Joint distribution of the number of vertices with given different outdegrees in Galton–Watson forest

A Galton–Watson forest consisting of N roots (or trees) and n non-root vertices is considered. We study limit distributions of the number of vertices of a given outdegree in such a forest. In this work joint distribution of the number of vertices with the given different outdegrees r1 and r2 is considered. A local limit theorem for this characteristic is proved.

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Year of publication:	2009
Authors:	Mylläri, Tatiana
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 79.2009, 8, p. 2293-2301
Publisher:	Elsevier
Subject:	Local limit theorem \| Galton–Watson forest \| Outdegree of vertices

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050579