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On a theorem of bingham and doney

Published online by Cambridge University Press:  14 July 2016

A. De Meyer
A. De Meyer*
Affiliation:
Katholieke Universiteit Leuven
*
∗Postal address: Mathematical Institute, K. U. Leuven, Celestijnenlaan 200B, 3030 Leuven-Heverlee, Belgium.
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Abstract

We obtain an extension of a theorem of Bingham and Doney connecting the random variables Z1 and W in the supercritical Galton-Watson process. The regular variation of the distribution of Z1 is equivalent to the regular variation of the tail of the distribution of W for integer values of α > 1.

Keywords

GALTON-WATSON PROCESSSUPERCRITICALFUNCTIONAL EQUATIONREGULAR VARIATIONLAPLACE-STIELTJES TRANSFORMII CLASS
Type
Short Communications
Information
Journal of Applied Probability , Volume 19 , Issue 1 , March 1982 , pp. 217 - 220
Copyright
Copyright © Applied Probability Trust 1982 

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References

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