Multivariate stochastic comparisons of sequential order statistics with non-identical components

被引：0

作者：

Sahoo, Tanmay ^{[1
]}

Hazra, Nil Kamal ^{[1
]}

Balakrishnan, Narayanaswamy ^{[2
]}

机构：

[1] Indian Inst Technol Jodhpur, Dept Math, Karwar 342037, India

[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

来源：

STATISTICAL PAPERS | 2024年 / 65卷 / 07期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Sequential k-out-of-n system; Sequential order statistics; Stochastic orders; OF-N SYSTEMS; AGING PROPERTIES; SAMPLE;

D O I：

10.1007/s00362-024-01558-w

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：

Sequential order statistics (SOS) are useful tools for modeling the lifetimes of systems wherein the failure of a component has a significant impact on the lifetimes of the remaining surviving components. The SOS model is a general model that contains most of the existing models for ordered random variables. In this paper, we consider the SOS model with non-identical components and then discuss various univariate and multivariate stochastic comparison results in both one-and two-sample scenarios.

引用

页码：4365 / 4404

页数：40

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