Comparing the reliability of coherent systems with heterogeneous, dependent and distribution-free components

In recent years, there has been a growing interest in comparing the reliability of systems with dependent components. Most of the recent works consider Archimedean copulas to define the dependency structure of systems and examine specific familiy of distributions. In this work, we provide distributi...

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Detalhes bibliográficos
Autor: Torrado Robles, Nuria
Formato: artículo
Fecha de publicación:2021
País:España
Recursos:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/735480
Acesso em linha:https://hdl.handle.net/10486/735480
https://dx.doi.org/10.1080/16843703.2021.1963033
Access Level:acceso abierto
Palavra-chave:System reliability
parallel systems
stochastic comparisons
distorted distributions
copulas
majorization orders
Matemáticas
Descrição
Resumo:In recent years, there has been a growing interest in comparing the reliability of systems with dependent components. Most of the recent works consider Archimedean copulas to define the dependency structure of systems and examine specific familiy of distributions. In this work, we provide distribution-free results to compare, in the usual stochastic order under some majorization conditions, coherent systems with heterogeneous and dependent components where the dependency structure can be defined by any copula. Applications of our main results for specific copulas and different families of marginal distributions are also given