Edgeworth approximations to the distribution of the sample mean under simple random sampling

DOI10.1016/S0167-7152(97)00193-4zbMath0899.62013OpenAlexW2059084470MaRDI QIDQ1380661

R. A. Sugden, T. M. F. Smith

Publication date: 8 March 1998

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(97)00193-4

zbMATH Keywords

momentscumulantsfinite populationdelta methodEdgeworth expansionsimple random samplingstandardized meanstudentized mean

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Sampling theory, sample surveys (62D05) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (2)

Edgeworth expansions for two‐stage sampling with applications to stratified and cluster sampling ⋮ Empirical saddlepoint approximations of the Studentized mean under simple random sampling

Cites Work

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• Edgeworth expansion of a function of sample means
• An asymptotic expansion for samples from a finite population
• Saddlepoint expansions in finite population problems
• On Product Moments from a Finite Universe
• The bootstrap and Edgeworth expansion

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