## The Annals of Statistics

### Stratified Sampling with Exchangeable Prior Distributions

M. E. Thompson

#### Abstract

Suppose a finite population is stratified such that the variate values, appropriately scaled, are exchangeable within strata and independent from stratum to stratum. Consider designs with fixed sample sizes within strata, and unbiased estimators of the population total. Minimum expected variance is achieved with a stratified $\pi ps$ design and the usual (Horvitz-Thompson) unbiased estimator.

#### Article information

Source
Ann. Statist., Volume 6, Number 5 (1978), 1168-1169.

Dates
First available in Project Euclid: 12 April 2007

https://projecteuclid.org/euclid.aos/1176344320

Digital Object Identifier
doi:10.1214/aos/1176344320

Mathematical Reviews number (MathSciNet)
MR499582

Zentralblatt MATH identifier
0388.62013

JSTOR