Structure of exchangeable infinitely divisible sequences of poisson random vectors
De Finetti's Theorem reveals a simple explicit structure for an infinite exchangeable sequence of zero-one random variables. Although more general results are known, simple explicit results might be expected in particular settings. In this paper such results are obtained for exchangeable sequences of infinitely divisible Poisson random variables and random vectors. The methods employed are elementary, except in that they involve appeal to moment theorems.
Year of publication: |
1986
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Authors: | Griffiths, Robert C. ; Milne, Robin K. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 22.1986, 1, p. 145-160
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Publisher: |
Elsevier |
Keywords: | exchangeability Poisson random variables Poisson random vector moment theorems |
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