𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Convergence of Branching Processes to a Diffusion Process

✍ Scribed by Borovkov, K. A.


Book ID
118220592
Publisher
Society for Industrial and Applied Mathematics
Year
1986
Tongue
English
Weight
912 KB
Volume
30
Category
Article
ISSN
0040-585X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Convergence of branching processes to th
✍ Bernhard Gittenberger πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 215 KB

We study Galton᎐Watson branching processes conditioned on the total ' Ž . progeny to be n which are scaled by a sequence c tending to infinity as o n . It is shown n that this process weakly converges to the total local time of a two-sided three-dimensional Bessel process. This is done by means of c

Convergence of one-dimensional diffusion
✍ Masaru Iizukah; Yukio Ogura πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 865 KB

A conjecture on the convergence of diffusion models in population genetics to a simple Markov chain model is proved. The notion of bi-generalized diffusion processes and their limit theorems are used systematically to prove the conjecture. Three limits; strong selection-weak mutation limit, moderate