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arXiv · 1807.09684

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

Caleb Deen Bastian·Grzegorz A. Rempala
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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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Caleb Deen Bastian, Grzegorz A. Rempala. 2018-07-25. Throwing Stones and Collecting Bones: Looking for Poisson-like Random Measures. https://doi.org/10.1002/mma.6224%2010.1002%2Fmma.6383

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