Aamir Sanaullah

Generalized exponential chain ratio estimators under stratified two-phase random sampling

In this study, we have considered stratified two-phase sampling scheme for estimating the population mean of study variable taking auxiliary information. The proposed chain estimators are the exponential function of auxiliary variables. The mean square errors and biases equations have been obtained for the proposed estimators. Further, the proposed estimators are given in generalized form. The conditions for which proposed estimators are more efficient as compared to other estimators have been discussed. It is shown that the proposed estimators are more efficient as compared to the unbiased sample mean estimator, modified stratified two-phase ratio and product estimators. Empirical study has also been carried out to demonstrate the performance of proposed estimators.