An Edgeworth expansion for finite-population \(U\)-statistics

DOI10.2307/3318517zbMath0982.62009OpenAlexW2048641474MaRDI QIDQ1586578

Friedrich Götze, Mindaugas Bloznelis

Publication date: 7 April 2002

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3318517

zbMATH Keywords

central limit theoremfinite populationU-statisticsEdgeworth expansionsampling without replacement

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Sampling theory, sample surveys (62D05)

Related Items (8)

An Edgeworth expansion for symmetric finite population statistics ⋮ Extrapolation of subsampling distribution estimators: The i.i.d. and strong mixing cases ⋮ Hoeffding and Bernstein inequalities for U-statistics without replacement ⋮ Asymptotics and the theory of inference ⋮ Cramér-type large deviations for samples from a finite population ⋮ Some Further Results on Nonuniform Rates of Convergence to Normality in Finite Population with Applications ⋮ A Berry-Esseen theorem for hypergeometric probabilities under minimal conditions ⋮ Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics

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