Generalized gamma approximation with rates for urns, walks and trees
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Publication:726793
DOI10.1214/15-AOP1010zbMath1367.60019arXiv1309.4183MaRDI QIDQ726793
Erol A. Peköz, Nathan Ross, Adrian Roellin
Publication date: 14 July 2016
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.4183
Stein's methodrandom walkgeneralized gamma distributionrandom binary treesPólya urn modelpreferential attachment random graphrandom plane trees
Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Sums of independent random variables; random walks (60G50) Special processes (60K99) Combinatorial probability (60C05)
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Cites Work
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- Fundamentals of Stein's method
- Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation
- Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie-Weiss model
- The continuum random tree. I
- Stein's method on Wiener chaos
- Zero biasing and a discrete central limit theorem
- Limit theorems for triangular urn schemes
- A survey of random processes with reinforcement
- Inequalities for the gamma function
- On the distribution of random walk local time
- Exact convergence rates in some martingale central limit theorems
- Excursions in Brownian motion
- Functionals of Brownian meander and Brownian excursion
- A relation between Brownian bridge and Brownian excursion
- Stein's method and the zero bias transformation with application to simple random sampling
- Analytic urns
- Gaussian approximation theorems for urn models and their applications
- Degree asymptotics with rates for preferential attachment random graphs
- Total variation error bounds for geometric approximation
- Local limit theorems via Landau-Kolmogorov inequalities
- The continuum random tree. III
- Immigrated urn models-theoretical properties and applications
- New rates for exponential approximation and the theorems of Rényi and Yaglom
- Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
- Asymptotic theorems of sequential estimation-adjusted urn models
- On the zero \(\sum_1^n\pm 1\)
- Power Laws in Preferential Attachment Graphs and Stein's Method for the Negative Binomial Distribution
- Emergence of Scaling in Random Networks
- The distribution of the size of the ancestor-tree and of the induced spanning subtree for random trees
- Random cutting and records in deterministic and random trees
- EXPLOITING THE WAITING TIME PARADOX: APPLICATIONS OF THE SIZE-BIASING TRANSFORMATION
- Normal Approximation by Stein’s Method
- Excursion and meander in random walk
- LENGTH-BIASING, CHARACTERIZATIONS OF LAWS AND THE MOMENT PROBLEM
- On the Altitude of Nodes in Random Trees
- Archimedes, Gauss, and Stein
- Bernard Friedman's Urn
- Distances of Probability Measures and Random Variables
- Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems
- A simple urn model
- Brownian local time
