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Article Dans Une Revue Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Année : 2016

First and second order expansions in the central limit theorem for a branching random walk

Résumé

We give the first-and second-order asymptotic expansions for the central limit theorem about the distribution of particles in a branching random walk on the real line. In particular, our first-order expansion reveals the exact convergence rate in the central limit theorem; it extends and improves a known result for the branching Wiener process.

Dates et versions

hal-01448903 , version 1 (29-01-2017)

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Zhiqiang Gao, Quansheng Liu. First and second order expansions in the central limit theorem for a branching random walk. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2016, 354, pp.532-537. ⟨10.1016/j.crma.2016.01.021⟩. ⟨hal-01448903⟩
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