Limit theorems for conditional distributions of critical Galton-Watson branching processes without finite variance
Ya. M. KhusanbaevV.I.Romanovskiy Institute of Mathematics of Uzbekistan Academy of Sciences, Tashkent, UzbekistanKh.A. ToshkulovNational University of Uzbekistan named after Mirzo Ulugbek, Tashkent 100174, Uzbekistan
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In this paper we consider critical Galton-Watson branching processes Z<sub>k</sub>, k ≥ 0 in the case when the number of direct offspring of one particle has infinite variance. Limit theorems for conditional distributions of Z<sub>k</sub> are proved.
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