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July, 1977 Repeated Sampling with Partial Replacement of Units
E. Manoussakis
Ann. Statist. 5(4): 795-802 (July, 1977). DOI: 10.1214/aos/1176343903


This paper is concerned with the minimum variance estimation of a time-dependent population mean, assuming that one is restricted to the case of linear unbiased estimators. A number of results are given for a new rotation sampling model (RSM), in which unequal sample sizes are used on each occasion. Also results corresponding to the special case of sampling with a fixed sample size on all the occasions are derived. Finally the optimum structure of the suggested model is discussed and a comparison of this sampling scheme with Patterson's and Eckler's schemes is made.


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E. Manoussakis. "Repeated Sampling with Partial Replacement of Units." Ann. Statist. 5 (4) 795 - 802, July, 1977.


Published: July, 1977
First available in Project Euclid: 12 April 2007

zbMATH: 0363.62010
MathSciNet: MR652528
Digital Object Identifier: 10.1214/aos/1176343903

Primary: 62D05

Keywords: minimum variance linear unbiased estimator , partial correlation coefficient , random sampling , repeated sampling , rotation sampling

Rights: Copyright © 1977 Institute of Mathematical Statistics


Vol.5 • No. 4 • July, 1977
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