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Diffusion approximation of controlled branching processes with random environments
Authors:Gerd Rosenkranz
Affiliation:Sonderforschungsbereich 123 , Unlversitat Heidelberg , Im Neuenheimer Feld 293, Heidelberg, D–6900
Abstract:Conditions are established under which a sequence of density dependent branching processes with random environments converges weakly to a diffusion process. The limiting diffusion process can be obtained as a solution of a stochastic differential equation
Keywords:Stochastic Approximation  Finite Dimensional Approximation  Convergence
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