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Lorenz Curves and the Gini Coefficient
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GINI COEFFICIENT &
ECONOMIC WELFAREPRESENTED BY:
Ashima GoelAyushi Gupta
Neha SagarSaurav Kalia
Varun KaushikVivek Khanna
IntroductionGini Coefficient is a measure of inequalitydeveloped by the Italian statistician Corrado
Ginipublished in his 1912 paper Variabilità e
mutabilitàIt is commonly used as a measure of
inequality of income or wealth.
Contd..It is defined as a ratio and can range from 0
and 1 (0% to 100%)The Gini index is the Gini coefficient
expressed as a percentage.Gini index = gini coefficient *100
CalculationThe Gini coefficient is calculated as a ratio of
areas on the Lorenz curve diagram. for Gini coefficient to be an unbiased
estimate of the true population value, it should be multiplied by n/(n-1).
Problems In MeasurementComparing income distributions among
countries may be difficult because benefits systems may differ.
The measure will give different results when applied to individuals instead of households
As for all statistics, there may be systematic and random errors in the data.
countries may collect data differently
Lorenz curveHistoryDefinition
Inequality by Lorenz Curve
GINI COEFFICENT&
LORENZ CURVE
Importance of Gini coefficientIt measures inequality by ratio analysis.Used to compare different income
distribution in sectorsIt can easily be interpretedSatisfies principles like anonymity, scale
independence ,population independence , transfer principle.
Limitations of GINI coefficientDoes not work for large populationEconomies with same gini and income can
have income variance.Only measures current income rather life
time Does not include wealth incomeMust be cared with respect as measure of
egalitarianismMore focus on timeGrowth of income cannot be measured