THE LIMITING FAILURE RATE FOR A CONVOLUTION OF LIFE DISTRIBUTIONS

被引：0

作者：

Block, Henry W. ^{[1
]}

Langberg, Naftali A. ^{[2
]}

Savits, Thomas H. ^{[1
]}

机构：

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

[2] Univ Haifa, Dept Stat, IL-31905 Haifa, Israel

来源：

JOURNAL OF APPLIED PROBABILITY | 2015年 / 52卷 / 03期

关键词：

Reliability; failure rate function; increasing failure rate; decreasing failure rate; convolution; MIXTURES; SYSTEMS; MODELS;

D O I：

暂无

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 investigate the limiting behavior of the failure rate for the convolution of two or more life distributions. In a previous paper on mixtures, Block, Mi and Savits (1993) showed that the failure rate behaves like the limiting behavior of the strongest component. We show a similar result here for convolutions. We also show by example that unlike a mixture population, the ultimate direction of monotonicity does not necessarily follow that of the strongest component.

引用

页码：894 / 898

页数：5

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