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June 2013 Asymptotic bahavior of the Moran particle system
Shui Feng, Jie Xiong
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Adv. in Appl. Probab. 45(2): 379-397 (June 2013). DOI: 10.1239/aap/1370870123

Abstract

The asymptotic behavior is studied for an interacting particle system that involves independent motion and random sampling. For a fixed sampling rate, the empirical process of the particle system converges to the Fleming-Viot process when the number of particles approaches . If the sampling rate approaches 0 as the number of particles becomes large, the corresponding empirical process will converge to the deterministic flow of the motion. In the main results of this paper, we study the corresponding central limit theorems and large deviations. Both the Gaussian limits and the large deviations depend on the sampling scales explicitly.

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Shui Feng. Jie Xiong. "Asymptotic bahavior of the Moran particle system." Adv. in Appl. Probab. 45 (2) 379 - 397, June 2013. https://doi.org/10.1239/aap/1370870123

Information

Published: June 2013
First available in Project Euclid: 10 June 2013

zbMATH: 1271.60103
MathSciNet: MR3102456
Digital Object Identifier: 10.1239/aap/1370870123

Subjects:
Primary: 60F10
Secondary: 92D10

Rights: Copyright © 2013 Applied Probability Trust

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Vol.45 • No. 2 • June 2013
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