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Stochastic ordering properties for systems with dependent identically distributed components
Author(s) -
Navarro Jorge,
Águila Yolanda,
Sordo Miguel A.,
SuárezLlorens Alfonso
Publication year - 2012
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.1917
Subject(s) - independent and identically distributed random variables , component (thermodynamics) , reliability (semiconductor) , representation (politics) , function (biology) , stochastic ordering , computer science , distribution (mathematics) , distribution function , statistical physics , mathematics , mathematical optimization , random variable , statistics , mathematical analysis , physics , power (physics) , quantum mechanics , evolutionary biology , politics , political science , biology , law , thermodynamics
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.