Reliability Test Plan Based on Logistic-Exponential Distribution and Its Application

A. Yadav, Mahendra Saha, Shivanshi Shukla, Harsh Tripathi, Rajashree Dey
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引用次数: 2

Abstract

In this article, a reliability test plan is developed for Logistic-exponential distribution (LoED) under time truncated life test scheme. The distribution has been chosen because it can used to model lifetime of several reliability phenomenon and it performs better than many well known existing distributions. With the discussions of statistical properties of the aforesaid model, the reliability test plan has been established under the assumption of median quality characteristics when minimum confidence level P* is given. To quench the objective of the paper i.e; to serve as a guiding aid to the emerging practitioners, minimum sample sizes have been obtained by using binomial approximation and Poisson approximation for the proposed plan. Further, operating characteristic (OC) values for the various choices of quality level are placed. Also, minimum ratio of true median life to specified life has been presented for specified producer’s risk. Important findings of the proposed reliability test plan are given for considered value of k=0.75,1,2. To demonstrate the appropriateness of suggested reliability test plan is achieved using four real life situation.
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基于Logistic指数分布的可靠性测试计划及其应用
提出了一种时间截断寿命试验方案下的logistic指数分布可靠性试验方案。选择该分布是因为它可以用来对几种可靠性现象的寿命进行建模,并且它比许多已知的现有分布性能更好。通过对上述模型统计特性的讨论,在给出最小置信水平P*的条件下,建立了中位数质量特征假设下的可靠性检验方案。为了达到论文的目的,即;为了给新兴的实践者提供指导,我们使用二项近似和泊松近似获得了最小样本量。此外,还列出了各种质量水平选择的操作特性(OC)值。同时,给出了特定生产者风险下的真实中值寿命与指定寿命的最小比值。考虑k=0.75,1,2时,给出了所提出的信度试验方案的重要结果。通过四种实际情况验证了所提出的可靠性试验方案的适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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