The total time on test transform has been used in reliability to compare two random lifetimes. Despite that it has been used widely in this context, it is not very clear in which sense the random variables are being compared. In this paper we provide a characterization which reveals the true...

In this paper, we consider the comparison of parametric families of income distributions in terms of inequality and relative deprivation, which are two important aspects for understanding the concentration of incomes in a population. Based on inequalities of their parameters, we give sufficient,...

In this paper we consider the problem of optimal allocation of a redundant component for series, parallel and k-out-of-n systems of more than two components, when all the components are dependent. We show that for this problem is naturally to consider multivariate extensions of the joint...

In this paper, we consider a new criterion to compare risks based on the notion of expected proportional shortfall. This criterion is useful for comparing risks of different nature and does not depend on the base currency. We study its relationships with other criteria and provide some...

In this paper, we establish some comparison results of two coherent structures formed from a set of components or from two sets of components with respect to some shifted and proportional stochastic orders. Both cases, independent and identically distributed and not necessarily identically...

We study the relationship between the multivariate dispersive orders based on the standard construction. In particular those given by Shaked and Shanthikumar [1998. Two variability orders. Probab. Eng. Inform. Sci. 12, 1-23] and Fernández-Ponce and Suárez-Llorens [2003. A multivariate...

The purpose of this paper is to study new notions of stochastic comparisons and aging classes based on the Laplace transform order of residual lives. We give relationships to other stochastic orders and aging classes given previously. Finally we study some applications to shock models.

The purpose of this paper is to give conditions on the parameters of nonhomogeneous Poisson and nonhomogeneous pure birth processes, under which the corresponding random vector of the first n epoch times has some multivariate stochastic properties. These results provide an inside to understand...