Galton-Watson Theta-Processes in a Varying Environment
Sagitov S. Zhumayev Y.
1 June 2024Walter de Gruyter GmbH
Stochastics and Quality Control
2024#39Issue 125 - 39 pp.
We consider a special class of Galton-Watson theta-processes in a varying environment fully defined by four parameters, with two of them (θ, r) being fixed over time n, and the other two (an, cn) characterizing the altering reproduction laws. We establish a sequence of transparent limit theorems for the theta-processes with possibly defective reproduction laws. These results may serve as a stepping stone towards incisive general results for the Galton-Watson processes in a varying environment.
Branching Process , Limit Theorem , Varying Environment
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Department of Mathematical Sciences, Chalmers University of Technology, The University of Gothenburg, Gothenburg, Sweden
Department of Mathematics, L. N. Gumilev Eurasian National University, Astana, Kazakhstan
Department of Mathematical Sciences
Department of Mathematics
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