Use of Non-Conventional Measures of Dispersion for Improved Estimation of Population Mean

In this paper, we have proposed some improved modified ratio type estimators for population mean of study variable using auxiliary information in the form of non-conventional measures of dispersion Gini’s mean difference, Downton’s method and probability weighted moments given by Abid (2016) with linear combination of population coefficient of Skewness and Kurtosis of auxiliary variable. The large sample properties of the proposed estimators have been studied up to the first order of approximation that is the biases and the mean squared errors. A comparison has been made with the existing estimators of population mean. The conditions under which the proposed estimators perform better than the other existing estimators have been mentioned. An empirical study is also carried out to justify the theoretical findings. The theoretical as well as the empirical findings show the improvement of the proposed estimators over other existing estimators for the estimation of population mean.