Asymptotic expansions and precise deviations in the Kingman coalescent
| Autor: | Youzhou Zhou, Yujing Wang, Fuqing Gao |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
Mathematics::Probability Convergence (routing) Quantitative Biology::Populations and Evolution Applied mathematics Large deviations theory Moderate deviations Statistics Probability and Uncertainty Edgeworth series Deviation inequality Coalescent theory Mathematics Central limit theorem |
| Zdroj: | Electronic Communications in Probability. 26 |
| ISSN: | 1083-589X |
| DOI: | 10.1214/21-ecp375 |
| Popis: | In this paper, we study the small-time asymptotic behavior of the Kingman coalescent. We obtain the Berry-Esseen bound and the Edgeworth expansion in the central limit theorem. Moreover, by the method of mod-ϕ convergence, we also obtain the precise large deviations and the precise moderate deviations. Last, we also obtain a non-asymptotic deviation inequality for the Kingman coalescent. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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