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The iterated Galton–Watson process
Published online by Cambridge University Press: 14 July 2016
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.
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- Copyright © Applied Probability Trust 1996
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