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

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 su ffi cient condition for being finiteness of the moments of the switched series and switched parallel systems.