Stochastic comparisons of series, parallel and k-out-of-n systems with heterogeneous bathtub failure rate type components

Dhrubasish Bhattacharyya, Ruhul Ali Khan and Murari Mitra

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: In this paper, we explore stochastic comparisons of order statistics arising from a two parameter distribution with bathtub shaped failure rate. We obtain detailed results in the contexts of the usual stochastic order, the hazard rate order, the reversed hazard rate order and the likelihood ratio order for series, parallel and k-out-of-n systems. Results involving multivariate chain majorization are also established.

Keywords: k-out-of-n system; Stochastic order; Schur-convexity; Chain majorization; Convex transform order (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317613

DOI: 10.1016/j.physa.2019.123124

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