Re-study on Calculation and Decomposition Methods of Gini Coefficient
This paper mainly studies the calculation and decomposition methods of Gini coefficient.Firstly,the paper dis-cusses and analyzes the defects of the calculation formulae of Gini coefficient,and revises relevant ungrouped formulae and grouped formulae.Then,the subgroup formulas of Gini coefficient are studied and the equivalence of different formulas is proved.New upper and lower bounds of Gini coefficient are given.Finally,the Gini coefficient of per capita disposable income of national residents from 2013 to 2019 is calculated.The results show that the Gini coefficient calculated by the modified formula is closer to the real Gini coefficient.
Gini coefficientsubgroup decompositionGini coefficient between groupsGini coefficient within groups