On the area under lattice paths associated with triangular diminishing urn models

DOI10.1016/j.aam.2009.09.001zbMath1193.60013OpenAlexW1991113799MaRDI QIDQ962001

Alois Panholzer, Markus Kuba

Publication date: 1 April 2010

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2009.09.001

zbMATH Keywords

lattice patharea distributiondiminishing urnsgeneralized sampling urnspills problemPólya-Eggenberger urns models

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05) Asymptotic enumeration (05A16)

Related Items (1)

The characterization of tenable Pólya urns

Cites Work

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• An algebraic approach to Pólya processes
• Limit theorems for triangular urn schemes
• Basic analytic combinatorics of directed lattice paths
• Analytic urns
• Functional limit theorems for multitype branching processes and generalized Pólya urns.
• Kac's formula, levy's local time and brownian excursion
• The Pills Problem Revisited
• Limit distributions for the Bernoulli meander

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