An Edgeworth expansion for symmetric finite population statistics

DOI10.1214/aop/1029867127zbMath1010.62017OpenAlexW2059982799MaRDI QIDQ1872293

Friedrich Götze, Mindaugas Bloznelis

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1029867127

zbMATH Keywords

finite populationEdgeworth expansionsampling without replacementHoeffding decompositionsmoothness conditions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Sampling theory, sample surveys (62D05)

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Hoeffding-ANOVA decompositions for symmetric statistics of exchangeable observations. ⋮ Edgeworth expansions for network moments ⋮ Proof of Tomaszewski's conjecture on randomly signed sums ⋮ Asymptotic analysis of symmetric functions ⋮ Exchangeable Hoeffding decompositions over finite sets: a combinatorial characterization and counterexamples ⋮ Anticoncentration and Berry-Esseen bounds for random tensors ⋮ Confidence intervals for quantile estimation using jackknife techniques ⋮ Hoeffding decompositions for exchangeable sequences and chaotic representation of functionals of Dirichlet processes. ⋮ Unnamed Item ⋮ Hoeffding decompositions and urn sequences ⋮ Willem van Zwet's research

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