Relationships between pure tail orderings of lifetime distributions and some concepts of residual life

被引：3

作者：

Rojo, J

机构：

[1] Biostatistical Laboratory, Border Biomedical Research Center, University of Texas, El Paso

来源：

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 1996年 / 48卷 / 02期

关键词：

residual life; mean residual life; increasing failure rate; regular variation; D-ordering; coherent systems; decreasing failure rate (DFR); age-smooth life distributions;

D O I：

10.1007/BF00054788

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 [统计学]; 070103 [概率论与数理统计]; 0714 [统计学];

摘要：

The concepts of pure-tail orderings as defined by sq- and D- orderings are shown to order the family of reliability life distributions which age smoothly in a natural way. This ordering extends to comparisons regarding the limiting behavior of the residual life, mean residual life, sojourn time between perfect repairs in repairable systems, failure rate and, through the preservation of sq- and D-orderings by various reliability operations, to certain coherent systems of components that age smoothly Possible applications of the results to the industrial practice of cannibalization are also noted.

引用

页码：247 / 255

页数：9

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