排序法计算指数寿命型元件串联系统可靠性经典精确最优置信下限

THE CLASSICAL EXACT OPTIMAL LOWER CONFIDENCE LIMITS OF RELIABILITY OF A SERIES SYSTEM CONSISTING OF INDEPENDENT EXPONENTIAL TYPE COMPONENTS

对于样本点是离散的情况,可用对样本点排序的方法确定可靠性置信下限,排序有很多种,有L-P排序、序贯排序、极大似然估计排序、修正L-P排序等。本文提出一种具有直观合理性的新的排序方法,计算指数寿命型元件串联系统可靠性经典精确最优置信下限。

We consider a series system consisting of k independent components. The life span of each component has an exponential density with an unknown parameter. We assume that the grouped data of each component and the series system are given. In this paper, we develop a new ordering method of sample points for the classical exact lower optimal confidence limit of reliability of a series system , and prove the exactness and the optimality of our result.