论文标题
使用指数 - 伽马（3，$λ$）分布的应力强度可靠性模型
A Stress-Strength Reliability Model using Exponential-Gamma(3,$λ$) Distribution
论文作者
论文摘要
可靠性分析中的重要问题之一是计算应力强度可靠性。但是在某些情况下计算它是不切实际的。因此，估计保留为替代解决方案，以获得可靠性的近似值。有一些研究论文使用统计分布处理应力强度可靠性分析。在本文中，引入了指数 - 伽马$（3，λ）$分布的应力强度可靠性模型。得出了模型参数的最大似然估计器（MLE）。给出了应力强度可靠性的最大似然估计的渐近分布和置信区间，$ r = p（x> y）$。使用蒙特卡洛模拟进行数值插图。通过实际数据分析对结果进行分析。
One of the important problem in reliability analysis is computation of stress-strength reliability. But it is impractical to compute it in certain situations. So the estimation stay as an alternative solution to get an approximate value of the reliability. There are research papers which deals with stress-strength reliability analysis using statistical distributions. In this paper, a stress-strength reliability model for exponential-gamma$(3,λ)$ distribution is introduced. The maximum likelihood estimator (MLE) for the model parameters is derived. Asymptotic distribution and confidence interval for the maximum likelihood estimates of stress-strength reliability, $R=P(X>Y)$, are given. The numerical illustration is performed using Monte Carlo simulations. The results are analyzed with real data analysis.
