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Colored maximal branching process. (English) Zbl 1376.60073

Theory Probab. Appl. 59, No. 4, 663-672 (2015); translation from Teor. Veroyatn. Primen. 59, No. 4, 790-800 (2014).
Summary: We consider a certain version of the multitype maximal branching process recently introduced by Lebedev. The main result of this paper is a limit theorem for empirical frequencies of the types. The result shows explicitly how the initial distribution of types is modified in the long run by a mechanism of selection among competing individuals in a maximal branching process.

MSC:

60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
60F17 Functional limit theorems; invariance principles
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