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

Nadeb, Hossein; Torabi, Hamzeh

doi:10.52547/jirss.20.2.117

Volume 20, Issue 2 (12-2021) JIRSS 2021, 20(2): 117-128 | Back to browse issues page

‎ 10.52547/jirss.20.2.117

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Nadeb H, Torabi H. Preservation of Stochastic Orderings of Interdependent Series and Parallel Systems by Componentwise Switching to Exponentiated Models. JIRSS 2021; 20 (2) :117-128
URL: http://jirss.irstat.ir/article-1-744-en.html

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

Hossein Nadeb, Hamzeh Torabi

Department of Statistics, Yazd University, Yazd, Iran. , honadeb@yahoo.com

Abstract: (879 Views)

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

Full-Text [PDF 143 kb] (1351 Downloads)

Type of Study: Original Paper | Subject: 60Exx: Distribution theory
Received: 2021/02/22 | Accepted: 2021/09/29 | Published: 2022/04/12

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