One of the modern statistical methods is assessing quality performance of product. The performance of a process in the manufacturing and services industry is assessed to examine the level of product quality. The product performance is measured using the lifetime performance index $C_L$, where $L$ is a lower specification limit. In this paper, the maximum likelihood estimation (MLE) of $C_L$ for the power Rayleigh distribution is derived based on progressive first‐failure–censored sample on the condition of known $L$ is calculated. The hypothesis testing procedure is applied for assessing whether the lifetime of products meets the required level. Finally, real‐life data of the number of revolutions before failure of a ball bearing in endurance life time test are used to illustrate the proposed procedure.

中文翻译：

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基于渐进式首次故障检查数据的功率瑞利分布推断寿命性能指标

现代统计方法之一是评估产品的质量性能。对制造和服务行业中流程的绩效进行评估，以检查产品质量水平。产品性能是使用寿命性能指标来衡量的$C_{\mathrm{大号}}$，在哪里 $\mathrm{大号}$是规格下限。本文中的最大似然估计（MLE）$C_{\mathrm{大号}}$ 功率瑞利分布是基于已知条件下的渐进式首次故障删失样本得出的 $\mathrm{大号}$计算。假设检验程序用于评估产品的使用寿命是否达到要求的水平。最后，使用耐久寿命测试中滚珠轴承失效之前的转数的真实数据来说明所建议的程序。