We consider two random vectors X and Y, such that the components of X are dominated in the convex order by the corresponding components of Y. We want to find conditions under which this implies that any positive linear combination of the components of X is dominated in the convex order by the...

Important business, public policy, and personal decisions typically involve multiple objectives, which in turn can be represented by multiple attributes, and uncertainty. Assessing both multiattribute utility and multivariate distributions for the attributes can be challenging. Moreover, big...

The sequence ≥nd of nth degree stochastic dominances for d-dimensional distribution functions is defined. It is shown that, under some regularity conditions, ≥nd implies ≥nd−1 for the (d−1) - dimensional marginals. Also some necessary conditions for ≥nd are established. These...

This book contains full bibliographic information (inclusive keywords) aboutthe literature on Stochastic Orderings and their Applications in the following fields: Choice under Risk, Finance, Inequality, Measurement, Economic Theory, Special Economic Applications, Decision Methodology, Queueing,...