关键词: 拓展基尼系数, 组数据, 健康不平等, 税收累进性

Abstract: This Paper discusses computing extended Gini index for grouped data, promotes new methods of covariance and slope for Gini index, proves several characters of extended Gini index which satisfied with poverty axioms, corrects some mistakes about extended concentration index, redefines extended health equality index and health effective, gives several defines for tax progressive, and defines a new measurement of tax progressive with tax relative marginal effect. Applying above methods to maternal mortality rate and revenue of local government by region in China, empirical analysis of health equality and tax progressive are carried on.

Key words: extened Gini index, grouped data, health equality, tax progressive