Abstract
A decomposable Galton - Watson process with two types of particles is considered. Particles of the first type produce equal random numbers of particles of both types, particles of the second type produce particles of the second type only. Under the condition that the total number of the first type particles is equal to N the functional limit theorems are proved for the numbers of particles of both types existing at times of the orders of
Originally published in Diskretnaya Matematika (2015) 27, N2, 22-44 (in Russian).
Funding source: Russian Science Foundation
Award Identifier / Grant number: 14-50-00005
Funding statement: This work was supported by the Russian Science Foundation under grant no. 14-50-00005
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