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...

We derive a nonparametric test for constant (continuous) beta over a fixed interval of time. Continuous beta is defined as the ratio of the continuous covariation between an asset and observable risk factor (e.g., the market return) and the continuous variation of the latter. Our test is based...

This work develops change-point methods for statistics of high-frequency data. The main interest is the volatility of an Itô semi-martingale, which is discretely observed over a fixed time horizon. We construct a minimax-optimal test to discriminate different smoothness classes of the...

Multifractal processes reproduce some of the stylised features observed in financial time series, namely heavy tails found in asset returns distributions, and long-memory found in volatility. Multifractal scaling cannot be assumed, it should be established; however, this is not a straightforward...