The minimisation of the return variance is one of the classical topics of portfolio theory. One of the main difficulties of variance minimisation is the neccessary input factors- variances and covariances- of the assets of the investment universe- are unknown. Often these variances and...

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...

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...