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Moments of Moments and Branching Random Walks

We calculate, for a branching random walk [Formula: see text] to a leaf l at depth n on a binary tree, the positive integer moments of the random variable [Formula: see text] , for [Formula: see text] . We obtain explicit formulae for the first few moments for finite n. In the limit [Formula: see te...

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Detalles Bibliográficos
Autores principales: Bailey, E. C., Keating, J. P.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7803724/
https://www.ncbi.nlm.nih.gov/pubmed/33487737
http://dx.doi.org/10.1007/s10955-020-02696-9