Development of Effective Estimation Strategy for Population Mean in Two - Phase Sampling

The present investigation deals with the problem of estimation of population mean in two-phase (double) sampling. Utilizing information on two auxiliary variables, one chain exponential ratio and regression type estimator has been proposed and its properties are studied under two different structures of two-phase sampling. To make the estimator practicable unbiased version of the proposed strategy has also been developed. The dominance of the suggested estimator over some contemporary estimators of population mean has been established through theoretical investigations. Theoretical developments are also supported with numerical illustrations carried over some natural population datasets and artificially generated population data set. Suitable recommendations to the survey statistician are also made.