Efficient Rotation Pattern in Two-Phase Sampling

Abstract

The present investigation is an attempt to estimate the population mean on current occasion in two-phase successive (rotation) sampling over two occasions. Utilizing information on two auxiliary variables one chain-type estimator has been proposed to estimate the population mean on the current occasion. Properties of the proposed estimator have been studied and its optimum replacement strategy is discussed. The proposed estimator has been compared with sample mean estimator when there is no matching and the natural optimum estimator, which is a linear combination of the means of the matched and unmatched portions of the sample on the current occasion. Results are demonstrated through empirical studies which are followed by suitable recommendations.

Keywords

• Two-phase; Successive sampling; Auxiliary variables; Chain-type; Exponential; Regression; Bias; Mean square error; Optimum replacement policy.