Abstract
The goal of this paper is to study a new version of the look-down construction with selection. We show (see Theorem 1.2) convergence in probability, locally uniformly in t, as the population size N tends to infinity, towards the Wright–Fisher diffusion with selection.
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Acknowledgements
This work was partially supported by the ANR MANEGE (contract ANR-09-BLANC-0215-03). The authors wish to thank an anonymous referee, whose excellent and very detailed report permitted us to correct two errors and some imprecisions in an earlier version of this paper.
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Bah, B., Sow, A.B., Pardoux, E. (2012). A Look-Down Model with Selection. In: Decreusefond, L., Najim, J. (eds) Stochastic Analysis and Related Topics. Springer Proceedings in Mathematics & Statistics, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29982-7_1
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DOI: https://doi.org/10.1007/978-3-642-29982-7_1
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