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...

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,...

Consider a general coherent system with independent or dependent components, and assume that the components are randomly chosen from two different stocks, with the components of the first stock having better reliability than the others. Then here we provide sufficient conditions on the...

<Para ID="Par1">In order to take into account any possible dependence between alternatives in optimization problems, bivariate characterizations of some well-know univariate stochastic orders have been defined and studied by Shanthikumar and Yao (Adv Appl Probab 23:642–659, <CitationRef CitationID="CR15">1991</CitationRef>). These characterizations gave...</citationref></para>

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>

Different sufficient conditions for stochastic comparisons between random vectors have been described in the literature. In particular, conditions for the comparison of random vectors having the same copula, i.e., the same dependence structure, may be found in Müller and Scarsini (2001). Here...