In this paper, through the monotonicity property of reversed hazards ratio, a new stochastic ordering is introduced. Two well-known parametric families of distributions are proved to be ordered with respect to their ...

The concept of residual probability plays an important role in reliability and life testing. In this investigation, we study further the residual probability order and its related aging classes. Several characterizations ...

The concept of mean residual life plays an important role in reliability and life testing. In this paper, we introduce and study a new stochastic order called proportional mean residual life order. Several characterizations ...

In this paper, we investigate conditions under which a given positive dependence structure for a bivariate distribution is also preserved for its corresponding bivariate weighted distribution. The results can be simplicity ...

In this paper, we derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed

preservation properties as straightforward conclusions ...

The hazard rate order between two weighted distributions with a given weight function is considered as a new stochastic order called weighted hazard rate order. The influences of biased sampling methods on properties of ...

In this paper, using several notions of univariate stochastic orders, we present some stochastic

representations of various positive dependence concepts and the related positive dependence orders. Based on this ...

A bivariate family of copulas has been initiated by Cuadras-Aug´e (1981) and

Marshall (1996). Recently Durante (2007) has considered this family as a general

family of symmetric bivariate copulas indexed by ...

In this paper, we first provide conditions for preservation of the mean residual life (mrl) order under

weighting. Then we apply the obtained results to establish our results about preservation of the decreasing

mrl ...

In this article, we apply univariate characterizations of some monotonic aging

classes to investigate the preservation problem of those classes and stochastic orders

under weighting. The results are also ...