Distortion functions aimed at converting standard distribution functions for the
premium calculation was introduced by Yaari (1987) and Wang (1996) are useful
tools in generalizing of standard distribution functions. Distorted copulas are one...

Environmental factors such as temperature, humidity, dust, fumes or corrosive agents often

have considerable influence on system reliability characteristics. In this paper, we assume

that the effect of the ...

several distortion functions are studied. Furthermore, the changes in the residual stress- strength reliability, the mean remaining strength and the number of working components of a system are investigated when the original distributions have been...

Given a distortion function $g:[0,1]rightarrow [0,1]$, we examine under

what conditions some univariate stochastic orders preserve distortion and after that

we extend our work to bivariate stochastic orders under distortions with...

Stochastic orders have shown to be useful notions in several areas of economics,

the inequality analysis, risk analysis, reliability or portfolio insurance. Since the

1970, stochastic dominance rules have ...