Prince Sattam Bin Abdulaziz University, College of Arts and Sciences, Al-Kharj, KSA.
Faculty of Science, Mathematics Department, Tanta University, Tanta, Egypt.
PLoS One. 2023 Aug 9;18(8):e0280183. doi: 10.1371/journal.pone.0280183. eCollection 2023.
In this paper, an inference on stress-strength reliability model is introduced in case of the exponentiated generalized Marshall Olkin G family of distributions. The maximum likelihood estimator of the stress-strength reliability function is deduced. An asymptotic confidence and bootstrap confidence intervals for the stress-strength reliability function are derived. A Bayesian inference is introduced for the stress-strength reliability. A simulation is introduced to obtain the maximum likelihood and Bayesian estimates for the stress strength reliability. Real data applications are provided to show the results for the stress-strength model and compare the exponentiated generalized Marshall Olkin-G distribution with other distributions.
本文针对指数广义 Marshall-Olkin G 分布族，对可靠度模型的推断进行了研究。推导了应力-强度可靠度函数的最大似然估计，得出了该函数的渐近置信区间和自举置信区间。介绍了应力-强度可靠度的贝叶斯推断。通过模拟，得到了应力-强度可靠度的最大似然估计和贝叶斯估计。提供了实际数据应用，以展示应力-强度模型的结果，并将指数广义 Marshall-Olkin-G 分布与其他分布进行比较。
