Steffen Betsch

activity

20182022

most citedFixed point characterizations of continuous univariate probability distributions and their applications

26 citations · 108 across the 8 of their papers we have counts for

collaborators

Showing 2018 · stat.MEShow all

2 papers · 2 filters

stat.ME2018★ 25 cited

A new characterization of the Gamma distribution and associated goodness of fit tests

Steffen Betsch, Bruno Ebner

We propose a class of weighted $L_{2}$ -type tests of fit to the Gamma distribution. Our novel procedure is based on a fixed point property of a new transformation connected to a Stei…

stat.ME2018★ 18 cited

Testing normality via a distributional fixed point property in the Stein characterization

Steffen Betsch, Bruno Ebner

We propose two families of tests for the classical goodness-of-fit problem to univariate normality. The new procedures are based on $L^{2}$ -distances of the empirical zero-bias trans…