The variance of the average depth of a pure birth process converges to 7

DOI10.1016/j.spl.2019.02.015zbMath1421.60003arXiv1812.05966OpenAlexW2904756260WikidataQ128284971 ScholiaQ128284971MaRDI QIDQ2322606

Ken R. Duffy, Gianfelice Meli, Vsevolod Shneer

Publication date: 5 September 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05966

zbMATH Keywords

pure birth processvariance of the average depth

Mathematics Subject Classification ID

Trees (05C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Cites Work

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• Inferring average generation via division-linked labeling
• On growing random binary trees
• A note on the growth of random trees
• Sample path properties of the average generation of a Bellman-Harris process
• Renewal theory and the almost sure convergence of branching processes
• A note on the height of binary search trees
• Note on the heights of random recursive trees and random m‐ary search trees
• Distribution of the branching-process population among generations
• Branching processes in biology