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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
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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.

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