Translator Disclaimer
2010 Limit theorems for discrete-time metapopulation models
F.M. Buckley, P.K. Pollett
Probab. Surveys 7(none): 53-83 (2010). DOI: 10.1214/10-PS158

Abstract

We describe a class of one-dimensional chain binomial models of use in studying metapopulations (population networks). Limit theorems are established for time-inhomogeneous Markov chains that share the salient features of these models. We prove a law of large numbers, which can be used to identify an approximating deterministic trajectory, and a central limit theorem, which establishes that the scaled fluctuations about this trajectory have an approximating autoregressive structure.

Citation

Download Citation

F.M. Buckley. P.K. Pollett. "Limit theorems for discrete-time metapopulation models." Probab. Surveys 7 53 - 83, 2010. https://doi.org/10.1214/10-PS158

Information

Published: 2010
First available in Project Euclid: 12 May 2010

zbMATH: 1194.60024
MathSciNet: MR2645217
Digital Object Identifier: 10.1214/10-PS158

Subjects:
Primary: 60J10, 92B05
Secondary: 60J80

Rights: Copyright © 2010 The Institute of Mathematical Statistics and the Bernoulli Society

JOURNAL ARTICLE
31 PAGES


SHARE
Vol.7 • 2010
Back to Top