This paper is concerned with the Gini coefficient as a concentration measure of the distribution. The proposed formula for the aimputation of the Gini coefficient allows its decomposition according to different sub-groupe of the initial population, either exactly or approximately.From a statisticad point of view, the Lorenz curve and moreover the corresponding Gini coefficient have been regarded as measures of the concentration of the variate values themmlves instead of the deviations from a central value. Although i t is more difficult to cumpute them, in comparison to the standard deviation, they have the advantage to be a linear rather a quadratic measure.The Lorenz curve, the 80 called curve of concentration, may be defined by the ordinate L and the abscissa F which represent the values of the incomplete first moment and the cumulative distribution, respectively, such as :
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