We propose a test of the hypothesis of stochastic monotonicity. This hypothesis is of interest in many applications in economics. Our test is based on the supremum of a rescaled U-statistic. We show that its asymptotic distribution is Gumbel. The proof is difficult because the approximating...

We propose a method to test a prediction of the distribution of a stochastic process. In a non-Bayesian non-parametric setting, a predicted distribution is tested using a realization of the stochastic process. A test associates a set of realizations for each predicted distribution, on which the...

Die vorliegende Arbeit untersucht Tests auf stochastische Dominanz, welche ein grundlegendes Konzept der Entscheidungstheorie ist. Hierbei konzentrieren wir uns auf stochastische Dominanz erster und zweiter Ordnung. Diese sind die beiden wichtigsten Entscheidungsregeln und finden Anwendung in...