author: | Nicolas Pouyanne |
---|---|
title: | Classification of large Pólya-Eggenberger urns with regard to their asymptotics |
keywords: | |
abstract: |
This article deals with Pólya generalized urn models
with constant balance in any dimension. It is based on the
algebraic approach of [AlgApproach] and classifies urns
having ``large'' eigenvalues in five classes, depending on
their almost sure asymptotics. These classes are described
in terms of the spectrum of the urn's replacement matrix
and examples of each case are treated. We study the cases
of so-called cyclic urns in any dimension and
m
-ary search trees for
m ≥ 27
.
|
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reference: | Nicolas Pouyanne (2005), Classification of large Pólya-Eggenberger urns with regard to their asymptotics, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 275-286 |
bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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