On the limiting behavior of reduced processes generated from branching processes possibly having infinitely variance

Ya.M. Khusanbaev
Theory of Stochastic Processes
Vol.28 (44), no.2, 2024, pp.30-38
This paper considers a critical reduced process generated by a Galton-Watson branching process in which the number offspring of one particle possibly has infinite variance and conditional limit theorem proved. The rate of weak convergence of the critical reduced processes to the limit law is also obtained in the case when the number offspring of one particle has a finite variance.
DOI: https://doi.org/10.3842/tsp-3646743668-30
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