One- and two-term Edgeworth expansions for a finite population sample mean. Exact results. I

DOI10.1007/BF02465130zbMath0966.62008OpenAlexW4247238249MaRDI QIDQ5930982

Mindaugas Bloznelis

Publication date: 17 August 2001

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465130

zbMATH Keywords

Cramer conditionEdgeworth expansionsfinite population

Mathematics Subject Classification ID

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

Related Items (4)

Edgeworth expansions for two‐stage sampling with applications to stratified and cluster sampling ⋮ On Edgeworth expansions in generalized urn models ⋮ Approximation by normal distribution for a sample sum in sampling without replacement from a finite population ⋮ Cramér-type large deviations for samples from a finite population

Cites Work

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• Normal approximation for finite-population U-statistics
• An Edgeworth expansion for U-statistics based on samples from finite populations
• Mixtures of global and local Edgeworth expansions and their applications
• Asymptotic expansions for the power of distribution free tests in the one-sample problem
• An asymptotic expansion for samples from a finite population
• Berry-Esseen bounds for finite-population \(t\)-statistics
• Probability Inequalities for Sums of Bounded Random Variables

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