Stochastic comparisons on total capacity of weighted k-out-of-n systems with heterogeneous components

Yiying Zhang

Statistical Theory and Related Fields, 2022, vol. 6, issue 1, 72-80

Abstract: This paper carries out stochastic comparisons on the total capacity of weighted k-out-of-n systems with heterogeneous components. The expectation order, the increasing convex/concave order and the usual stochastic order are employed to investigate stochastic behaviours of system capacity. Sufficient conditions are established in terms of majorisation-type orders between the vectors of component lifetime distribution parameters and the vectors of weights. Some examples are also provided as illustrations.

Date: 2022
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DOI: 10.1080/24754269.2021.1894402

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