Limit theorems for discrete-time metapopulation models
F.M. Buckley and P.K. Pollett
Source: Probab. Surveys Volume 7
(2010), 53-83.
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.
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Permanent link to this document: http://projecteuclid.org/euclid.ps/1273670365
Digital Object Identifier: doi:10.1214/10-PS158
Mathematical Reviews number (MathSciNet): MR2645217
Zentralblatt MATH identifier: 1194.60024
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