Limiting Distributions in Branching Processes with Two Types of Particles
Let us consider a decomposable e branching process with two types of particles T 1, T2 such that particles of type T 2 can only produce particles of types T 1 whereas particles of type T 1 can produce particles of both types. The aim of this paper is to characterize the kind of distribution of the particles of types T1 and T 2 when the total number n of all particles is fixed. Especially we are interested in the limit case n — ∞. It turns out that depending on the parameters of the process a number of different limiting distributions, e.g. normal or x 2 distributions, appear.
Key wordsbranching processes limiting distributions
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- [Sel]B.A. Sevastyanov, Verzweigungsprozesse, Akademie-Verlag, Berlin, 1974.Google Scholar