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Another look at the finite mean supercritical Bienaymé–Galton–Watson process

Published online by Cambridge University Press:  14 July 2016

Harry Cohn
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Abstract

Let {Zn} be a finite mean supercritical Bienaymé– Galton–Watson process. It is known that there exist norming constants {Cn} such that {Zn/Cn} converges almost surely to a limit W. Also there is a whole literature concerning properties of {Cn} and W. We attempt a new approach to the limit theory of {Zn} by relating it to the theory of sums of independent and identically distributed random variables.

Keywords

BIENAYMÉ–GALTON–WATSON PROCESSOFFSPRING DISTRIBUTIONSUPERCRITICALITYSUMS OF INDEPENDENT RANDOM VARIABLESQUANTILES
Type
Part 6 — Stochastic Processes
Information
Journal of Applied Probability , Volume 19 , Issue A , 1982 , pp. 307 - 312
Copyright
Copyright © 1982 Applied Probability Trust 

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