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Conditional Lifetimes of Consecutive k -Out-of- n Systems

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1 Author(s)
Serkan Eryilmaz ; Department of Mathematics, Izmir University of Economics, Balcova, Izmir , Turkey

We study the conditional lifetimes of consecutive k-out-of-n systems. We provide explicit representations for the conditional survival functions of these systems when 2k ?? n. The mean residual life functions are obtained, and ordering results are provided. A signature-based evaluation of residual lifetimes is also presented, and some stochastic comparison results are obtained for particular consecutive systems.

Published in:

IEEE Transactions on Reliability  (Volume:59 ,  Issue: 1 )