HAZARD RATE PROPERTIES OF A GENERAL COUNTING PROCESS STOPPED AT AN INDEPENDENT RANDOM TIME

被引：8

作者：

Badia, F. G. ^{[1
]}

机构：

[1] Univ Zaragoza, Dept Stat Methods, Zaragoza 50018, Spain

来源：

JOURNAL OF APPLIED PROBABILITY | 2011年 / 48卷 / 01期

关键词：

IFR property; DRHR property; generalized renewal process; trend renewal process; DISTRIBUTIONS; RELIABILITY;

D O I：

10.1239/jap/1300198136

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 work we provide sufficient conditions under which a general counting process stopped at a random time independent from the process belongs to the reliability decreasing reversed hazard rate (DRHR) or increasing failure rate (IFR) class. We also give some applications of these results in generalized renewal and trend renewal processes stopped at a random time.

引用

页码：56 / 67

页数：12

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