This article is cited in 5 papers

Short Communications

A note on diffusion-type approximation to branching processes in random environments

K. A. Borovkov

University of Melbourne, Department of Mathematics and Statistics

Abstract: We extend the known results on diffusion-type approximation to branching processes in random environments. In particular, the range of the initial values of the processes can be much wider, moment conditions are more general, and the approximant can be a discontinuous process. The proof is based on the author's estimates for diffusion approximation to branching processes in varying environments.

Keywords: branching process in random environments, diffusion approximation.

Received: 22.12.1999

Language: English

DOI: 10.4213/tvp3526

 English version: Theory of Probability and its Applications, 2003, 47:1, 132–138

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