One purpose of this paper is to study the relationship of the dilation order ([less-than-or-equals, slant]dil) to two other stochastic orders: the mean residual life order ([less-than-or-equals, slant]mrl) and the increasing convex order ([less-than-or-equals, slant]icx). Regarding these orders,...

In this note we compare bivariate additive models with respect to their Pearson correlation coefficients, Kendall’s τ concordance coefficients, and Blomqvist β medial correlation coefficients. The conditions that enable the comparisons involve variability stochastic orders such as the...

In this note we provide new results of interest in the portfolio choice problem when the risky opportunities are correlated: for a general vector (X <Subscript>1</Subscript>, X <Subscript>2</Subscript>,..., X <Subscript> n </Subscript>) of risky opportunities we give new conditions for stochastic comparison among different portfolios choices and new necessary and...</subscript></subscript></subscript>

Consider two devices subjected to shocks arriving according to two identically defined counting processes. Let N1 and N2 be the random numbers of shocks until failure of the two devices, respectively, and let T1 and T2 be their random lifetimes. Conditions such that stochastic orders between N1...

The Laplace transform of residual lives order has been recently defined and studied in the literature to compare random lifetimes. Here, we prove that such stochastic order is equivalent to the well-known hazard rate order. As consequences, we get new characterizations of the hazard rate order...