Article

Limit theorems for conditional distributions of critical Galton-Watson branching processes without finite variance

Ya. M. KhusanbaevV.I.Romanovskiy Institute of Mathematics of Uzbekistan Academy of Sciences, Tashkent, UzbekistanKh.A. ToshkulovNational University of Uzbekistan named after Mirzo Ulugbek, Tashkent 100174, Uzbekistan

Theory of Stochastic Processesjournal2022en

ABI

Abstract

In this paper we consider critical Galton-Watson branching processes Z<sub>k</sub>, k ≥ 0 in the case when the number of direct offspring of one particle has infinite variance. Limit theorems for conditional distributions of Z<sub>k</sub> are proved.

Topics

Stochastic processes and statistical mechanics Random Matrices and Applications Theoretical and Computational Physics

Identifiers

DOI: 10.37863/tsp-3639580555-63

Citations and references

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