Tail Behavior of the Failure Rate Functions of Mixtures

被引：55

作者：

Block H. ^{[1
]}

Joe H. ^{[2
]}

机构：

[1] Department of Statistics, University of Pittsburgh

[2] Department of Statistics, University of British Columbia

来源：

Lifetime Data Analysis | 1997年 / 3卷 / 3期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Failure rates; Mixtures; Regularly varying;

D O I：

10.1023/A:1009653032333

中图分类号：

学科分类号：

摘要：

The tail behavior of the failure rate of mixtures of lifetime distributions is studied. A typical result is that if the failure rate of the strongest component of the mixture decreases to a limit, then the failure rate of the mixture decreases to the same limit. For a class of distributions containing the gamma distributions this result can be improved in the sense that the behavior of the failure rate of the mixture asymptotically mirrors that of the strongest component in whether it decreases or increases to a limit.

引用

页码：269 / 288

页数：19

共 13 条

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