Berry-Esseen Inequality for Unbounded Exchangeable Pairs

DOI10.1007/978-1-4614-1966-2_2zbMath1323.60039OpenAlexW2129650380MaRDI QIDQ5259023

Qui-Man Shao, Yanchu Chen

Publication date: 24 June 2015

Published in: Probability Approximations and Beyond (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-1966-2_2

zbMATH Keywords

Stein's methodBerry-Esseen inequalityexchangeable pairs

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Exchangeability for stochastic processes (60G09)

Related Items (7)

Empirical likelihood method for complete independence test on high-dimensional data ⋮ An improvement of a nonuniform bound for unbounded exchangeable pairs ⋮ Asymptotic power of Rao's score test for independence in high dimensions ⋮ A nonuniform bound to an independent test in high dimensional data analysis via Stein's method ⋮ Testing independence in high dimensions with sums of rank correlations ⋮ Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach ⋮ Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field

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