A New Lorenz Curve Model Based on Income Distribution Research

Income distribution is related to the people´s standard of living. Distributive justice is a widely concerned topic. And middle-income population is an important index to reflect the structure of income distribution. The larger proportion of it, means that the income distribution structure more reasonable. By studying the relevant literature, this paper sums up 10 kinds of Lorenz curve model, and fits the 10 models for packet data, we found that if the model can meet the general method of the Lorenz curve models, the fitting precision is not too bad. And based on the rational use of some parameters of the model (such as the introduction of sine and cosine function), the fitting accuracy will be further improved. According to the information, this article introduces the hyperbolic sine and cosine function, structures the Lorenz curve model. Use the nonlinear least-squares fitting of the model, and compare the fitting accuracy and standard error structure of the model with the existing model, we construct the fitting precision accuracy of the model has reached higher, superior to other models.