The Annals of Statistics

Repeated Sampling with Partial Replacement of Units

E. Manoussakis

Full-text: Open access

Abstract

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.

Article information

Source
Ann. Statist., Volume 5, Number 4 (1977), 795-802.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176343903

Digital Object Identifier
doi:10.1214/aos/1176343903

Mathematical Reviews number (MathSciNet)
MR652528

Zentralblatt MATH identifier
0363.62010

JSTOR
links.jstor.org

Subjects
Primary: 62D05: Sampling theory, sample surveys

Keywords
Random sampling repeated sampling rotation sampling partial correlation coefficient minimum variance linear unbiased estimator

Citation

Manoussakis, E. Repeated Sampling with Partial Replacement of Units. Ann. Statist. 5 (1977), no. 4, 795--802. doi:10.1214/aos/1176343903. https://projecteuclid.org/euclid.aos/1176343903


Export citation