Variance Estimation Techniques in Time Scale Survey using Dual Auxiliary Variables: Mathematical and Simulation Approach

Accepted - June 2025

Abstract

This study improves the usual EWMA framework by incorporating two auxiliary variables, increasing the precision and efficiency of population variance estimates. The efficiency and accuracy of the estimation process are increased by including auxiliary variables, which are external variables that are connected to the variable of interest. Combining the approach with EWMA allows it to better monitor and estimate variation by utilizing the time-weighted component of EWMA as well as the link between the study variable and the auxiliary variables. The MSE of the proposed generalized class of memory type estimators have been obtained upto the first degree of approximation. An empirical study is carried out with the help of two populations to compare the performance of the suggested memory type estimators and the existing estimators in literature practically. To support the theoretical findings, a simulation study has also been conducted.