Stein's method via induction
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Publication:2024519
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
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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