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

[21] Reliability analysis of consecutive k-out-of-n systems with non-identical components lifetimes [J].

Salehi, E. T. ;

Asadi, M. ;

Eryilmaz, S. .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2011, 141 (08) :2920-2932

[22] Comparisons in the mean residual life order of coherent systems with identically distributed components [J].

Navarro, Jorge ;

Gomis, M. Carmen .

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2016, 32 (01) :33-47

[23] On reliability of parallel and series systems of two three-state components with dependent functioning-state lifetimes [J].

Li, Chen ;

Li, Xiaohu .

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY, 2025,

[24] Reliability and Mean Residual Life of Complex Systems With Two Dependent Components Per Element [J].

Bayramoglu , Ismihan .

IEEE TRANSACTIONS ON RELIABILITY, 2013, 62 (01) :276-285

[25] Joint reliability of linear consecutive k-type systems with shared components in a zigzag structure [J].

Yi, He ;

Balakrishnan, Narayanaswamy ;

Li, Xiang .

RELIABILITY ENGINEERING & SYSTEM SAFETY, 2024, 241

[26] Stochastic Comparisons of Lifetimes of Series and Parallel Systems with Dependent Heterogeneous MOTL-G Components under Random Shocks [J].

Jiao, Liang ;

Yan, Rongfang .

SYMMETRY-BASEL, 2021, 13 (12)

[27] Stochastic comparison of lifetimes of two (n-k+1)-out-of-n systems with heterogeneous dependent components [J].

Rezapour, Mohsen ;

Alamatsaz, Mohammad Hossein .

JOURNAL OF MULTIVARIATE ANALYSIS, 2014, 130 :240-251

[28] Parallel and k-out-of-n: G systems with nonidentical components and their mean residual life functions [J].

Gurler, Selma ;

Bairamov, Ismihan .

APPLIED MATHEMATICAL MODELLING, 2009, 33 (02) :1116-1125

[29] The mean general residual lifetime of (n - k+1)- out-of-n systems with exchangeable components [J].

Salehi, E. ;

Hashemi-Bosra, S. S. .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (13) :6382-6400

[30] Multi-State Joint Survival Signature for Multi-State Systems with Shared Multi-State Components [J].

He Yi ;

Narayanaswamy Balakrishnan ;

Xiang Li .

Methodology and Computing in Applied Probability, 2023, 25

← 1 2 3 →