Median estimation with auxiliary variables

When skewed distributions such as consumptions and incomes are studied, the median is considered the more appropriate measure of location. The literature with regard to the estimation of the median is less extensive than the studies regarding the mean. Moreover the estimation of the median usually does not consider the use of auxiliary variables. In the present work the estimation of the median has been taken into consideration using di erent methods of analysis. First of all the estimation of the median without auxiliary information is analyzed. Then the method which considers the median of the auxiliary variable is the ratio estimator. Then two methods based on the regression estimator are analyzed : the rst one considers the regression based on the median regression,the second one is based on the minimum square method. The methods are compared selecting all possible samples from nine di erent small populations.