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Bounds for Certain Branching Processes
Published online by Cambridge University Press: 14 July 2016
Summary
We consider a branching process for which the offspring distribution has the generating function f(t) and mean f'(1) = m < 1. The probability that a line descended from an individual still survives in generation n is asymptotically of the form cmn. A method is derived whereby good bounds for c may be obtained. This method makes use of the first three moments of the distribution of offspring.
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- Copyright © Applied Probability Trust
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