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Alpha-diversity processes and normalized inverse-Gaussian diffusions

Ruggiero, Matteo, Walker, Stephen G., Favaro, Stefano (2013) Alpha-diversity processes and normalized inverse-Gaussian diffusions. Annals of Applied Probability, 23 (1). pp. 386-425. ISSN 1050-5164. (doi:10.1214/12-AAP846) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31234)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1214/12-AAP846

Abstract

The infinitely-many-neutral-alleles model has recently been extended

of two-parameter Poisson-Dirichlet type. This paper introduces

different subclass of Gibbs partitions, induced by normalized inverse-

evolution of the frequencies of infinitely-many types together with

an alpha-diversity diffusion. Constructed as a dynamic version, relative

the latter is explicitly derived from an underlying population model

of a critical Galton-Watson branching process. The class of

generator on an appropriate domain, and shown to be the limit

types. Moreover, a discrete representation is provided by means

the particles are samples from a normalized inverse-Gaussian random

the two-parameter model is also discussed.

Item Type: Article
DOI/Identification number: 10.1214/12-AAP846
Uncontrolled keywords: Gibbs partitions, Poisson-Dirichlet, generalized gamma, infinitely-many-neutral-alleles model, time-varying mutation rate.
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Stephen Walker
Date Deposited: 03 Oct 2012 21:58 UTC
Last Modified: 29 May 2019 09:28 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/31234 (The current URI for this page, for reference purposes)
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