Preservation of increasing convex/concave order under the formation of parallel/series system of dependent components

Chen Li () and Xiaohu Li
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Chen Li: Tianjin University of Commerce
Xiaohu Li: Stevens Institute of Technology

Metrika: International Journal for Theoretical and Applied Statistics, 2018, vol. 81, issue 4, No 4, 445-464

Abstract: Abstract This paper investigates sufficient conditions for preservation property of the increasing convex order and the increasing concave order under the taking of maximum and minimum of statistically dependent random variables, respectively. As applications, we develop the preservation of NBUC and NBU(2) aging properties respectively under the parallel and series systems of components with statistically dependent lifetimes. Some copulas are presented as illustrations on statistical dependence structure satisfying the sufficient condition as well.

Keywords: Copula; Increasing concave order; Increasing convex order; Parallel systems; NBUC; NBU(2); Series systems (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00184-018-0651-6

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