A refined Cramér-type moderate deviation for sums of local statistics

DOI10.3150/20-BEJ1195zbMath1434.60071OpenAlexW3020711167MaRDI QIDQ2175003

Xiao Fang, Li Luo, Qui-Man Shao

Publication date: 27 April 2020

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1587974543

zbMATH Keywords

Stein's methodU-statisticCramér-type moderate deviationErdős-Rényi random graphlocal dependenceskewness correction\(k\)-runs

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Random graphs (graph-theoretic aspects) (05C80) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (6)

Central limit theorem and self-normalized Cramér-type moderate deviation for Euler-Maruyama scheme ⋮ Deviation inequalities and Cramér-type moderate deviations for the explosive autoregressive process ⋮ Nearly optimal central limit theorem and bootstrap approximations in high dimensions ⋮ Cramér-type moderate deviations under local dependence ⋮ Robust high-dimensional tuning free multiple testing ⋮ Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs

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