On the Edgeworth expansion and the bootstrap approximation for a Studentized U-statistic

DOI10.1214/aos/1176347994zbMath0734.62049OpenAlexW2166684980MaRDI QIDQ811058

Roelof Helmers

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1214/aos/1176347994

zbMATH Keywords

bootstrap approximationasymptotic accuracynormal approximationmoment assumptionsbootstrap based confidence intervalsEdgeworth based confidence intervalsEdgeworth expansion estimateestimated one- term Edgeworth expansionnonlattice conditionStudentized U- statistic

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Nonparametric statistical resampling methods (62G09)

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