Limit distributions for large Pólya urns
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Publication:627230
DOI10.1214/10-AAP696zbMath1220.60006arXiv0907.1477WikidataQ105584252 ScholiaQ105584252MaRDI QIDQ627230
Brigitte Chauvin, Nicolas Pouyanne, Reda Sahnoun
Publication date: 21 February 2011
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.1477
characteristic functionmartingalePólya urnmultitype branching processAbelian integrals over Fermat curvesembedding in continuous time
Combinatorial probability (60C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (26)
Two-color balanced affine urn models with multiple drawings ⋮ The Class of Tenable Zero-Balanced Pólya Urn Schemes: Characterization and Gaussian Phases ⋮ Characterizations of asymptotic distributions of continuous-time Pólya processes ⋮ A generalized urn with multiple drawing and random addition ⋮ Smoothing equations for large Pólya urns ⋮ Covariances in Pólya urn schemes ⋮ A martingale approach for the elephant random walk ⋮ Pólya urns with immigration at random times ⋮ On densities for solutions to stochastic fixed point equations ⋮ Limit distributions for multitype branching processes of \(m\)-ary search trees ⋮ On Bagchi–Pal urn models and related Pólya–Friedman ones ⋮ Stein's Method for the Beta Distribution and the Pólya-Eggenberger Urn ⋮ Dynamic Pólya-Eggenberger urns ⋮ Moment convergence of balanced Pólya processes ⋮ Asymptotic Properties of Multicolor Randomly Reinforced Pólya Urns ⋮ Nonlinear randomized urn models: a stochastic approximation viewpoint ⋮ On martingale tail sums in affine two-color urn models with multiple drawings ⋮ Distributions in the constant-differentials Pólya process ⋮ The diffusion of opposite opinions in a randomly biased environment ⋮ Hypergeometric identities arising from the elephant random walk ⋮ A martingale approach for Pólya urn processes ⋮ Asymptotic analysis of the elephant random walk ⋮ On the Distribution of Monochromatic Complete Subgraphs and Arithmetic Progressions ⋮ Models induced from critical birth–death process with random initial conditions ⋮ Unnamed Item ⋮ Functional limit theorems for the multi-dimensional elephant random walk
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- Polya Urn Models
- Strong convergence of proportions in a multicolor Pólya urn
- m‐ary Search trees when m ≥ 27: A strong asymptotics for the space requirements
- Exercises in Probability
- Random Fragmentation and Coagulation Processes
- Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems
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