We suppose that a product’s lifetime follow the exponentiated Fréchet distribution of defined shape parameters. Based on this assumption, a double-acceptance sampling plan is constructed. The zero and one failure framework is essentially thought of: if no errors are found from the first sample, then the lot is approved; also, if at least two failures occur, it is rejected. In the first sample, if one failure is observed, then the second sample is taken and decided for the same length as the first one. The cumulative sample sizes of the first and second samples are determined on the basis of the stated confidence level of the consumer to ensure that the actual median is longer than the given life. As indicated by the various ratios of the actual median life to specified median lifetime, the operating characteristics are calculated and placed in presented tables. To decrease the risk of the producer at the predefined level, the minimum ratios of this sort are additionally obtained. Lastly, examples are provided for representation reasons for the proposed model.

中文翻译：

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具有已知形状参数的指数Fréchet分布的双验收抽样方案

我们假设产品的寿命遵循定义的形状参数的指数Fréchet分布。基于此假设，构建了双重接受抽样计划。零故障和零故障框架实质上是这样考虑的：如果从第一个样本中未发现任何错误，则该批次被批准；同样，如果发生至少两次失败，则将其拒绝。在第一个样本中，如果观察到一个失败，则获取第二个样本，并确定其长度与第一个样本相同。第一和第二个样本的累积样本大小是根据消费者的置信度确定的，以确保实际中位数比给定寿命更长。如实际中位数寿命与指定中位数寿命的各种比率所表明的，计算工作特性并将其放在显示的表格中。为了将生产者的风险降低到预定水平，还需要获得这种最小比率。最后，出于代表性的原因提供了所提出模型的示例。