Applications of average and projected systems to the study of coherent systems
In this paper, we introduce the concepts of average and projected systems associated to a coherent (parent) system. We analyze several aspects of these notions and show that they can be useful tools in studying the performance of coherent systems with non-exchangeable components. We show that the average and projected systems are especially useful in studying the tail behavior of reliability, hazard rate and mean residual life functions of the parent system and also in obtaining the tail best systems (under different criteria) by permuting the components at the system structure. Moreover, they can be useful in assessing how the asymmetry of the joint distribution of the component lifetimes (with respect to permutations of the components in the system structure) affects the system performance.
Year of publication: |
2010
|
---|---|
Authors: | Navarro, Jorge ; Spizzichino, Fabio ; Balakrishnan, N. |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 101.2010, 6, p. 1471-1482
|
Publisher: |
Elsevier |
Keywords: | Coherent systems k-out-of-n systems Order statistics Signature Hazard rate Mean residual life |
Saved in:
Online Resource
Saved in favorites
Similar items by person
-
On the relationships between copulas of order statistics and marginal distributions
Navarro, Jorge, (2010)
-
On the application and extension of system signatures in engineering reliability
Navarro, Jorge, (2008)
-
Study of some measures of dependence between order statistics and systems
Navarro, Jorge, (2010)
- More ...