A new family of conditional-dependence measures based on Spearman's rho is introduced. The corresponding multidimensional versions are established. Asymptotic distributional results are derived for related estimators which are based on the empirical copula. Particular emphasis is placed on a new...

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 mean-variance and mean-Gini dominance is also considered. Efficient (i. e., nondominated) sets of assets are...

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. We establish two methods to take the sampling error into account. The first one is based...

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...

Multivariate measures of association are considered which, in the bivariate case, coincide with the population version of Spearman's rho. For these measures, nonparametric estimators are introduced via the empirical copula. Their asymptotic normality is established under rather weak assumptions...