Stochastically ordered random variables with given marginal distributions are combined into a joint distribution preserving the ordering and the marginals using a maximum entropy formulation. A closed-form expression is obtained. An application is in default estimation for different portfolio...

It is already known, under certain conditions including stochastic inequalities, the comparison of moments. In this paper, we will study in detail the reverse of this problem, that is, the stochastic orderings implied by moments inequalities. We will limit our study to the absolute value of...

This paper builds on a recent article in Management Science by Milne and Neave and is concerned with the duality relationship between the definition of a stochactic dominance ordering and the disturbance which added to the dominating random variable gives the dominated one. We show that such...