Comparing residual lifetimes and inactivity times of dependent random variables

被引：0

作者：

Amini-Seresht, Ebrahim ^{[1
]}

Kelkinnama, Maryam ^{[2
]}

Balakrishnan, Narayanaswamy ^{[3
]}

机构：

[1] Bu Ali Sina Univ, Dept Stat, Hamadan, Hamadan, Iran

[2] Isfahan Univ Technol, Dept Math Sci, Esfahan, Iran

[3] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2023年 / 52卷 / 24期

关键词：

Residual lifetime; inactivity time; hazard rate order; mean residual life order; likelihood ratio order; copula function; STOCHASTIC PROPERTIES; LIFE;

D O I：

10.1080/03610926.2022.2070764

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 paper, sufficient conditions are presented for comparing the residual lifetimes and inactivity times of dependent random variables at different fixed times, with respect to hazard rate, mean residual life and likelihood ratio orders. The stochastic comparisons of residual lifetimes at different random times are discussed next. Several examples are presented to illustrate the established results.

引用

页码：8738 / 8748

页数：11

共 12 条

[1] Preservation of generalized ageing classes on the residual life at random time [J].