Translator Disclaimer
2012 Central limit approximations for Markov population processes with countably many types
Andrew Barbour, Malwina Luczak
Author Affiliations +
Electron. J. Probab. 17: 1-16 (2012). DOI: 10.1214/EJP.v17-1760

Abstract

When modelling metapopulation dynamics, the influence of a single patch on the metapopulation depends on the number of individuals in the patch. Since there is usually no obvious natural upper limit on the number of individuals in a patch, this leads to systems in which there are countably infinitely many possible types of entity. Analogous considerations apply in the transmission of parasitic diseases. In this paper, we prove central limit theorems for quite general systems of this kind, together with bounds on the rate of convergence in an appropriately chosen weighted $\ell_1$ norm.

Citation

Download Citation

Andrew Barbour. Malwina Luczak. "Central limit approximations for Markov population processes with countably many types." Electron. J. Probab. 17 1 - 16, 2012. https://doi.org/10.1214/EJP.v17-1760

Information

Accepted: 12 October 2012; Published: 2012
First available in Project Euclid: 4 June 2016

zbMATH: 1284.92079
MathSciNet: MR2988405
Digital Object Identifier: 10.1214/EJP.v17-1760

Subjects:
Primary: 92D30
Secondary: 60B12, 60J27

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.17 • 2012
Back to Top