THE ITERATED GALTON-WATSON PROCESS

Authors
GAWEL B KIMMEL M
Citation
B. Gawel et M. Kimmel, THE ITERATED GALTON-WATSON PROCESS, Journal of Applied Probability, 33(4), 1996, pp. 949-959
Citations number
13
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of Applied Probability → ACNP
ISSN journal
00219002
Volume
33
Issue
4
Year of publication
1996
Pages
949 - 959
Database
ISI
SICI code
0021-9002(1996)33:4<949:TIGP>2.0.ZU;2-F
Abstract
We consider the mathematical properties of a time-discrete stochastic process describing explosive proliferation of DNA repeats in human gen etic diseases. The process is constructed using a cascade of Galton-Wa tson branching processes. The main results concern the probability of absorption and the supergeometric growth of the process in the supercr itical case. Examples of simulations are provided.