Dispersion, Asymmetry and the Gini Index of Inequality
证明基尼指数属于相对平均偏差族，并定义了一个新的不对称指数，说明对称分布的基尼指数总小于或等于二分之一，而大于二分之一时分布必为右偏。
The paper shows that the value of the Gini Index of Inequality (Concentration) depends on the skewness of the income distribution. It i s first proved that the Gini Index belongs to the family of relative mean deviat ions. Then a new asymmetry index is defined which allows one to show that the Gini Index of symmetric distributions is always smaller or equal to one-half, whereas a necessary condition for the Gini Index to be greater than one-half is that the distribution be skewed to the right. Copyright 1987 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.