling plan for a general loss function is derived. This sampling plan possesses the property that it may make decisions prior to the end of the life test experiment, and its dec...

Full description

Saved in:
Bibliographic Details
Published in:Journal of statistical planning and inference 2012-02, Vol.142 (2), p.537-551
Main Authors: Liang, TaChen, Chen, Lee-Shen, Yang, Ming-Chung
Format: Article
Language:English
Subjects:
Acceptance sampling
Applications
Bayes risk
Decision function
Decision theory
Exact sciences and technology
General topics
Mathematics
Nonparametric inference
Probability and statistics
Random censoring
Reliability, life testing, quality control
Sampling plan
Sciences and techniques of general use
Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper considers Bayesian sampling plans for exponential distribution with random censoring. The efficient Bayesian sampling plan for a general loss function is derived. This sampling plan possesses the property that it may make decisions prior to the end of the life test experiment, and its decision function is the same as the Bayes decision function which makes decisions based on data collected at the end of the life test experiment. Compared with the optimal Bayesian sampling plan of Chen et al. (2004), the efficient Bayesian sampling plan has the smaller Bayes risk due to the less duration time of life test experiment. Computations of the efficient Bayes risks for the conjugate prior are given. Numerical comparisons between the proposed efficient Bayesian sampling plan and the optimal Bayesian sampling plan of Chen et al. (2004) under two special decision losses, including the quadratic decision loss, are provided. Numerical results also demonstrate that the performance of the proposed efficient sampling plan is superior to that of the optimal sampling plan by Chen et al. (2004).
ISSN:0378-3758
1873-1171
DOI:10.1016/j.jspi.2011.08.011