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On Limiting Random Partition Structure Derived from the Conditional Inverse Gaussian-Poisson Distribution
註釋Abstract: "In the present article, we derive a new multivariate distribution that belongs to an exponential family through a limiting argument over the conditional inverse Gaussian-Poisson distribution proposed by Hoshino (2001b). The derived distribution can be used as a model of random partitioning of positive integers, which is relevant to applications in many fields such as statistical ecology, linguistics and statistical disclosure control to name a few. We clarify some properties of this distribution that are important in applications."