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Acceptance sampling plan from truncated life tests based on exponentiated inverse Rayleigh distribution

机译：基于指数瑞利逆分布的截短寿命测试的验收抽样计划

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Purpose: To develop an acceptance sampling plan for a truncated life test when the lifetime of a product follows exponentiated inverse Rayleigh distribution (EIRD). Summary: In the above setup the article derives the minimum sample size and the acceptance number for various combinations of shape parameters of EIRD when the consumer's risk (CR) and the test termination time are specified. The OC values are obtained for different quality levels and compared with ordinary IRD. (11 refs.) Results: Consider an acceptance sampling plan (n, c) where n and c are the sample size and acceptance number respectively. In truncated tests, the process is terminated at a prefixed time and the number of failures during the period is recorded. Often the quality is measured through the lifetime (T) and the variance the scale parameter of the distribution of T can be a quality parameter. Under a defectiveon-defective classification of units one must also consider the ratio t/μ_0 where μ_0 is the specified mean (or median). Thus one has to determine the smallest n to ensure a mean lifetime when the number of observed failures does not exceed c. A preassigned probability p* for this vent is used to provide consumer protection. A brief overview of relevant literature is provided in the beginning. Then, following the results of Cordeiro et al (Ref. 1), the required sampling plan is developed.
机译：目的：当产品的寿命遵循指数瑞利逆分布（EIRD）时，为截短寿命测试制定验收抽样计划。摘要：在上述设置中，当指定了消费者风险（CR）和测试终止时间时，本文将得出EIRD形状参数的各种组合的最小样本量和接受数。获得了不同质量级别的OC值，并与普通IRD进行了比较。 （11个参考）结果：考虑一个验收抽样计划（n，c），其中n和c分别是样本数量和验收编号。在截断的测试中，该过程在预定的时间终止，并记录该期间的失败次数。通常，质量是通过寿命（T）来衡量的，并且T分布的比例参数的方差可以是质量参数。在有缺陷/无缺陷的单位分类下，还必须考虑比率t /μ_0，其中μ_0是指定的平均值（或中位数）。因此，当观察到的故障数量不超过c时，必须确定最小的n以确保平均寿命。该通风口的预先指定的概率p *用于提供消费者保护。开始时提供了相关文献的简要概述。然后，根据Cordeiro等（参考资料1）的结果，制定所需的抽样计划。

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