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On the Structure, Covering, and Learning of Poisson Multinomial Distributions

On the Structure, Covering, and Learning of Poisson Multinomial Distributions

An (n, k)-Poisson Multinomial Distribution (PMD) is the distribution of the sum of n independent random vectors supported on the set B k = {e 1 , . . ., e k } of standard basis vectors in R k .We prove a structural characterization of these distributions, showing that, …