A Berry-Esseen theorem for Pitman's \(\alpha\)-diversity

DOI10.1214/19-AAP1518zbMath1459.60070arXiv1809.09276OpenAlexW3033821263MaRDI QIDQ2192742

Emanuele Dolera, Stefano Favaro

Publication date: 17 August 2020

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.09276

zbMATH Keywords

Poisson approximationBerry-Esseen theoremEwens-Pitman sampling modelLaplace approximation of integralsPitman's \(\alpha\)-diversityPoisson compound random partitions

Mathematics Subject Classification ID

Strong limit theorems (60F15) Random measures (60G57)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random variate generation for Laguerre-type exponentially tilted \(\alpha\)-stable distributions
• The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey
• Size-biased sampling of Poisson point processes and excursions
• Stable densities under change of scale and total variation inequalities
• Large deviation principles for some random combinatorial structures in population genetics and Brownian motion
• On the uniform convergence of normalized Poisson mixtures to their mixing distribution
• On Ch. Jordan's series for probability
• The ubiquitous Ewens sampling formula
• Exchangeable and partially exchangeable random partitions
• Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem
• Rates of convergence in de Finetti's representation theorem, and Hausdorff moment problem
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• Large deviation principles for the Ewens-Pitman sampling model
• The sampling theory of selectively neutral alleles
• Contributions to the theory of Dirichlet processes
• Asymptotic Approximations of Integrals
• Bayesian Nonparametric Estimation of the Probability of Discovering New Species
• Approximation of a Generalized Binomial Distribution
• Random variate generation for exponentially and polynomially tilted stable distributions
• Bayesian Non-Parametric Inference for Species Variety with a Two-Parameter Poisson–Dirichlet Process Prior
• Optimal prediction of the number of unseen species
• Asymptotics of poisson approximation to random discrete distributions: an analytic approach
• On the Charlier Type B Series

This page was built for publication: A Berry-Esseen theorem for Pitman's \(\alpha\)-diversity