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The convergence of Galton–Watson branching processes with immigration to a diffusion process

Ya. M. KhusanbaevDepartment of Probability Theory and Mathematical Statistics, Institute of Mathematics and Information Technologies, F. Khodzhaev Street 29, Tashkent 100125, Uzbekistan
Theory of Probability and Mathematical Statisticsjournal2009en
ABI

Abstract

A sequence of almost critical Galton–Watson branching processes with immigration is studied. Sufficient conditions for the weak convergence of such processes to a diffusion process are found.

Topics

Stochastic processes and statistical mechanicsTheoretical and Computational PhysicsStochastic processes and financial applications

Identifiers

DOI
10.1090/s0094-9000-09-00777-7

Citations and references

Cited by 26 references
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