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...

This paper suggests a goodness-of-fit test for parametric families of Archimedean copulas for high dimensional distributions. The test statistic is based on the classical chi-square-statistic but has a nonstandard asymptotic distribution. Monte-Carlo simulations show that the test keeps the...

In this article we provide evidence for a rational bubble in S\&P 500 stock prices by applying a test for changing persistence under fractional integration proposed by Sibbertsen and Kruse (2007). We find strong evidence for stationary long memory before the estimated change point in 1955 and a...