Estimation of coefficient of dispersion using auxiliary information

In this thesis, we introduce two new measures of the coefficient of dispersion which we will show have better properties than the existing measures. We next propose a naive estimator of the newly proposed measures of coefficient of dispersion, and find its biases and variance expressions to the first degree of approximation. In the case where an auxiliary variable is available we extend our work to obtain ratio and regression type estimators. Again the bias and variances of the ratio and regression estimators are derived analytically and are compared to the naïve estimator both analytically and empirically. Real data applications are also discussed. R codes for doing simulation studies have also been developed