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Circular consecutive k-out-of-n systems with exchangeable dependent components
Authors:Serkan Ery?lmaz
Institution:Izmir University of Economics, Department of Mathematics, 35330 Balcova, Izmir, Turkey
Abstract:In this paper we study circular consecutive k-out-of-n systems consisting of exchangeable components. We derive explicit expressions for both unconditional and conditional survival functions for 2k+1≥n, while signature based mixture representations for general k are obtained. The applications and computational results concerned with mean residual life function and stochastic ordering are presented.
Keywords:Circular consecutive k-out-of-n systems  Exchangeable components  Order statistics  Multivariate pareto distribution  Multivariate log-logistic distribution  Signature  Stochastic ordering
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