Preservation Of Stochastic Orders Research Articles

Preservation of some stochastic orders by distortion functions with application to coherent systems with exchangeable components

AbstractThe preservation of stochastic orders by distortion functions has become a topic of increasing interest in the reliability analysis of coherent systems. The reason of this interest is that the reliability function of a coherent system with identically distributed components can be represented as a distortion function of the common reliability function of the components. In this framework, we study the preservation of the excess wealth order, the total time on test transform order, the decreasing mean residual live order, and the quantile mean inactivity time order by distortion functions. The results are applied to study the preservation of these stochastic orders under the formation of coherent systems with exchangeable components.

Some New Results on the Preservation of Stochastic Orders and Aging Classes under Random Minima and Maxima‎

Some New Results on the Preservation of Stochastic Orders and Aging Classes under Random Minima and Maxima‎

Preservation of Stochastic Orders under the Formation of Generalized Distorted Distributions. Applications to Coherent Systems

The preservation of stochastic orders under the formation of coherent systems is a relevant topic in the reliability theory. Several properties have been obtained under the assumption of identically distributed components. In this paper we obtain ordering preservation results for generalized distorted distributions (GDD) which, in particular, can be used to obtain preservation results for coherent systems with non-identically distributed components. We consider both the cases of independent and dependent components. The preservation results obtained here for GDD can also be applied to other statistical concepts.