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

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  • Mylläri, Tatiana

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.

Suggested Citation

  • Mylläri, Tatiana, 2009. "Joint distribution of the number of vertices with given different outdegrees in Galton–Watson forest," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(8), pages 2293-2301.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:8:p:2293-2301
    DOI: 10.1016/j.matcom.2008.11.003
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