CLASSES OF LIFE DISTRIBUTIONS AND RENEWAL COUNTING PROCESS

被引：33

作者：

CHEN, YH

机构：

来源：

JOURNAL OF APPLIED PROBABILITY | 1994年 / 31卷 / 04期

关键词：

EXPONENTIAL DISTRIBUTION; RENEWAL COUNTING PROCESS; DFR; NBU; NWU; NBUE; NWUE;

D O I：

10.2307/3215334

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：

We prove that if the renewal function M(t) corresponding to a life distribution Fis convex (concave) then Fis NBU (NWU), and hence answer two questions posed by Shaked and Zhu (1992). Moreover, based on the renewal function, some characterizations of the exponential distribution within certain classes of life distributions are given.

引用

页码：1110 / 1115

页数：6

共 7 条

[1] COMPARISON OF REPLACEMENT POLICIES + RENEWAL THEORY IMPLICATIONS [J].