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Improved classical limit analogues for Galton-Watson processes with or without immigration

Published online by Cambridge University Press:  17 April 2009

C.C. Heyde  and
J.R. Leslie
C.C. Heyde
Affiliation:
Department of Statistics, School of General Studies, Australian National University, Canberra, ACT.
J.R. Leslie
Affiliation:
Department of Statistics, School of General Studies, Australian National University, Canberra, ACT.
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Abstract

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It has recently emerged that the central limit theorem and iterated logarithm law for random walk processes have natural counterparts for Galton-Watson processes with or without immigration. Much of the work on these counterparts has previously involved the imposition of supplementary moment conditions. In this paper we show how to dispense with these supplementary conditions and in so doing make the analogy with the random walk results complete.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 2 , October 1971 , pp. 145 - 155
Copyright
Copyright © Australian Mathematical Society 1971

References

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