4 papers
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…
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…
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…
Testing multivariate normality by zeros of the harmonic oscillator in characteristic function spaces
Philip Dörr, Bruno Ebner, Norbert Henze
We study a novel class of affine invariant and consistent tests for normality in any dimension. The tests are based on a characterization of the standard -variate normal distrib…