离散时间元人口模型的极限定理

IF 1.3 Q2 STATISTICS & PROBABILITY

Probability Surveys Pub Date : 2010-01-01 DOI:10.1214/10-PS158

F. Buckley, P. Pollett

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引用次数: 46

摘要

我们描述了一类用于研究元种群(种群网络)的一维链二项式模型。建立了具有这些模型显著特征的时间非齐次马尔可夫链的极限定理。我们证明了一个大数定律，它可以用来识别近似的确定性轨迹，并证明了一个中心极限定理，该定理证明了该轨迹的尺度波动具有近似的自回归结构。

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Limit theorems for discrete-time metapopulation models

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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来源期刊

Probability Surveys STATISTICS & PROBABILITY-

CiteScore

4.70

自引率

0.00%

发文量