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

@article{Bastian2018ThrowingSA,
  title={Throwing Stones and Collecting Bones: Looking for Poisson-like Random Measures},
  author={C. Bastian and G. Rempała},
  journal={arXiv: Probability},
  year={2018}
}
We show that in a broad class of probabilistic random 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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