34 citations · 49 across the 7 of their papers we have counts for
7 papers
Hyperdeterminantal Total Positivity
Kenneth W. Johnson, Donald St. P. Richards
For a given positive integer , the concept of hyperdeterminantal total positivity is defined for a kernel , thereby generalizing the cl…
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…
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…
Gaussian Random Particles with Flexible Hausdorff Dimension
Linda V. Hansen, Thordis L. Thorarinsdottir, Evgeni Ovcharov +2
Gaussian particles provide a flexible framework for modelling and simulating three-dimensional star-shaped random sets. In our framework, the radial function of the particle arises…
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…