26 citations · 52 across the 24 of their papers we have counts for
18 papers · 1 filter
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…
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…
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…
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…
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…
Eigenvalues approximation of integral covariance operators with applications to weighted statistics
Bruno Ebner, María Dolores Jiménez-Gamero, Bojana Milošević
Finding the eigenvalues connected to the covariance operator of a centred Hilbert-space valued Gaussian process is genuinely considered a hard problem in several mathematical disci…