activity
20182023
most citedA new characterization of the Gamma distribution and associated goodness of fit tests

25 citations · 50 across the 7 of their papers we have counts for

collaborators

10 papers

math.ST2023

A unified approach to goodness-of-fit testing for spherical and hyperspherical data

Bruno Ebner, Norbert Henze, Simos Meintanis

We propose a general and relatively simple method for the construction of goodness-of-fit tests on the sphere and the hypersphere. The method is based on the characterization of pr…

math.ST2021

On the eigenvalues associated with the limit null distribution of the Epps-Pulley test of normality

Bruno Ebner, Norbert Henze

The Shapiro--Wilk test (SW) and the Anderson--Darling test (AD) turned out to be strong procedures for testing for normality. They are joined by a class of tests for normality prop…

stat.ME2021

A new omnibus test of fit based on a characterisation of the uniform distribution

Bruno Ebner, Shawn Liebenberg, Jaco Visagie

In this paper, we revisit the classical goodness-of-fit problems for univariate distributions; we propose a new testing procedure based on a characterisation of the uniform distrib…

stat.ME2020

On a new test of fit to the beta distribution

Bruno Ebner, Shawn C. Liebenberg

We propose a new -type goodness-of-fit test for the family of beta distributions based on a conditional moment characterisation. The asymptotic null distribution is identified…

math.ST2020

Testing normality in any dimension by Fourier methods in a multivariate Stein equation

Bruno Ebner, Norbert Henze, David Strieder

We study a novel class of affine invariant and consistent tests for multivariate normality. The tests are based on a characterization of the standard -variate normal distributio…

math.ST2019

A new test of multivariate normality by a double estimation in a characterizing PDE

Philip Dörr, Bruno Ebner, Norbert Henze

This paper deals with testing for nondegenerate normality of a -variate random vector based on a random sample of . The rationale of the test is that the…