Testing Hypotheses About Absolute Concentration Curves and Marginal Conditional Stochastic Dominance

We consider statistical tests concerning various relationships between two absolute concentration curves (ACC). In particular, we consider tests for determining if the two ACC's coincide, one is above another in a specified order, or do not intersect without specifying which one is above/below the other one. These problems are of interest in the context of marginal conditional stochastic dominance (MCSD).Constructing statistical tests for the MCSD rely on ideas as well as on their modifications developed by Whang, Linton and Maasoumi (2005) in the context of stochastic dominance for distribution functions. Our theoretical considerations are supplemented with a simulation study