Exactly Solvable Balanced Tenable Urns with Random Entries via the Analytic Methodology

zbMath1296.60015arXiv1207.4948MaRDI QIDQ2920857

Basile Morcrette, Hosam M. Mahmoud

Publication date: 29 September 2014

Full work available at URL: https://arxiv.org/abs/1207.4948

zbMATH Keywords

differential equationsrandom structuremixed modelsPólya urncombinatorial probability

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Nonlinear ordinary differential equations and systems (34A34) Combinatorial probability (60C05)

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Large deviations for generalized Polya urns with arbitrary urn function ⋮ Exactly solvable urn models under random replacement schemes and their applications ⋮ The necklace process: a generating function approach ⋮ Equivalence between nonlinear dynamical systems and urn processes ⋮ Multiple drawing multi-colour urns by stochastic approximation ⋮ Distributions in the constant-differentials Pólya process ⋮ Periodic Pólya urns, the density method and asymptotics of Young tableaux

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