Structure of exchangeable infinitely divisible sequences of Poisson random vectors (Q1081197)

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scientific article; zbMATH DE number 3969774
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Structure of exchangeable infinitely divisible sequences of Poisson random vectors
scientific article; zbMATH DE number 3969774

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    Structure of exchangeable infinitely divisible sequences of Poisson random vectors (English)
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    1986
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    This paper provides a representation for the probability generating functions of exchangeable sequences of infinitely divisible Poisson random vectors. There is a detailed discussion of the structure of such sequences including a method for constructing them from a Poisson process on (0,1]. The proofs in the paper rely on a multivariate moment result which is of some independent interest.
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    generating functions of exchangeable sequences
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    infinitely divisible
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