Explicit characterization of moments of balanced triangular Pólya urns by an elementary approach

DOI10.1016/j.spl.2014.09.016zbMath1314.60040OpenAlexW2016554092MaRDI QIDQ2339540

Chen Chen, Hosam M. Mahmoud, Panpan Zhang

Publication date: 1 April 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2014.09.016

zbMATH Keywords

random structurerecurrenceasymptotic analysisPólya urncombinatorial probability

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Combinatorial probability (60C05)

Related Items (9)

ON SEVERAL PROPERTIES OF A CLASS OF PREFERENTIAL ATTACHMENT TREES—PLANE-ORIENTED RECURSIVE TREES ⋮ Degrees in random self-similar bipolar networks ⋮ Covariances in Pólya urn schemes ⋮ Exact covariances and refined asymptotics in dichromatic tenable balanced Pólya urn schemes ⋮ The continuous-time triangular Pólya process ⋮ The degree profile and weight in Apollonian networks and k-trees ⋮ Random walks exhibiting anomalous diffusion: elephants, urns and the limits of normality ⋮ Local and global degree profiles of randomly grown self-similar hooking networks under uniform and preferential attachment ⋮ A restaurant process with cocktail bar and relations to the three-parameter Mittag–Leffler distribution

Cites Work

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• Martingale functional central limit theorems for a generalized Pólya urn
• Limit theorems for triangular urn schemes
• Moments of gamma type and the Brownian supremum process area

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