26 citations · 108 across the 8 of their papers we have counts for
8 papers
Structural properties of Gibbsian point processes in abstract spaces
Steffen Betsch
In the language of random counting measures many structural properties of the Poisson process can be studied in arbitrary measurable spaces. We provide a similarly general treatise…
On the uniqueness of Gibbs distributions with a non-negative and subcritical pair potential
Steffen Betsch, Günter Last
We prove that the distribution of a Gibbs process with non-negative pair potential is uniquely determined as soon as an associated Poisson-driven random connection model (RCM) does…
Characterizations of non-normalized discrete probability distributions and their application in statistics
Steffen Betsch, Bruno Ebner, Franz Nestmann
From the distributional characterizations that lie at the heart of Stein's method we derive explicit formulae for the mass functions of discrete probability laws that identify thos…
New weighted -type tests for the inverse Gaussian distribution
J. S. Allison, S. Betsch, B. Ebner +1
We propose a new class of goodness-of-fit tests for the inverse Gaussian distribution. The proposed tests are weighted -type tests depending on a tuning parameter. We develop…
Minimum -distance estimators for non-normalized parametric models
Steffen Betsch, Bruno Ebner, Bernhard Klar
We propose and investigate a new estimation method for the parameters of models consisting of smooth density functions on the positive half axis. The procedure is based on a recent…
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…
A new characterization of the Gamma distribution and associated goodness of fit tests
Steffen Betsch, Bruno Ebner
We propose a class of weighted -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…
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 -distances of the empirical zero-bias trans…