Dependence of exchangeable residual lifetimes subject to failure

We provide exact formulas about the survival copula of an exchangeable random vector of residual lifetimes when some of the components have failed. Specific computations are carried out in the case of Archimedean copulas and the evolution of dependence after successive failures of some components is...

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Veröffentlicht in:Applied mathematics and computation 2014-05, Vol.235, p.502-511
Hauptverfasser: Durante, Fabrizio, Foschi, Rachele
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container_title Applied mathematics and computation
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creator Durante, Fabrizio
Foschi, Rachele
description We provide exact formulas about the survival copula of an exchangeable random vector of residual lifetimes when some of the components have failed. Specific computations are carried out in the case of Archimedean copulas and the evolution of dependence after successive failures of some components is shown numerically via measures of association.
doi_str_mv 10.1016/j.amc.2014.02.069
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source ScienceDirect Journals (5 years ago - present)
subjects Computation
Copula
Dependence
Evolution
Exchange
Failure
Lifetime
Mathematical analysis
Mathematical models
Risk Models
Survival
Survival analysis
Vectors (mathematics)
title Dependence of exchangeable residual lifetimes subject to failure
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