activity
20162026
most citedFixed point characterizations of continuous univariate probability distributions and their applications

26 citations · 52 across the 24 of their papers we have counts for

collaborators

26 papers

math.ST2026

Four-Moment Approximations and Fast -Values for BHEP Tests of Multivariate Normality

Bruno Ebner, Norbert Henze

The Baringhaus--Henze--Epps--Pulley (BHEP) tests form a widely applicable class of affine invariant and consistent tests for multivariate normality. Under the null hypothesis, the…

math.ST2026

Spectral Analysis of Gaussian Integral Operators Arising in BHEP Tests

Bruno Ebner, Dominic Edelmann, Norbert Henze +2

The Baringhaus-Henze-Epps-Pulley (BHEP) tests for multivariate normality are affine-invariant goodness-of-fit tests based on a Gaussian-weighted distance between empirical an…

stat.ME2026

A Stein Characterization-type Omnibus Tests for the Discrete Pareto Distribution

Deepesh Bhati, Bruno Ebner, Sakshi Khandelwal

The discrete Pareto (or Zeta, Zipf) distribution, arises naturally in modeling rank-frequency data across diverse fields such as linguistics, demography, biology, and computer scie…

math.ST2026

On Stein's test of uniformity on the hypersphere

Paul Axmann, Bruno Ebner, Eduardo García-Portugués

We propose a new test of uniformity on the hypersphere based on a Stein characterization associated with the Laplace-Beltrami operator. We identify a sufficient class of test funct…

math.ST2025

A goodness-of-fit test for the Zeta distribution with unknown parameter

Bruno Ebner, Daniel Hlubinka

We introduce a new goodness-of-fit test for count data on for the Zeta distribution with unknown parameter. The test is built on a Stein-type characterization that use…

math.ST2025

High-dimensional Sobolev tests on hyperspheres

Bruno Ebner, Eduardo García-Portugués, Thomas Verdebout

We derive the limit null distribution of the class of Sobolev tests of uniformity on the hypersphere as the dimension and the sample size diverge to infinity at arbitrary rates. Th…