Stochastic ordering properties for systems with dependent identically distributed components
Corresponding Author
Jorge Navarro
Facultad de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain
Correspondence to: Jorge Navarro, Facultad de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain.
E-mail: [email protected]
Search for more papers by this authorYolanda del Águila
Departamento de Estadística y Matemática Aplicada, Universidad de Almería, 04120 Almería, Spain
Search for more papers by this authorMiguel A. Sordo
Departamento de Estadística e Investigación Operativa, Facultad de Ciencias Económicas y Empresariales, Universidad de Cádiz, 11002 Cádiz, Spain
Search for more papers by this authorAlfonso Suárez-Llorens
Departamento de Estadística e Investigación Operativa, Facultad de Ciencias Económicas y Empresariales, Universidad de Cádiz, 11002 Cádiz, Spain
Search for more papers by this authorCorresponding Author
Jorge Navarro
Facultad de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain
Correspondence to: Jorge Navarro, Facultad de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain.
E-mail: [email protected]
Search for more papers by this authorYolanda del Águila
Departamento de Estadística y Matemática Aplicada, Universidad de Almería, 04120 Almería, Spain
Search for more papers by this authorMiguel A. Sordo
Departamento de Estadística e Investigación Operativa, Facultad de Ciencias Económicas y Empresariales, Universidad de Cádiz, 11002 Cádiz, Spain
Search for more papers by this authorAlfonso Suárez-Llorens
Departamento de Estadística e Investigación Operativa, Facultad de Ciencias Económicas y Empresariales, Universidad de Cádiz, 11002 Cádiz, Spain
Search for more papers by this authorAbstract
In this paper, we obtain ordering properties for coherent systems with possibly dependent identically distributed components. These results are based on a representation of the system reliability function as a distorted function of the common component reliability function. So, the results included in this paper can also be applied to general distorted distributions. The main advantage of these results is that they are distribution-free with respect to the common component distribution. Moreover, they can be applied to systems with component lifetimes having a non-exchangeable joint distribution. Copyright © 2012 John Wiley & Sons, Ltd.
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