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Article

Exact sampling formulas for multi-type Galton-Watson processes.

Journal of mathematical biology - 1 Oct 2002

Olofsson Peter, Shaw Chad A

Abstract excerpt

Exact formulas for the mean and variance of the proportion of different types in a fixed generation of a multi-type Galton-Watson process are derived. The formulas are given in terms of iterates of the probability generating function of the offspring distribution. It is also shown that the sequence of types backwards from a randomly sampled particle in a fixed generation is a non-homogeneous Markov chain where...

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PMID: 12373340
DOI: 10.1007/s002850200148

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PubMed metadata and Literature Corpus relationships. Corpus snapshot updated 6 Sept 2026. Manifest publication-graph-cohort-2026-09-06.1.

Source receipt: pubmed, retrieved 6 Sept 2026.

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