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Some limit theorems for the total progeny of a branching process

Published online by Cambridge University Press:  01 July 2016

A. G. Pakes
A. G. Pakes*
Affiliation:
Monash University
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Extract

We consider a branching process in which each individual reproduces independently of all others and has probability a j (j = 0, 1, · · ·) of giving rise to j progeny in the following generation. It is assumed, without further comment, that 0 < a 0, a 0 + a 1 < 1.

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Type
Research Article
Information
Advances in Applied Probability , Volume 3 , Issue 1 , Spring 1971, pp. 176 - 192
Copyright
Copyright © Applied Probability Trust 1971 

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