Multi-State Joint Survival Signature for Multi-State Systems with Shared Multi-State Components

被引：2

作者：

Yi, He ^{[1
]}

Balakrishnan, Narayanaswamy ^{[2
]}

Li, Xiang ^{[1
]}

机构：

[1] Beijing Univ Chem Technol, Beijing, Peoples R China

[2] McMaster Univ, Hamilton, ON, Canada

来源：

METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY | 2023年 / 25卷 / 01期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Multi-state joint survival signature; Multi-state joint signature; Multi-state systems; Equivalent system; Generalized triangle rule; Systems with shared components; Stochastic comparisons; COHERENT SYSTEMS;

D O I：

10.1007/s11009-023-10023-4

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, the multi-state joint survival signature is proposed for two multi-state semi-coherent or mixed systems with shared independent and identically distributed (i.i.d.) multi-state components, and then its properties are studied along with the related multi-state joint signature. By using the idea of equivalent systems, generalized triangle rule for order statistics and the independence assumption of component lifetimes at different states, transformation formulas of multi-state joint survival signatures of different sizes are presented so that stochastic comparisons of multi-state semi-coherent or mixed system pairs that share different numbers of multi-state components can be carried out. For illustrating the theoretical results established here, some examples are presented. Finally, some concluding remarks are made.

引用

页数：18

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