Center for Automated Learning and Discovery
School of Computer Science, Carnegie Mellon University
On Limiting Random Partition Structure Derived
from the Conditional Inverse Gaussian-Poisson Distribution
Nobuaki Hoshino*
February 2002
Note: This report is provided in a draft format and
should not be cited without the consent of the author.
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.
17 pages
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