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)
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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 |
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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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Stephen Walker |
Date Deposited: | 03 Oct 2012 21:58 UTC |
Last Modified: | 16 Feb 2021 12:42 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/31234 (The current URI for this page, for reference purposes) |
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