On the mean past and the mean residual life under double monitoring

被引：38
|
作者：
Poursaeed, M. H. [1 ]
Nematollahi, A. R. [1 ]
机构：
[1] Shiraz Univ, Dept Stat, Coll Sci, Shiraz 71454, Iran
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2008年 / 37卷 / 07期
关键词：
order statistics; reliability function; reversed hazard rate; truncated expectation;
D O I：
10.1080/03610920701762796
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In the present article, we consider a parallel system consisting of n identical components, such that the lifetimes of components are independent and have a common distribution function F. It is assumed that the total number of failures of the components at time t(1) is m and at time t(2) (t(1)<t(2)), all components of the system have failed or the system is still working. Under these conditions, we are interested in the study of the mean past lifetime (MPL) of the components and the mean residual lifetime (MRL) of the system. Several properties of the MPL and MRL are studied and several properties of those are derived. It is also shown that the underlying distribution function F can be recovered from the proposed MPL and a characterization of the exponential distribution is given based on MRL.
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页码：1119 / 1133
页数：15
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