We study non-parametric tests for checking parametric hypotheses about a multivariate density f of independent identically distributed random vectors Z1,Z2,... which are observed under additional noise with density [psi]. The tests we propose are an extension of the test due to Bickel and...

Eine Einführung in die deskriptive, explorative und schliessende Statistik mit einer Zusammenfassung von benötigten mathematischen Vorwissen im Anhang. Rezension: Neben Grundlagen geht der Autor auf weiterführende Themen der Statistik, wie zum Beispiel Markov-Ketten, Zeitreihenanalyse und...

type="main" xml:id="rssb12047-abs-0001" <title type="main">Summary</title> <p>We introduce a new estimator, the simultaneous multiscale change point estimator SMUCE, for the change point problem in exponential family regression. An unknown step function is estimated by minimizing the number of change points over the...</p>

It is shown how to choose the smoothing parameter in image denoising by a statistical multiresolution criterion, both globally and locally. Using inhomogeneous diffusion and total variation regularization as examples for localized regularization schemes, an efficient method for locally adaptive...