An basic introduction to the Lorenz curve. Learn how to use it to measure income equality and how to plot the Lorenz curve itself.
#ریاضی #Math #Maximum #Second #Order #Entropy # LorenzCurve In this work, we derive a family of maximum second order entropy distributions provided that the mean and the Gini index are known as the optional side conditions. Then via these distributions, families of Lorenz curves are obtained which are compatible with the optional side conditions. Also some results are derived via maximization of the Second order entropy in view of income distributions.
Figure 1: Illustration of Gini Coefficient and Its Calculation. Suppose we examine the income of every individual of a country and arrange the individuals in order of increasing income. If we plot the percentage of national income versus the population percentage (Lorenz curve), we will get a curve like that shown
This video introduces the Lorenz curve, which gives a way to show income inequality graphically.