Improved estimators for population coefficient of variation using auxiliary variable

This paper propounds an improved estimation of coefficient of variation utilizing information on a single auxiliary variable. The expressions for mean square errors of the proposed estimators have been derived up to first order of approximation. At one hand, among the proposed estimators, some of the estimators under optimum conditions are more efficient than the usual estimator <(C) over cap>(y). On the other hand some proposed estimators under optimum conditions are less efficient than the existing estimators. Further an empirical study has been carried out to support the theoretical results and for that we have considered two natural population data sets.