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Throwing Stones and Collecting Bones: Looking for Poisson-like Random Measures

Published 25 Jul 2018 in math.PR | (1807.09684v3)

Abstract: We show that in a broad class of random counting measures one may identify only three that are rescaled versions of themselves when restricted to a subspace. These are Poisson, binomial and negative binomial random measures. We provide some simple examples of possible applications of such measures.

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