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math.ST2018
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…
math.ST2018
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…