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Tests for multivariate normality -- a critical review with emphasis on weighted -statistics
Bruno Ebner, Norbert Henze
This article gives a synopsis on new developments in affine invariant tests for multivariate normality in an i.i.d.-setting, with special emphasis on asymptotic properties of sever…
On combining the zero bias transform and the empirical characteristic function to test normality
Bruno Ebner
We propose a new powerful family of tests of univariate normality. These tests are based on an initial value problem in the space of characteristic functions originating from the f…
Testing multivariate uniformity based on random geometric graphs
Bruno Ebner, Franz Nestmann, Matthias Schulte
We present new families of goodness-of-fit tests of uniformity on a full-dimensional set based on statistics related to edge lengths of random geometric graphs. Asym…
Fixed point characterizations of continuous univariate probability distributions and their applications
Steffen Betsch, Bruno Ebner
By extrapolating the explicit formula of the zero-bias distribution occurring in the context of Stein's method, we construct characterization identities for a large class of absolu…