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Citation - WoS: 22
Citation - Scopus: 23
On Residual Lifetime of Coherent Systems After the rth Failure
(Springer, 2013) Eryilmaz, Serkan
In this article we study the residual lifetime of a coherent system after the rth failure, i.e. the time elapsed from the rth failure until the system failure given that the system operates at the time of the rth failure. We provide a mixture representation for the corresponding residual lifetime distribution in terms of signature. We also obtain some stochastic ordering results for the residual lifetimes.
Citation - WoS: 4
Citation - Scopus: 4
Relative Behavior of a Coherent System With Respect To Another Coherent System
(Springer, 2015) Eryilmaz, Serkan; Tutuncu, G. Yazgi
In this paper, two independent coherent systems with different structures, and different types of components are considered. The remaining lifetime and the remaining number of working components of system I after the failure of the system II when we know that the system II fails before the system I are studied. In particular, signature-based expressions are obtained for the distribution of these conditional random variables. Illustrative examples are provided.