The Type-1 Pathway Generated Exponential distribution (PGE-1) is introduced. We have considered the estimate of the stress-strength parameter when the stress and strength components are statistically independent and follow PGE-1 distributions with distinct parameters. The point estimate of the stress-strength reliability is obtained using maximum likelihood method. The interval estimates are obtained using asymptotic confidence intervals and the parametric bootstrap method. To verify the performance of the methods developed, an extensive Monte Carlo simulation study has been conducted. The application of the developed results is illustrated on AIDS blood transfusion data.

翻译：本文引入了1型通路生成指数分布（PGE-1）。我们考虑在应力与强度分量统计独立且服从具有不同参数的PGE-1分布时，应力-强度参数的估计问题。采用极大似然法得到应力-强度可靠性的点估计，并利用渐近置信区间和参数自助法获得区间估计。为验证所提方法的性能，开展了广泛的蒙特卡洛模拟研究。基于艾滋病输血数据，对所得结果的应用进行了说明。