On conditions for mixtures of increasing failure rate distributions to have an increasing failure rate

被引：32

作者：

Lynch, JD ^{[1
]}

机构：

[1] Univ S Carolina, Dept Stat, Columbia, SC 29208 USA

来源：

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES | 1999年 / 13卷 / 01期

关键词：

D O I：

10.1017/S0269964899131036

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Consider a family of distributions with survival distributions that are log concave and stochastically increasing in a parameter over which it will be mixed. It is shown that a necessary and sufficient condition for a mixture over any such family to have an increasing failure rate is that the mixing distribution have an increasing failure rate. Some observations are given on generalizing this result as well as weakening the conditions on Prekopa's Theorem.

引用

页码：33 / 36

页数：4