Limiting availability of system with non-identical lifetime distributions and non-identical repair time distributions

被引：14
|
作者：
Mi, J [1 ]
机构：
[1] Florida Int Univ, Dept Stat, Miami, FL 33199 USA
来源：
STATISTICS & PROBABILITY LETTERS | 2006年 / 76卷 / 07期
关键词：
limiting availability; dominated sequence of distribution functions; Laplace-Stieltjes transform; tauberian theorem;
D O I：
10.1016/j.spl.2005.10.004
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：
The limiting availability, or steady state availability of a repairable system is studied. It is assumed that the lifetimes of system are independent but not necessarily identically distributed, and the times for repairing the failed systems are also independent but not necessarily identically distributed. It can be used to better model the real situation than the usual i.i.d. assumption. In this paper, sufficient conditions are given under which the limiting availability of the system exists and its closed-form expression is also derived. (C) 2005 Elsevier B.V. All rights reserved.
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页码：729 / 736
页数：8
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