Center for Automated Learning and Discovery
School of Computer Science, Carnegie Mellon University
On Limiting Random Partition Structure Derived
Note: This report is provided in a draft format and
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. 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.