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:采用了1型路径生成指数分布法(PGE-1),我们考虑了压力强度参数的估计数,当压力和强度组成部分在统计上是独立的,并遵循PGE-1分布法,并有不同的参数时,我们考虑了压力强度参数的估计数;对压力强度可靠性的点数估计是使用最大可能性方法获得的;间隔估计是使用无症状信任间隔法和参数靴套法获得的;为核实所开发方法的性能,对蒙特卡洛进行了广泛的模拟研究;在艾滋病输血数据上说明了已开发结果的应用情况。</s>