基于粒子群优化算法的洛伦兹曲线参数估计及基尼系数的计算

Based on Particle Swarm Optimization Algorithm to Estimate Parameters of Lorenz Curve and Calculation of the Gini Coefficient

根据已有洛伦兹曲线模型,应用粒子群优化算法对洛伦兹曲线参数进行估计。由拟合的洛伦兹曲线计算2002-2011年我国城镇和农村的基尼系数,再利用"分组加权法"得出我国总体的基尼系数。结果表明:粒子群优化算法可以有效地估计洛伦兹曲线中的参数;由该算法的估计参数所确定的洛伦兹曲线估算2002-2011年基尼系数,其变化趋势与其它预测相符。从而为洛伦兹曲线提供了可靠、有效的参数估计方法。

According to established Lorenz curve equation,this paper uses particle swarm optimization algorithm to estimate parameters of the equatiom Then it calculates the Gini coefficients of Chinese urban and rural from 2002 to 2011 by the fitted Lorenz curve . After that it computes Chinese overall Gini coefficient by weighting method. The final conclusion show that particle swarm optimization algorithm can effectively estimate parameters of Lorenz curve equatiom And the tendency of the Gini coefficients from 2002 to 2011 corresponds to the opinion of most scholars. So it provides a reliable and effective method for parameters estimation of Lorenz curve.