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Conditional residual lifetimes of coherent systems under double monitoring

A. Parvardeh, N. Balakrishnan and Azam Arshadipour

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 7, 3401-3410

Abstract: In this paper, we obtain a mixture representation for the reliability function of the conditional residual lifetime of a coherent system with n independent and identically distributed (i.i.d.) components under double monitoring. We suppose that at time t1, j components have failed while at time t2 the system is still alive. Based on these mixture representation, we then study stochastic comparisons of the conditional residual lifetimes of two coherent systems with independent and identical components.

Date: 2017
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DOI: 10.1080/03610926.2015.1060348

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