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Asymptotics of the Hurwitz Binomial Distribution Related to Mixed Poisson Galton–Watson Trees
Published online by Cambridge University Press: 25 June 2001
Abstract
Hurwitz's extension of Abel's binomial theorem defines a probability distribution on the set of integers from 0 to n. This is the distribution of the number of non-root vertices of a fringe subtree of a suitably defined random tree with n + 2 vertices. The asymptotic behaviour of this distribution is described in a limiting regime in which the fringe subtree converges in distribution to a Galton–Watson tree with a mixed Poisson offspring distribution.
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- Research Article
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- 2001 Cambridge University Press
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