Distributional analysis of the extra-clustering model with uniformly generated phylogenetic trees

DOI10.1214/20-ECP291zbMath1443.92129OpenAlexW3005344627MaRDI QIDQ2183110

Ariel R. Paningbatan, Michael Fuchs, Chih-Hong Lee

Publication date: 26 May 2020

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

Full work available at URL: https://projecteuclid.org/euclid.ecp/1581130925

zbMATH Keywords

momentsnegative binomial distributionphylogenetic treelimit lawsconvergence of momentsnumber of groupsPDA modelanimal groupingextra-cluster modellargest group size

Mathematics Subject Classification ID

Problems related to evolution (92D15)

Cites Work

• Stochastic analysis of the extra clustering model for animal grouping
• The mean, variance and limiting distribution of two statistics sensitive to phylogenetic tree balance
• Prediction of group patterns in social mammals based on a coalescent model
• Probabilistic analysis of a genealogical model of animal group patterns
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