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
293-299
Sugden, R.A.
0483483b-5c6c-4f41-9b21-ff25a1c0e4ac
Smith, T.M.F.
61602253-c2d6-43a1-862b-291379e75318
1997
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), .
(doi:10.1016/S0167-7152(97)00193-4).
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.
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Published date: 1997
Keywords:
edgeworth expansion, standardized mean, studentized mean, finite population, simple random sampling, cumulants, moments, delta method
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Statistics
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Local EPrints ID: 30021
URI: http://eprints.soton.ac.uk/id/eprint/30021
ISSN: 0167-7152
PURE UUID: 538b8dc2-c685-4913-891b-4edd91452ead
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Date deposited: 16 Mar 2007
Last modified: 15 Mar 2024 07:36
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Author:
R.A. Sugden
Author:
T.M.F. Smith
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