Both the expected-utility maximization and the hierarchy property are very important properties in stochastic dominance. For almost stochastic dominance, Leshno and Levy (2002) propose a definition and Tzeng et al. (2013) modified it to give another definition. This note provides more...

This study establishes necessary conditions for Almost Stochastic Dominance criteria of various orders. These conditions take the form of restrictions on algebraic combinations of moments of the probability distributions in question. The relevant set of conditions depends on the relevant order...

Country indices as represented by iShares exhibit non-normal return distributions with both skewness and kurtosis. Davidson and Duclos (2000) and Memmel (2003) provide procedures for determining the statistical significance of stochastic dominance measures and the Sharpe Ratio, respectively....