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Limit theorems for some functionals of certain Galton-Watson branching processes

Published online by Cambridge University Press:  01 July 2016

Torgny Lindvall
Torgny Lindvall*
Affiliation:
University of Göteborg, Sweden
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Abstract

This paper extends the Feller-Jiřina theorem on the diffusion approximation of Galton-Watson branching processes with reproduction mean close to one, and limit theorems are obtained for several functionals of such processes.

Keywords

GALTON-WATSON BRANCHING PROCESSESLIMITING DIFFUSIONLIMIT THEOREMS FOR FUNCTIONALS
Type
Research Article
Information
Advances in Applied Probability , Volume 6 , Issue 2 , June 1974 , pp. 309 - 321
Copyright
Copyright © Applied Probability Trust 1974 

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References

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