An Improved Generalized Class of Estimator for Finite Population Mean in Stratified Systematic Sampling using Auxiliary Information

Abstract

This paper introduces, the generalized class of exponential-type estimator in stratified systematic sampling scheme is proposed for estimating the population mean  of the study variable  using auxiliary information . Theoretical expressions for bias and mean square error (  are derived up to the first order of approximation. A simulation study, along with analysis of three real data sets, is conducted to evaluate the performance of these estimators, where the percent relative efficiency ( ) is considered as a performance criterion. The result indicate that the proposed estimator is outperforms the traditional mean, product and regression estimators in term of efficiency.  The simulation study was performed using R software.