Stochastic properties of residual life and inactivity time at a random time

被引：36
|
作者：
Misra, N. [1 ]
Gupta, N. [1 ]
Dhariyal, I. Dutt [1 ]
机构：
[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
来源：
STOCHASTIC MODELS | 2008年 / 24卷 / 01期
关键词：
DFR; DMIT; DMRL; DRFR; IFR; IMIT; IMRL; IRFR; ITRT; log-concave; log-convex; RLRT;
D O I：
10.1080/15326340701828290
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 present sufficient conditions for log-concavity and log-convexity of the residual life and the inactivity time. We also make stochastic comparisons on the residual life and the inactivity time in terms of the failure rate order, the mean residual life order and the usual stochastic order. These results strengthen some conclusions in Li and Zuo([11]) and Yue and Cao([19]).
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页码：89 / 102
页数：14
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