Gini Coefficient

Tags: #Economics #Microeconomics

Equation

$$G = \frac{S_{A}}{S_{B}} \\ G = 1 - \sum^{n}_{i=1} P_{i} \times (2 Q_{i} - W_{i}) \\ Q_{i} = \sum^{i}_{k = 1} W_{k}$$

Latex Code

                                 G = \frac{S_{A}}{S_{B}} \\
G = 1 - \sum^{n}_{i=1} P_{i} \times (2 Q_{i} - W_{i}) \\
Q_{i} = \sum^{i}_{k = 1} W_{k}

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Introduction

Equation

$G = \frac{S_{A}}{S_{B}} \\ G = 1 - \sum^{n}_{i=1} P_{i} \times (2 Q_{i} - W_{i}) \\ Q_{i} = \sum^{i}_{k = 1} W_{k}$

Latex Code

            G = \frac{S_{A}}{S_{B}} \\
            G = 1 - \sum^{n}_{i=1} P_{i} \times (2 Q_{i} - W_{i}) \\
            Q_{i} = \sum^{i}_{k = 1} W_{k}

Latex code for Gini Coefficient. The Gini coefficient (Gini index or Gini ratio) is a statistical measure of economic inequality in a population. The coefficient measures the dispersion of income or distribution of wealth among the members of a population.

$S_{A}$ : Area between Line of Perfect Equality and Lorenz Curve.
$S_{B}$ : Area of Triangle between X-axis (Cumulative of Families) and Y-axis(Cumulative of Income).
$W_{i}$ : The ratio of i-th group's income/total income
$Q_{i}$ : The ratio of cumulative i-th group's income(increasing order)/total income
$P_{i}$ : The ratio of i-th group's population(P)/total population(P)