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

Tatiana Mylläri

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 8, 2293-2301

Abstract: 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.

Keywords: Local limit theorem; Galton–Watson forest; Outdegree of vertices (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:8:p:2293-2301

DOI: 10.1016/j.matcom.2008.11.003

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