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...

It has been in the literature since 1963 when Mandelbrot published The Variation of Certain Speculative Prices that returns on equity securities have heavy tails. In a 2014 article, Harris derives a mathematical reason these tails must be heavy. This proof in turn excludes mean-variance finance...

Asymptotic and bootstrap tests are studied for testing whether there is a relation of stochastic dominance between two distributions. These tests have a null hypothesis of nondominance, with the advantage that, if this null is rejected, then all that is left is dominance. This also leads us to...