Income Inequality Distribution of the Residents of City of Jacksonville, Alabama Using Gini Index and Lorenz Curve

Title

Income Inequality Distribution of the Residents of City of Jacksonville, Alabama Using Gini Index and Lorenz Curve

Date

2-14-2023

Faculty Mentor

Kazi Rahman, Mathematics, Computing & Information Science

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Files

Submission Type

Paper

Location

1:45-1:55pm | Houston Cole Library, 11th Floor

Description

The Gini index and Lorenz curve are used to measure the distribution of income among the inhabitants of any given region. The Lorenz curve is represented as y=L(x) on the interval [0,1] by plotting the point (a/100, b/100) on the curve if the bottom a% of households receive at most b% of the total income. Whereas the Gini index (sometimes called the Gini coefficient or the coefficient of inequality) is the area between the Lorenz curve and the line y=x. We estimate the Gini index for the income inequality distribution of the residents of city of Jacksonville, Alabama using a quadratic and Lagrange polynomial model for the Lorenz function.

Keywords

student research, mathematics

Rights

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Disciplines

Applied Mathematics

Income Inequality Distribution of the Residents of City of Jacksonville, Alabama Using Gini Index and Lorenz Curve
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