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20122024
most citedThe affinely invariant distance correlation

34 citations · 49 across the 7 of their papers we have counts for

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math.ST2022★ 2 cited

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…

math.ST2017

Generalized Fréchet Bounds for Cell Entries in Multidimensional Contingency Tables

Caroline Uhler, Donald Richards

We consider the lattice, , of all subsets of a multidimensional contingency table and establish the properties of monotonicity and supermodularity for the marginalizat…

math.ST2015★ 13 cited

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…

math.ST2014

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,…

math.ST2012★ 34 cited

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…