Abstract
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.
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© 1997 Springer Science+Business Media New York
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Drmota, M., Vatutin, V. (1997). Limiting Distributions in Branching Processes with Two Types of Particles. In: Athreya, K.B., Jagers, P. (eds) Classical and Modern Branching Processes. The IMA Volumes in Mathematics and its Applications, vol 84. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1862-3_7
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DOI: https://doi.org/10.1007/978-1-4612-1862-3_7
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