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GINI COEFFICIENT & ECONOMIC WELFARE PRESENTED BY: Ashima Goel Ayushi Gupta Neha Sagar Saurav Kalia Varun Kaushik Vivek Khanna

Lorenz Curves and the Gini Coefficient

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Lorenz Curves and the Gini Coefficient

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Page 1: Lorenz Curves and the Gini Coefficient

GINI COEFFICIENT &

ECONOMIC WELFAREPRESENTED BY:

Ashima GoelAyushi Gupta

Neha SagarSaurav Kalia

Varun KaushikVivek Khanna

Page 2: Lorenz Curves and the Gini Coefficient

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.

Page 3: Lorenz Curves and the Gini Coefficient

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

Page 4: Lorenz Curves and the Gini Coefficient
Page 5: Lorenz Curves and the Gini Coefficient

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).

Page 6: Lorenz Curves and the Gini Coefficient

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

Page 7: Lorenz Curves and the Gini Coefficient

Lorenz curveHistoryDefinition

Page 8: Lorenz Curves and the Gini Coefficient

Inequality by Lorenz Curve

Page 9: Lorenz Curves and the Gini Coefficient

GINI COEFFICENT&

LORENZ CURVE

Page 10: Lorenz Curves and the Gini Coefficient
Page 11: Lorenz Curves and the Gini Coefficient

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.

Page 12: Lorenz Curves and the Gini Coefficient

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

Page 13: Lorenz Curves and the Gini Coefficient