Initial and final behaviour of failure rate functions for mixtures and systems

被引：58

作者：

Block, HW ^{[1
]}

Li, YL ^{[1
]}

Savits, TH ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Stat, Pittsburgh, PA 15260 USA

来源：

JOURNAL OF APPLIED PROBABILITY | 2003年 / 40卷 / 03期

关键词：

Mixture; IFR; DFR; bathtub shape; failure rate; asymptotic behaviour; initial behaviour; coherent system;

D O I：

10.1239/jap/1059060898

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 this paper we consider the initial and asymptotic behaviour of the failure rate function resulting from mixtures of subpopulations and formation of coherent systems. In particular, it is shown that the failure rate of a mixture has the same limiting behaviour as the failure rate of the strongest subpopulation. A similar result holds for systems except the role of strongest subpopulation is replaced by strongest min path set.

引用

页码：721 / 740

页数：20

共 5 条

[1] PROPERTIES OF PROBABILITY-DISTRIBUTIONS WITH MONOTONE HAZARD RATE [J].