Chapter 13.3, Problem 49E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Gini coefficient** If the Lorenz curve for the income distribution for a given year is

To determine

**To calculate:** The formula for Gini coefficient by using the integration where, the Lorenz curve for the income distribution for a year is

Explanation

**Given information:**

The Lorenz curve for the income distribution for a given year is

**Formula used:**

Gini Coefficient:

The Gini coefficient is used to calculate the inequality of income distribution as,

Where,

**Calculation:**

Consider the Lorenz curve,

Apply the formula of Gini coefficient as,

Substitute

Now, integrate the above expression with respect to

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