A Robust Approach to Survey Estimation Using Non-conventional Auxiliary Population Parameters

In the present study, we have utilized the tool of modification technique for the precision and improvement of estimators to estimate the finite population variance, when the survey under investigation does not account for some of the important conditional distribution properties in its nature. The comparison and efficiency conditions of existing estimators with proposed estimators have been made through empirical study to seek the efficiency of modified and suggested estimators over existing estimators. Expressions for bias and mean square error have been derived up to the first order of approximation. The efficiency of modified and developed estimators is clearly based on the lesser mean square error of proposed estimators.