RecordNumber
3972
Author
Nadeb, Hossein
Crop_Body
Hossein Nadeb , and Hamzeh Torabi
Title of Article
Preservation of Stochastic Orderings of Interdependent Series and Parallel Systems by Componentwise Switching to Exponentiated Models
Title Of Journal
JIRSS
Publication Year
2021
Volum
20
Issue Number
2
Page
117-128
Keywords
Exponentiated Models , Max-stable Copulas , Parallel System , Series System , Stochastic Ordering
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 sucient condition for being finiteness
of the moments of the switched series and switched parallel systems.