In this paper we discuss the properties of the orderings of positive dependence introduced by Hollander et al. (1990) as generalizing the bivariate positive dependence concepts of left-tail decreasing (LTD) and right-tail increasing (RTI) studied by Esary and Proschan (1972). We show which of...

The task of comparing two random vectors with respect to some multivariate stochastic ordering usually involves an infinite number of comparisons. Dyckerhoff and Mosler (1997) proved that, when the random vectors have finite supports, this task, for some orderings, can be simplified by...