© 1987 by Biometrika Trust
AMENDMENTS AND CORRECTIONS |
Some asymptotic results for the systematic and stratified sampling of a finite population
This paper leaves a misleading impression. When estimating a population mean,
, the estimator
, where
is the sample mean of the Yi and G is any bounded function of the sample, is design consistent in both the Cochran sense, as sample size n approaches population size N, and the Isaki-Fuller sense, as n approaches infinity with n/N fixed, under simple random sampling. The perversity of Cochran design consistency may be seen when
G is combined with a different samping design, D, that selects with certainty the n units with smallest Xi, values. Not only is the estimation strategy combining D and
G Cochran design consistent, but so is the strategy combining D and
.