This work analyzes inclusion relationships among distribution classes for infinite-mean random variables and derives necessary and sufficient conditions for stochastic dominance preservation in convex combinations and compound binomial cases.
(2009).An introduction to the theory of functional equations and inequalities: Cauchy’s equation and Jensen’s inequality
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Further Developments on Stochastic Dominance for Convex Combinations of Infinite-Mean Random Variables
This work analyzes inclusion relationships among distribution classes for infinite-mean random variables and derives necessary and sufficient conditions for stochastic dominance preservation in convex combinations and compound binomial cases.