Abstract

Ratio estimators are sometime to be found less efficient. There is very little research to estimate the variance of the population, so in this work an attempt was made to estimate the variance of the finite population under two-stage sampling in which the exponential ratio type estimator existing for estimating the variance of the finite population under two-stage sampling (case II) was modified and new five modified estimators for estimating finite population variance were obtained. The biases, MSEs, minimum MSEs and PREs of proposed estimators were derived. The empirical study has been conducted with three real life data and the result shows that the proposed estimators have the minimum MSE and higher PRE, which implies that the proposed estimators are more efficient than the existing estimators considered in the study.

Key words: Ratio, Variance, Two-stage sampling, Mean square error (MSE), Efficiency.