Asymptotic expansions in the integral and local limit theorems in Banach spaces with applications to \(\omega\)-statistics

DOI10.1007/BF01049174zbMath0807.60007OpenAlexW1972758482MaRDI QIDQ1322502

Ričardas Zitikis, Vidmantas Bentkus, Friedrich Götze

Publication date: 28 February 1995

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

Full work available at URL: https://doi.org/10.1007/bf01049174

zbMATH Keywords

asymptotic expansionsconvergence rateempirical distribution functioncentral limit theorem in Banach spacesomega-statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

Rates of convergence in the asymptotic normality for some local maximum estimators, Explicit rates of approximation in the CLT for quadratic forms, Uniform rates of approximation by short asymptotic expansions in the CLT for quadratic forms, Optimal bounds in non-Gaussian limit theorems for \(U\)-statistics

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