In the field of life testing, it is very important to study the reliability of any component under testing. One of the most important subjects is the “stress-strength reliability” term which always refers to the quantity in any statistical literature. It resamples a system with random strength (X) that is subjected to a random strength (Y) such that a system fails in case the stress exceeds the strength. In this study, we consider stress-strength reliability where the strength (X) follows Rayleigh-half-normal distribution and stress (, and ) follows Rayleigh-half-normal distribution, exponential distribution, Rayleigh distribution, and half-normal distribution, respectively. This effort comprises determining the general formulations of the reliabilities of a system. Also, the maximum likelihood estimation approach and method of moment (MOM) will be utilized to estimate the parameters. Finally, reliability has been attained utilizing various values of stress and strength parameters.

中文翻译：

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使用瑞利和半正态分布估计应力强度可靠性模型

在寿命测试领域，研究任何被测元件的可靠性是非常重要的。最重要的主题之一是“应力强度可靠性”术语，它总是指数量在任何统计文献中。它对具有随机强度 ( X )的系统重新采样，该系统受到随机强度 ( Y ) 的影响，以便在应力超过强度的情况下系统失效。在本研究中，我们考虑应力强度可靠性，其中强度 ( X ) 遵循瑞利半正态分布和应力 (,和) 分别遵循瑞利半正态分布、指数分布、瑞利分布和半正态分布。这项工作包括确定系统可靠性的一般公式。此外，将利用最大似然估计方法和矩量法 (MOM) 来估计参数。最后，利用各种应力和强度参数值已获得可靠性。