The aim of the research work is to find limit distributions for stochastic branching processes with discrete and continuous time at minimal moment conditions, to construct invariant measures and estimate the convergence rates to invariant measures for the processes with immigration, to find limit distributions for branching processes with non-degenerate trajectories in the remote future.
The objects of the research work are Galton-Watson stochastic branching processes, continuous time Markov branching processes, branching processes allowing immigration, Markov Q-processes.
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