Asymptotic properties of supercritical branching processes I: The Galton-Watson process

1974154 citationsJournal Article

Authors

Ν. H. Bingham · Queen Mary University of London

Abstract

We obtain results connecting the distributions of the random variables Z 1 and W in the supercritical Galton-Watson process. For example, if a > 1, and converge or diverge together, and regular variation of the tail of one of Z 1 , W with non-integer exponent α > 1 is equivalent to regular variation of the tail of the other.

Topics & Keywords

Stochastic processes and statistical mechanics Stochastic processes and financial applications Theoretical and Computational Physics

Publication Details

Published in: Advances in Applied Probability

Volume 6, Issue 4, pp. 711-731

DOI: 10.2307/1426188

Field-Weighted Citation Impact: 4.20

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Asymptotic properties of supercritical branching processes I: The Galton-Watson process

Authors

Abstract

Topics & Keywords

Publication Details