Efficient Class of Estimators for the Population Variance Using Quartiles of Auxiliary Variable

摘要

The focus of this research is to explore a variance estimation for a given population based on quartiles and some other functions of quartiles of the auxiliary variable. The optimum value of the characterizing constant has been obtained ensuring the least amount of MSE of the suggested estimator. Also, we compare the estimator with the competing estimators through the numerical example within the theoretical assumptions. The results of the study show that the proposed estimator yielded the lowest value of MSE among all competing estimators.