Smoothing Equations for Large Pólya Urns

Brigitte Chauvin (), Cécile Mailler and Nicolas Pouyanne
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Brigitte Chauvin: Université de Versailles-St-Quentin
Cécile Mailler: Université de Versailles-St-Quentin
Nicolas Pouyanne: Université de Versailles-St-Quentin

Journal of Theoretical Probability, 2015, vol. 28, issue 3, 923-957

Abstract: Abstract Consider a balanced nontriangular two-color Pólya–Eggenberger urn process, assumed to be large, which means that the ratio $$\sigma $$ σ of the replacement matrix eigenvalues satisfies $$1/2

Keywords: Pólya urn model; Martingale; Multitype branching process; Smoothing transforms; Contraction method; Moment-determined probability distributions; 60C05; 60J80; 05D40 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10959-013-0530-z

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