Author(s)

Lingfei Kong

Corresponding Author

Lingfei Kong

Abstract

The Gini Index, derived from the Lorentz curve, serves as a benchmark for assessing wealth inequality within a nation. Employing calculus and curve-fitting techniques to establish the Lorentz curve model not only furnishes a theoretical foundation for more effectively tracking the income distribution among residents but also holds practical implications. Additionally, a thorough examination of the Lorentz curve's first and second derivatives enables a profound analysis of how alterations in national income and population dynamics impact the curve, offering valuable insights into the intricacies of income distribution patterns.

Keywords

Gini Index; Lorenz Curve; Curve-fitting Method; Riemann Sum Method