Extinction probabilities in branching processes: A note on holgate and Lakhani's paper
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Within the class of offspring distributions with given meanm>1 and probability of no offspringp o, the probabilityq of ultimate extinction in a Galton-Watson branching process starting from one individual satisfiesp 0<q(m,p0)≤q<1. A short table illustrates the lower boundq(m,p 0).
KeywordsDiscrete Time Poisson Distribution Mathematical Biology General Question Large Integer
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