## The Annals of Statistics

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

### Repeated Sampling with Partial Replacement of Units

#### 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