Preservation of Stochastic Orderings of Interdependent Series and Parallel Systems by Componentwise Switching to Exponentiated Models

Authors
Hossein Nadeb
Hamzeh Torabi
Department of Statistics, Yazd University, Yazd, Iran.
10.52547/jirss.20.2.117
Abstract
This paper discusses the preservation of some stochastic orders between two interdependent series and parallel systems when the survival and distribution functions of all components switch to the exponentiated model. For the series systems, the likelihood ratio, hazard rate, usual, aging faster, aging intensity, convex transform, star, superadditive and dispersive orderings, and for the parallel systems the reversed hazard, usual, convex transform, star, superadditive and dispersive orderings are studied. Also, we present a necessary and sufficient condition for being finiteness of the moments of the switched series and switched parallel systems.
Keywords
Exponentiated models
max-stable copulas
parallel system
series system
stochastic ordering
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Journal of the Iranian Statistical Society
Volume 20, Issue 2
December 2021
Pages 117-128

  • Receive Date 23 July 2022