RATIO TYPE ESTIMATOR OF SQUARE OF COEFFICIENT OF VARIATION USING QUALITATIVE AUXILIARY INFORMATION
This paper deals with the estimation of square of coefficient of variation which is comparatively a more stable quantity using ratio type estimator. Its bias and mean square error (MSE) are found to the first order of approximation. An optimum subclass of estimators is also obtained and a comparative study with the conventional square of sample coefficient of variation estimator is made. It has further been shown that estimation of parametric values involved in the optimum subclass does not reduce the efficiency of the proposed estimator. An empirical example showing the increased efficiency of proposed estimator over square of sample coefficient of variation estimator is also included as an illustration.