Asymptotic properties of supercritical branching processes I: The Galton-Watson process
- 1 March 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 6 (04) , 711-731
- https://doi.org/10.1017/s0001867800028536
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.Keywords
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