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Negative Binomial Construction of Random Discrete Distributions on the Infinite Simplex

Ipsen, Yuguang; Maller, Ross


The Poisson-Kingman distributions, PK(ρ), on the infinite simplex, can be constructed from a Poisson point process having intensity density ρ or by taking the ranked jumps up till a specified time of a subordinator with Lévy density ρ, as proportions of the subordinator. As a natural extension, we replace the Poisson point process with a negative binomial point process having parameter r > 0 and Lévy density ρ, thereby defining a new class PK(r)(ρ) of distributions on the infinite simplex. The...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: Theory of Stochastic Processes
Access Rights: Open Access via publisher website


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