A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes
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.
Key words and phrasesGalton-Watson size-biased distribution
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