The University of Southampton
University of Southampton Institutional Repository

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

Edgeworth approximations to the distribution of the sample mean under simple random sampling.
Edgeworth approximations to the distribution of the sample mean under simple random sampling.
We derive the Edgeworth expansion to order n-1 of the cumulative distribution function of the studentized sample mean under simple random sampling from a finite population.
edgeworth expansion, standardized mean, studentized mean, finite population, simple random sampling, cumulants, moments, delta method
0167-7152
293-299
Sugden, R.A.
0483483b-5c6c-4f41-9b21-ff25a1c0e4ac
Smith, T.M.F.
61602253-c2d6-43a1-862b-291379e75318
Sugden, R.A.
0483483b-5c6c-4f41-9b21-ff25a1c0e4ac
Smith, T.M.F.
61602253-c2d6-43a1-862b-291379e75318

Sugden, R.A. and Smith, T.M.F. (1997) Edgeworth approximations to the distribution of the sample mean under simple random sampling. Statistics and Probability Letters, 34 (3), 293-299. (doi:10.1016/S0167-7152(97)00193-4).

Record type: Article

Abstract

We derive the Edgeworth expansion to order n-1 of the cumulative distribution function of the studentized sample mean under simple random sampling from a finite population.

This record has no associated files available for download.

More information

Published date: 1997
Keywords: edgeworth expansion, standardized mean, studentized mean, finite population, simple random sampling, cumulants, moments, delta method
Organisations: Statistics

Identifiers

Local EPrints ID: 30021
URI: http://eprints.soton.ac.uk/id/eprint/30021
ISSN: 0167-7152
PURE UUID: 538b8dc2-c685-4913-891b-4edd91452ead

Catalogue record

Date deposited: 16 Mar 2007
Last modified: 15 Mar 2024 07:36

Export record

Altmetrics

Contributors

Author: R.A. Sugden
Author: T.M.F. Smith

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×