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Countable representation for infinite dimensional diffusions derived from the two-parameter Poisson-Dirichlet process

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Countable representation for infinite dimensional diffusions derived from the two-parameter Poisson-Dirichlet process
2.	Creator	Author's name, affiliation, country	Matteo Ruggiero; University of Pavia
2.	Creator	Author's name, affiliation, country	Stephen G. Walker; University of Kent
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Two-parameter Poisson-Dirichlet process; population process; infinite-dimensional diffusion; stationary distribution; Gibbs sampler
3.	Subject	Subject classification	60G57; 60J60; 92D25
4.	Description	Abstract	This paper provides a countable representation for a class of infinite-dimensional diffusions which extends the infinitely-many-neutral-alleles model and is related to the two-parameter Poisson-Dirichlet process. By means of Gibbs sampling procedures, we define a reversible Moran-type population process. The associated process of ranked relative frequencies of types is shown to converge in distribution to the two-parameter family of diffusions, which is stationary and ergodic with respect to the two-parameter Poisson-Dirichlet distribution. The construction provides interpretation for the limiting process in terms of individual dynamics.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2009-11-26
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1508
10.	Identifier	Digital Object Identifier	10.1214/ECP.v14-1508
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 14
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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