Modified Estimator of Finite Population Variance in Simple Random Sampling

Abstract

This paper deals with modification of Milton’s estimator of population
variance using coefficient of quartile deviation and unknown weight of
auxiliary variable. The Bias and Mean Square Error (MSE) of proposed
estimator are obtained up to the first order of approximation by Taylor’s
Series Method. The expression for the unknown weight is obtained and
an empirical study was conducted to assess the performance of proposed
estimator over some selected existing estimators. A numerical study is
carried out to assess the efficiency of proposed estimator over the
existing estimator with the aid of some known natural populations.
Numerical study results shown that the proposed estimator performs
better than the existing estimators.