The birth process with immigration, and the genealogical structure of large populations
type: Item
instance of: scholarly article
title: The birth process with immigration, and the genealogical structure of large populations
zbMATH Open document ID: 0625.92010
DOI: 10.1007/BF00276387
author: Simon Tavaré
published in: Journal of Mathematical Biology
publication date: 1987-01-01T00:00:00Z
review text: In the birth and immigration process of individuals, the distribution of the size of the families in the order of their appearance in the population and its asymptotic properties are given. The corresponding jump chain process is a non-homogeneous Markov chain, which has immediate connection to the genealogical structure arising from the distribution of allelic types in an age ordered sample from a stationary infinitely many neutral alleles model.
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 60J75
Mathematics Subject Classification ID: 60J70
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 4016658
zbMATH Keywords: population genetics
zbMATH Keywords: point process
zbMATH Keywords: Poisson-Dirichlet distribution
zbMATH Keywords: birth and immigration process
zbMATH Keywords: asymptotic properties
zbMATH Keywords: jump chain process
zbMATH Keywords: non- homogeneous Markov chain
zbMATH Keywords: genealogical structure
zbMATH Keywords: distribution of allelic types
zbMATH Keywords: age ordered sample
zbMATH Keywords: stationary infinitely many neutral alleles model
Wikidata QID: Q52610547
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4016658