4 citations · 5 across the 3 of their papers we have counts for
7 papers
Models for Genetic Diversity Generated by Negative Binomial Point Processes
Yuguang F. Ipsen, Soudabeh Shemehsavar, Ross A. Maller
We develop a model based on a generalised Poisson-Dirichlet distribution for the analysis of genetic diversity, and illustrate its use on microsatellite data for the genus Dasyurus…
Trimmed Lévy Processes and their Extremal Components
Yuguang Ipsen, Ross Maller, Sidney Resnick
We analyse a trimmed stochastic process of the form , where is a driftless subordinator on with its jumps…
Negative Binomial Construction of Random Discrete Distributions on the Infinite Simplex
Yuguang Fan Ipsen, Ross A. Maller
The Poisson-Kingman distributions, , on the infinite simplex, can be constructed from a Poisson point process having intensity density or by taking the ranked j…
Convergence to stable limits for ratios of trimmed Levy processes and their jumps
Yuguang F. Ipsen, Peter Kevei, Ross A. Maller
We derive characteristic function identities for conditional distributions of an r-trimmed Levy process given its r largest jumps up to a designated time t. Assuming the underlying…
Ratios of Ordered Points of Point Processes with Regularly Varying Intensity Measures
Yuguang Ipsen, Ross Maller, Sidney Resnick
We study limiting properties of ratios of ordered points of point processes whose intensity measures have regularly varying tails, giving a systematic treatment which points the wa…
Generalised Poisson-Dirichlet Distributions and the Negative Binomial Point Process
Yuguang F. Ipsen, Ross A. Maller
When is an -stable subordinator, the sequence of ordered jumps of , up till time , omitting the largest of them, and taken as proportions of their s…