Aljohani Hassan M
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia.
Heliyon. 2024 Feb 7;10(3):e25802. doi: 10.1016/j.heliyon.2024.e25802. eCollection 2024 Feb 15.
The system or unit survives when strength is more significant than the stress enjoined. This procedure is usually used in many companies to test their product. The reliability or the quality of the scheme or component is described by the parameters of stress-strength reliability ()) where denotes strength and indicates stress. In this article, we adopted the statistical inference of while the two arbitrary factors and are independent and approach the Lomax lifetime distribution with common scale parameters. Also, the strength and stress variables are subjected to a partial step-stress-quickened life experiment. The classical estimation and Bayes method create the point estimate of . Confidence intervals of are computed with asymptotic distribution, bootstrap technique, and Bayesian credible intervals. All results are evaluated and compared under an extensive simulation study. Finally, the lifetime data sets generated from the Lomax distribution are used to analyze the system's reliability by estimating .
当强度比所承受的应力更显著时，系统或单元就能存活下来。这个过程通常在许多公司用于测试他们的产品。方案或组件的可靠性或质量由应力 - 强度可靠性（）的参数来描述，其中表示强度， 表示应力。在本文中，我们采用了的统计推断，同时两个任意因素和是独立的，并且具有共同尺度参数的情况下接近洛马克斯寿命分布。此外，强度和应力变量要进行部分阶跃应力加速寿命试验。经典估计和贝叶斯方法创建了的点估计。的置信区间通过渐近分布、自助法技术和贝叶斯可信区间来计算。在广泛的模拟研究下对所有结果进行评估和比较。最后，由洛马克斯分布生成的寿命数据集用于通过估计来分析系统的可靠性。
