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The total progeny in a branching process and a related random walk

Published online by Cambridge University Press:  14 July 2016

Meyer Dwass
Meyer Dwass*
Affiliation:
Northwestern University
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Extract

This paper is a continuation of [1]. The techniques of [1] are used to get specific information about the distribution of the total progeny in a branching process. This distribution is also related to one which arises in a random walk problem.

Type
Short Communications
Information
Journal of Applied Probability , Volume 6 , Issue 3 , December 1969 , pp. 682 - 686
Copyright
Copyright © Applied Probability Trust 

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References

[1] Dwass, M. (1968) A theorem about infinitely divisible distributions. Z. Wahrscheinlichkeitsth. 9, 287–289.CrossRefGoogle Scholar
[2] Feller, W. (1968) An Introduction to Probability Theory and Its Applications. Vol. 1, 3rd edition. Wiley, New York.Google Scholar
[3] Good, I. J. (1949) The number of individuals in a cascade process. Proc. Camb. Phil. Soc. 45, 360–363.CrossRefGoogle Scholar