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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.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,…