The iterated Galton–Watson process
- 1 December 1996
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 33 (4) , 949-959
- https://doi.org/10.2307/3214976
Abstract
We consider the mathematical properties of a time-discrete stochastic process describing explosive proliferation of DNA repeats in human genetic diseases. The process is constructed using a cascade of Galton–Watson branching processes. The main results concern the probability of absorption and the supergeometric growth of the process in the supercritical case. Examples of simulations are provided.Keywords
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