# Lorenz curve

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## Lorenz Curve

A graph showing what percentage of a population possesses a certain percentage of a thing. For example, a Lorenz curve may show that the top five percent of the people in a country control 40% of the wealth. While it may be used in ecology as well as some other fields, it is frequently used in economics to represent social inequality. It was developed in 1905.

## Lorenz curve

see CONCENTRATION MEASURES.
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References in periodicals archive ?
The Lorenz curve (Figure 2) shows the distribution of tourist arrivals against the months of year.
This creates a type of Lorenz curve, L(x), which represents how national personal income is actually distributed across die (x = 50) states.
The Pareto Lorenz curve indicated that a specialized community of bacteria were present in 30 days old panchagavya.
Keywords: Income Inequality; GB2; Gini Index; Generalized entropy measure; Lorenz Curve
To construct a Lorenz curve, we rank households according to their wealth; the Lorenz curve plots the fraction of total wealth that is held by households who are poorer than a given fraction of the population.
where L(i) is the Lorenz curve, and G is, by definition, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
The Gini Coefficient, founded by Corrado Gini in 1912, is a quantitative representation of the Lorenz Curve.
These portfolios are natural extensions of the classic Lorenz curve and associated Gini index that we review in the following.
Negative values indicate that the concentration curve lies above the Lorenz curve and therefore the financing system can be regarded as regressive, as is the case illustrated in Figure 1.
The general Lorenz curve shown in Figure 1 plots the cumulative share of the number of individuals by income (from smallest to largest incomes) (on the x-axis) and the cumulative share of income (on the y-axis).
The Gini coefficient model and the Lorenz curve estimates are often used to describe market structure.
If all employers had the same low-wage density, the Lorenz curve would be a 45-degree '/'-shaped line.

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