Circular Systematic Sampling in the Presence of Linear Trend

Abstract

SYNOPTIC ABSTRACTThe present article deals with circular systematic sampling for estimation of a finite population mean in the presence of a linear trend among the population values. As a result, the optimum choice for the sampling interval kis obtained for a preassigned fixed sample size n and the population size N. Further, the explicit expression for the variance of a circular systematic sample mean is also obtained. The relative performance of the proposed circular systematic sampling with that of simple random sampling without replacement is assessed for a hypothetical population and also for some natural populations.