The paper is devoted to stochastic comparisons of series and parallel systems with vectors of component lifetimes sharing the same copula. We show that, under some conditions on the common copula, the series system with heterogeneous components is worse than the series system with homogeneous components having a common reliability function, which is equal to the average of the reliability functions of the heterogeneous components. However, we show that this property is not necessarily true for arbitrary copulas. We obtain similar properties for parallel systems and for general coherent systems. For these purposes, we introduce in our analysis the notion of the mean function of a copula.
Comparisons of series and parallel systems with components sharing the same copula. Appl. Stochastic Models in Business and Industry, / J., Navarro; Spizzichino, Fabio. - In: APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY. - ISSN 1524-1904. - STAMPA. - 26:(2010), pp. 775-791. [10.1002/asmb.819]
Comparisons of series and parallel systems with components sharing the same copula. Appl. Stochastic Models in Business and Industry,
SPIZZICHINO, Fabio
2010
Abstract
The paper is devoted to stochastic comparisons of series and parallel systems with vectors of component lifetimes sharing the same copula. We show that, under some conditions on the common copula, the series system with heterogeneous components is worse than the series system with homogeneous components having a common reliability function, which is equal to the average of the reliability functions of the heterogeneous components. However, we show that this property is not necessarily true for arbitrary copulas. We obtain similar properties for parallel systems and for general coherent systems. For these purposes, we introduce in our analysis the notion of the mean function of a copula.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.