Mean Distances and Dependence Structures for Lifetimes of Systems With Shared Components

被引：1

作者：

Capaldo, Marco ^{[1
]}

Di Crescenzo, Antonio ^{[1
]}

Pellerey, Franco ^{[2
]}

机构：

[1] Univ Salerno, Dipartimento Matemat, Fisciano, Salerno, Italy

[2] Politecn Torino, Dipartimento Sci Matemat, Turin, Italy

来源：

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY | 2025年 / 41卷 / 02期

关键词：

copula; distortion function; Gini's mean difference; ROC curve; systems with shared components; COHERENT SYSTEMS; PARALLEL SYSTEMS; SERIES; BOUNDS; MODEL;

D O I：

10.1002/asmb.70002

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Distortion and copula functions represent powerful tools in the description of the reliability of some complex systems as functions of their components' reliability. On this aim, we study several pairs of reliability systems with one or more shared components, in the case when their lifetimes are independent and identically distributed or independent but not identically distributed. We focus on the dependence that arises from sharing components, often described by Marshall-Olkin copulas, making use of some distance measures related to the Gini's mean difference and its new recent generalizations. A special role is played by a new distortion function related to the ROC curve.

引用

页数：13

共 30 条

[1] On conditional residual lifetimes of coherent systems consisting of components with discrete lifetimes [J].

Jasinski, Krzysztof .

METRIKA, 2023, 86 (02) :205-218

[2] On Allocating One Active Redundancy to Coherent Systems with Dependent and Heterogeneous Components' Lifetimes [J].

Fang, Rui ;

Li, Xiaohu .

NAVAL RESEARCH LOGISTICS, 2016, 63 (04) :335-345

[3] On conditional residual lifetimes of coherent systems consisting of components with discrete lifetimes [J].

Krzysztof Jasiński .

Metrika, 2023, 86 :205-218

[4] Mean time to failure of systems with dependent components [J].

Lai, Chin-Diew ;

Lin, Gwo Dong .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 246 :103-111

[5] SYSTEMS WITH FAILURE-DEPENDENT LIFETIMES OF COMPONENTS [J].

Burkschat, M. .

JOURNAL OF APPLIED PROBABILITY, 2009, 46 (04) :1052-1072

[6] Stochastic Comparisons on the Residual Lifetimes of Series Systems with Arbitrary Components using Copulas [J].

Salehi, Ebrahim ;

Hashemi-Bosra, Seyyed Shahrokh .

JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY, 2022, 21 (02) :51-72

[7] Regression mean residual life of a system with three dependent components with normal lifetimes [J].

Madadi, Mohsen ;

Khalilpoor, Parisa ;

Jamalizadeh, Ahad .

STATISTICS & PROBABILITY LETTERS, 2015, 100 :182-191

[8] Granule structures, distances and measures in neighborhood systems [J].

Chen, Yumin ;

Qin, Nan ;

Li, Wei ;

Xu, Feifei .

KNOWLEDGE-BASED SYSTEMS, 2019, 165 :268-281

[9] Stochastic treatment of finite-N effects in mean-field systems and its application to the lifetimes of coherent structures [J].

Ettoumi, W. ;

Firpo, M-C. .

PHYSICAL REVIEW E, 2011, 84 (03)

[10] Stochastic Comparisons Between Lifetimes of Reliability Systems with Exchangeable Components [J].

Koutras, Markos V. ;

Triantafyllou, Ioannis S. ;

Eryilmaz, Serkan .

METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2016, 18 (04) :1081-1095

← 1 2 3 →