Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1154405 | Statistics & Probability Letters | 2008 | 8 Pages |
Abstract
In this paper we pursue our study, in Konsowa and Oraby 2003a. [Dimensions of random trees. Statist. Probab. Lett. 62(1), 49-60] and Konsowa and Oraby 2003b. [Fractal dimensions and random walks on random trees. J. Statist. Plann. Inference 116(2), 333-342], on dimensions of some random trees. These dimensions are, for polynomially growing graphs, closely related to the type (transience-recurrence) problem of the simple random walk on such graphs. We give an interval estimation for the mean resistance dimension of branching processes in varying environments trees.
Keywords
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Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Mokhtar H. Konsowa, Tamer F. Oraby,