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Some limit theorems for Markov branching processes

Published online by Cambridge University Press:  14 July 2016

J. R. Leslie
J. R. Leslie*
Affiliation:
The Australian National University
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Abstract

Analogues of the central limit theorem and iterated logarithm law have recently been obtained for the Galton-Watson process; similar results are established in this paper for the temporally homogeneous Markov branching process and for the associated increasing process consisting of the number of splits in the original process up to time t.

Keywords

CENTRAL LIMIT THEOREMITERATED LOGARITHM LAWBRANCHING PROCESSTEMPORALLY HOMOGENEOUS MARKOV PROCESSSPLITTING PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 10 , Issue 2 , June 1973 , pp. 299 - 306
Copyright
Copyright © Applied Probability Trust 1973 

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References

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