## Gini coefficient of inequality formula

The geometrical derivation of the Gini Index and an alternative formula . The Gini Index is an inequality measure that is mostly associated with the descriptive. 6 Lorenz curve and other inequality measures∗. 16 This formula opens the way to an interpretation of the Gini coefficient in term of covariance as. Cov(y, F(y )) The Gini coefficient is a commonly-used measure of income inequality that condenses the entire income distribution for a country into a single number between The Gini coefficient is a measure of inequality of a distribution. It is defined as a ratio I am still confuse how to calculate by looking at the formula. Thanks. View. Keywords: wealth, inequality, Atkinson, Lorenz curve, Gini coefficient, Pietra index, Taking the covariance formula for the Gini coefficient, = 2. 22 Jan 2013 The Formula. How an equation cooked up by Mussolini's numbers guy came to define how we think about inequality—from Occupy Wall Street to

## on the Gini coefficient as the measure of income inequality … is an unhealthy Again, for purposes of calculation, the defining formula for the Gini ratio is not

In general, societies experience neither perfect equality nor perfect inequality, so Gini coefficients are typically somewhere between 0 and 1, or between 0 and 100% if expressed as percentages. The Gini Coefficient ranges between 0 and 1 (or it can also be expressed as a number from 0 to 100) and is given by the ratio of the areas: If A = 0, it means the Lorenz Curve is actually the Line of Equality. In this case, the Gini Coefficient is 0 and it means there is "perfect" distribution of income (everyone earns the same amount). The Gini index or Gini coefficient is a statistical measure of distribution developed by the Italian statistician Corrado Gini in 1912. It is often used as a gauge of economic inequality, measuring income distribution or, less commonly, wealth distribution among a population. In order to calculate the Gini coefficient, it's important to first understand the Lorenz curve, which is a graphical representation of income inequality in a society.A hypothetical Lorenz curve is shown in the above diagram.

### 14 Feb 2012 In between 0 and 100, Gini coefficients are harder to interpret. A Gini coefficient of 50 represents 50 percent concentration in a country's income

The Gini coefficient is a popular measure of income inequality. a covariance formula suggested by Lerman and Yitzhaki (1989). We suggest an alternative The Gini coefficient equals the area between the line of equality and the cumulative wealth of the agents divided by the area under the line of equality as shown in Mathematics, Quantitative Literacy, Inequality, Gini Coefficient, Calculus, Social and use the area formula for the triangle to make reasonable estimates. Economic inequality most often refers to disparities in wealth and income that may above, we can calculate the Gini coefficient using the following formula:. 19 Sep 2011 Income inequality can be measured and compared using something called the Gini coefficient, a century-old formula that measures national

### 12 Nov 2012 Both the Lorenz curve and the line of equality are plotted on a graph. Then the area between the two graphs is computed. The Gini coefficient is

The Gini coefficient is commonly used as a measure of inequality of income, consumption, or wealth. There was an attempt to apply the Gini index to measure 12 Sep 2011 The Gini coefficient is compared with the Theil index and a number of Atkinson indexes. Different summary measures of inequality embody different judgments about the relative gains and Equation: greek u equation Lorenz and Corrado Gini each arrived at a new measure of inequality, and Lorenz curve and Gini coefficient are examples of new entities, their purpose This equation, which has since become known as Pareto's Law, implies a linear.

## What is the Gini Coefficient? The Gini coefficient is a commonly-used measure of income inequality that condenses the entire income distribution for a country into a single number between 0 and 1: the higher the number, the greater the degree of income inequality.

In economics, the Gini coefficient, sometimes called Gini index, or Gini ratio, is a measure of statistical dispersion intended to represent the income or wealth distribution of a nation's residents, and is the most commonly used measurement of inequality. Income Inequality: The Gini Coefficient The Gini Coefficient is calculated by plotting the distribution of wealth in a society against total equality. In “total equality”, each decile of the population owns 10% of the wealth, giving a straight line (Area A+B in the below graphs). The Gini Coefficient is then area B divided by area A+B. Using the information above, we can calculate the Gini coefficient using the following formula: Gini Coefficient = Area A / (Area A + Area B) The higher the coefficient, the smaller area B is, meaning the lower the economic inequality is.

Thomas, Wang, and Fan use a Gini index to measure inequality in educational attainment. They present two methods (direct and indirect) for calculating an education Gini index and generate a quinquennial data set on education Gini indexes for the over-15 population in 85 countries (1960–90). Notes on how to compute Gini Coefficient Suppose you are given data like this: The lowest 10% of earners make 2% of all wages The next 40% of earners make 18% of all wages The next 40% of earners make 30% of all wages The highest 10% of earners make 50% of all wages The index is based on the Gini coefficient, a statistical dispersion measurement that ranks income distribution on a scale between 0 and 1. The measure has been in use since its development by