Stein's method via induction

DOI10.1214/20-EJP535zbMath1469.60074arXiv1903.09319OpenAlexW3094804362MaRDI QIDQ2024519

Louis H. Y. Chen, Larry Goldstein, Adrian Roellin

Publication date: 4 May 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.09319

zbMATH Keywords

Stein's methodKolmogorov distanceJack measureErdős-Rényi random graphoptimal rates

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random graphs (graph-theoretic aspects) (05C80) Combinatorial aspects of representation theory (05E10) Combinatorial probability (60C05)

Cites Work

• A Berry-Esseen bound for the uniform multinomial occupancy model
• Fundamentals of Stein's method
• Exponential bounds for the hypergeometric distribution
• Stein's method, Jack measure, and the Metropolis algorithm
• Concentration of measures via size-biased couplings
• An inductive proof of the Berry-Esseen theorem for character ratios
• Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
• A remainder term estimate for the normal approximation in classical occupancy
• Stein's method and the zero bias transformation with application to simple random sampling
• Normal approximation under local dependence.
• A Berry-Esseen bound with applications to vertex degree counts in the Erdős-Rényi random graph
• On the error bound in the normal approximation for Jack measures
• \(L^1\) bounds in normal approximation
• Zero Biasing and Jack Measures
• Normal Approximation by Stein’s Method
• An estimate of the remainder in a combinatorial central limit theorem
• Multivariate normal approximations by Stein's method and size bias couplings
• Martingales and character ratios
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