Asymptotic expansions and precise deviations in the Kingman coalescent

DOI10.1214/21-ECP375zbMath1493.60020OpenAlexW3158723312MaRDI QIDQ2064815

Youzhou Zhou, Yujing Wang, Fu Qing Gao

Publication date: 6 January 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/21-ecp375

zbMATH Keywords

Edgeworth expansionBerry-Esseen boundKingman coalescentmod-\( \phi\) convergenceprecise deviations

Mathematics Subject Classification ID

Combinatorial probability (60C05) Large deviations (60F10)

Cites Work

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• Asymptotic line-of-descent distributions
• The coalescent
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• Precise deviations for Hawkes processes
• Some large deviations in Kingman's coalescent
• Diffusion limits at small times for \(\Lambda\)-coalescents with a Kingman component
• Mod-ϕ Convergence

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