标题： 基于删失样本的指数情形下$P(Y<X)$的估计 显示英文标题

标题： Estimating of $P(Y<X)$ in the Exponential case Based on Censored Samples

摘要： 本文讨论了当强度 $p(y<x)$ 和应力 $X$，$Y$ 分别服从具有不同尺度参数的独立指数分布时，系统可靠性估计的问题，此时可用数据为 II 型截尾样本。应用了不同的可靠性估计方法，所得点估计包括最大似然估计、一致最小方差无偏估计以及基于共轭先验和非信息先验分布的贝叶斯估计。对所得到的估计进行了比较。此外还讨论了可靠性的区间估计。 显示英文摘要

摘要： In this article, the estimation of reliability of a system is discussed $p(y<x)$ when strength, $X$, and stress, $Y$, are two independent exponential distribution with different scale parameters when the available data are type II Censored sample. Different methods for estimating the reliability are applied. The point estimators obtained are maximum likelihood estimator, uniformly minimum variance unbiased estimator, and Bayesian estimators based on conjugate and non informative prior distributions. A comparison of the estimates obtained is performed. Interval estimators of the reliability are also discussed.