关键词: 收入分布函数, 基尼系数, 平均数与中位数比值

Abstract: It needs further explore in this field in China, despite great significance in the research on the functions of income distribution for the exploration about income inequality. Based on the review of literatures, we sort the relative research abroad; categorize the frequently-used income distributions into two sorts: functions of bi-parametric distribution and functions of multi-parametric; and introduce the effects on all kinds of functions fitting distribution of real resident income and the relationship between them and Gini Coefficient. Meanwhile, this paper analyses the inherent relations among these functions. Furthermore, on the basis of distribution functions, the authors explore the internal relation among income disparity and income mobility as well as the mathematical relationship between the values of Mean and Median and the Gini Coefficient, and then raise the method to estimate the parameters of distribution functions with this ratio. According to the results above, this paper studies the income structure and poverty issues of urban residents in 2010, and then proposes several forecasting proposals.

Key words: Income distribution function, Gini Coefficient, Ratio of Mean to Median