Acceptance sampling plans based on truncated life tests for weighted exponential distribution |
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| Authors: | Wenhao Gui Muhammad Aslam |
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| Institution: | 1. Department of Mathematics, Beijing Jiaotong University, Beijing, China;2. Department of Mathematics and Statistics, University of Minnesota Duluth, Duluth, Minnesota, United States;3. Department of Statistics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | Gupta and Kundu proposed a new class of weighted exponential distributions using the idea of Azzalini. In this article, we develop an acceptance sampling plan for the weighted exponential distribution under a truncated life test. For various acceptance numbers, consumer’s confidence levels and values of the ratio of the experimental time to the specified mean lifetime, the minimum sample size necessary to ensure a certain mean lifetime are obtained. The operating characteristic function values and the associated producer’s risks are also presented. A numerical example is provided to illustrate the acceptance sampling plan. |
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| Keywords: | Acceptance sampling plan Operating characteristic function value Producer’s risk Truncated life test Weighted exponential distribution |
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