Bayesian sampling plans for exponential distributions with interval censored samples |
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| Authors: | Lee‐Shen Chen Ming‐Chung Yang TaChen Liang |
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| Institution: | 1. Department of Applied Statistics and Information Science, Ming Chuan University, Taoyuan, Taiwan;2. Department of Banking and Finance, Kainan University, Taoyuan, Taiwan;3. Department of Mathematics, Wayne State University, Detroit, Michigan |
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| Abstract: | This article studies the problem of designing Bayesian sampling plans (BSP) with interval censored samples. First, an algorithm for deriving the conventional BSP is proposed. The BSP is shown to possess some monotonicity. Based on the BSP and using the property of monotonicity, a new sampling plan modified by the curtailment procedure is proposed. The resulting curtailed Bayesian sampling plan (CBSP) can reduce the duration time of life test experiment, and it is optimal in the sense that its associated Bayes risk is smaller than the Bayes risk of the BSP if the cost of the duration time of life test experiment is considered. A numerical example to compute the Bayes risks of BSP and CBSP and related quantities is given. Also, a Monte Carlo simulation study is performed to illustrate the performance of the CBSP compared with the BSP. The simulation results demonstrate that our proposed CBSP has better performance because it has smaller risk. The CBSP is recommended. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 604–616, 2015 |
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| Keywords: | Bayesian sampling plan curtailed decision function interval censoring |
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