Journal of the Iranian Statistical Society

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

Authors

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

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Journal of the Iranian Statistical Society
Volume 20, Issue 2
December 2021
Pages 117-128
  • Receive Date: 23 July 2022
  • Revise Date: 14 May 2024
  • Accept Date: 23 July 2022