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Contre-exemple au théorème de P.C. Consul sur la factorisation des distributions de Poisson généralisées |
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| Authors: | Grard Letac |
| Institution: | Gérard Letac |
| Abstract: | This note exhibits two independent random variables on integers, X1 and X2, such that neither X1 nor X2 has a generalized Poisson distribution, but X1 + X2 has. This contradicts statements made by Professor Consul in his recent book. |
| Keywords: | Decomposition of probability laws Abel natural exponential families generalized Poisson distribution |