A note on diffusion-type approximation to branching processes in random environments
Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 1, pp. 183-188
Cet article a éte moissonné depuis la source Math-Net.Ru
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
Mots-clés : diffusion approximation.
Mots-clés : diffusion approximation.
@article{TVP_2002_47_1_a16,
author = {K. A. Borovkov},
title = {A note on diffusion-type approximation to branching processes in random environments},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {183--188},
year = {2002},
volume = {47},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TVP_2002_47_1_a16/}
}
K. A. Borovkov. A note on diffusion-type approximation to branching processes in random environments. Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 1, pp. 183-188. http://geodesic.mathdoc.fr/item/TVP_2002_47_1_a16/