Monotonicity of failure rate and mean residual life function of a gamma-type model

被引：4

作者：

Gupta, RC ^{[1
]}

Lvin, S ^{[1
]}

机构：

[1] Univ Maine, Dept Math & Stat, Orono, ME 04469 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 165卷 / 03期

关键词：

transform function; monotonic and non-monotonic failure rates; order relations; location of turning points;

D O I：

10.1016/j.amc.2004.04.121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In reliability studies, the sense of variation of the hazard rate is of major concern since it indicates system wear out or burn in or in some cases a non-monotonic hazard rate. In this paper, we consider a generalized gamma distribution and study, in detail, the monotonicity of its failure rate and the mean residual life function. This involves the investigation of the monotonic structure of a transform function and then using this structure, we study the monotonic structure of the failure rate and the mean residual life function. Some of the known results follow as special cases of our results. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：623 / 633

页数：11

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