Advancements in ratio estimators: New linear combinations for estimating population mean

Abstract

Sampling is the technique of selection of part of an aggregate population to represent the whole population and sample obtained is expected to be true representative of the whole population. In this paper, we have suggested ratio estimator using Tri-mean and the expression of bias and mean square error of the proposed estimator is derived up to first order approximation. An empirical study has been carried out to judge the merit of the suggested estimator over other existing estimators practically. From the results, the proposed estimator having mean square error (2692.15) and % relative efficiency is 145.8%, which shows that the efficiency of the proposed estimator is more than the existing estimators.