Journal article

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

K Borovkov

THEORY OF PROBABILITY AND ITS APPLICATIONS | SIAM PUBLICATIONS | Published : 2002

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.