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

Ya.M. Khusanbaev, Kh.A. Toshkulov
Theory of Stochastic Processes
Vol.26 (42), no.1, 2022, pp.13-20
In this paper we consider critical Galton-Watson branching processes Z_k, k ≥ 0 in the case when the number of direct offspring of one particle has infinite variance. Limit theorems for conditional distributions of Z_k are proved.
DOI: https://doi.org/10.37863/tsp-3639580555-63
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