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1997 | OriginalPaper | Buchkapitel

A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes

verfasst von : Thomas Kurtz, Russell Lyons, Robin Pemantle, Yuval Peres

Erschienen in: Classical and Modern Branching Processes

Verlag: Springer New York

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We give complete proofs of the theorem of convergence of types and the Kesten-Stigum theorem for multi-type branching processes. Very little analysis is used beyond the strong law of large numbers and some basic measure theory.AMS(MOS) subject classifications. Primary 60J80.

Metadaten
Titel
A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes
verfasst von
Thomas Kurtz
Russell Lyons
Robin Pemantle
Yuval Peres
Copyright-Jahr
1997
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-1862-3_14