Summary This note investigates the structure of dominance relations in daily returns of 32 German assets during the 1990s. We focus on stochastic dominance of first, second and third order but meanvariance and mean-Gini dominance is also considered. Efficient (i. e., nondominated) sets of assets...

This paper deals with nonparametric inference for second order stochastic dominance of two random variables. If their distribution functions are unknown they have to be inferred from observed realizations. Thus, any results on stochastic dominance are influenced by sampling errors. We establish...

An L1-variant of the Cramer-von Mises test statistic for the one sample test of fit problem is presented. Quantiles of the sampling distribution under the null hypothesis are derived by Monte-Carlo Simulation. The power of the new test is compared to those of other, conventional one sample...

A nonparametric test for second-order stochastic dominance is introduced in the framework of the one sample problem. It is based on a supremum statistic which is suitable for second-order problems. Its asymptotic distribution is identified and quantiles of the finite sample and asymptotic...