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

Ya. M. KhusanbaevV.I. Romanovskiy Institute of Mathematics of Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
Theory of Stochastic Processesjournal2025en
ABI

Abstract

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.

Topics

Stochastic processes and statistical mechanicsAdvanced Thermodynamics and Statistical MechanicsStochastic processes and financial applications

Identifiers

DOI
10.3842/tsp-3646743668-30

Citations and references

Cited by 00 references
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