34 citations · 54 across the 9 of their papers we have counts for
11 papers
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…
Approximating the null distribution of generalized distance covariance
Dominic Edelmann
The null distribution of distance covariance is usually approximated by permutation, which is prohibitive when very small p-values are needed, or by matching a few moments to a par…
Omnibus Goodness-of-Fit Testing for Distributions on Stiefel Manifolds
Dominic Edelmann, Donald Richards
In this article, a comprehensive framework for goodness-of-fit testing for distributions on Stiefel manifolds is developed. The approach is based on integrals of the squared differ…
A Basic Treatment of the Distance Covariance
Dominic Edelmann, Tobias Terzer, Donald Richards
The distance covariance of Székely, et al. [23] and Székely and Rizzo [21], a powerful measure of dependence between sets of multivariate random variables, has the crucial feature…
Product Inequalities for Multivariate Gaussian, Gamma, and Positively Upper Orthant Dependent Distributions
Dominic Edelmann, Donald Richards, Thomas Royen
The Gaussian product inequality is an important conjecture concerning the moments of Gaussian random vectors. While all attempts to prove the Gaussian product inequality in full ge…
Testing for genetic interactions in complex disease with distance correlation
Fernando Castro-Prado, Javier Costas, Dominic Edelmann +2
Understanding epistasis (genetic interaction) may shed some light on the genomic basis of common diseases, including disorders of maximum interest due to their high socioeconomic b…
An Updated Literature Review of Distance Correlation and its Applications to Time Series
Dominic Edelmann, Konstantinos Fokianos, Maria Pitsillou
The concept of distance covariance/correlation was introduced recently to characterize dependence among vectors of random variables. We review some statistical aspects of distance…
The Distance Standard Deviation
Dominic Edelmann, Donald Richards, Daniel Vogel
The distance standard deviation, which arises in distance correlation analysis of multivariate data, is studied as a measure of spread. The asymptotic distribution of the empirical…
Distance Correlation Coefficients for Lancaster Distributions
Johannes Dueck, Dominic Edelmann, Donald Richards
We consider the problem of calculating distance correlation coefficients between random vectors whose joint distributions belong to the class of Lancaster distributions. We derive…
A Generalization of an Integral Arising in the Theory of Distance Correlation
Johannes Dueck, Dominic Edelmann, Donald Richards
We generalize an integral which arises in several areas in probability and statistics and which is at the core of the field of distance correlation, a concept developed by Székely,…
The affinely invariant distance correlation
Johannes Dueck, Dominic Edelmann, Tilmann Gneiting +1
Székely, Rizzo and Bakirov (Ann. Statist. 35 (2007) 2769-2794) and Székely and Rizzo (Ann. Appl. Statist. 3 (2009) 1236-1265), in two seminal papers, introduced the powerful concep…