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.