Normal approximation for mixtures of normal distributions and the evolution of phenotypic traits

DOI10.1017/apr.2020.53zbMath1491.62015arXiv1912.03561OpenAlexW3136093109WikidataQ115052443 ScholiaQ115052443MaRDI QIDQ5022284

Krzysztof Bartoszek, Torkel Erhardsson

Publication date: 18 January 2022

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03561

zbMATH Keywords

jumpsStein's methodOrnstein-Uhlenbeck processKolmogorov distancenormal approximationphylogenetic treeYule processmixture of normal distributionsphenotypic trait

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Problems related to evolution (92D15) Approximations to statistical distributions (nonasymptotic) (62E17)

Uses Software

• R

Cites Work

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• STEIN'S METHOD AND THE BERRY-ESSÉEN THEOREM
• Integral Probability Metrics and Their Generating Classes of Functions
• An Introduction to Stein's Method
• A Central Limit Theorem for punctuated equilibrium

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