Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs

DOI10.1214/18-AOP1255zbMath1466.60052arXiv1710.01554OpenAlexW2761681296WikidataQ128746626 ScholiaQ128746626MaRDI QIDQ1731884

Zhuo-Song Zhang, Qui-Man Shao

Publication date: 14 March 2019

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

Full work available at URL: https://arxiv.org/abs/1710.01554

zbMATH Keywords

Stein's methodquadratic formssimple random samplingBerry-Esseen boundexchangeable pairsmonochromatic edgesgeneral Curie-Weiss modelmean field Heisenberg model

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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