Comparisons of k-out-of-n systems with heterogenous components

Weiyong Ding, Yiying Zhang and Peng Zhao

Statistics & Probability Letters, 2013, vol. 83, issue 2, 493-502

Abstract: The k-out-of-n structure is a very popular type of redundancy in fault-tolerant systems which has been widely applied in reliability engineering and system security. In this paper, we carry out stochastic comparisons between k-out-of-n systems with independent heterogeneous components with respect to various stochastic orders such as hazard rate order, mean residual life order, and reversed hazard rate order. Moreover, we also establish likelihood ratio ordering results of series and parallel systems in multiple-outlier models.

Keywords: Likelihood ratio order; Hazard rate order; Reversed hazard rate order; Mean residual life order; Multiple-outlier model (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2012.10.012

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