Lorenz curve - translation to English
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Lorenz curve - translation to English

GRAPHICAL REPRESENTATION OF THE DISTRIBUTION OF INCOME OR OF WEALTH
Lorenz Curve; Lorenz Diagram; Lorenz curves; Lorenz frequency distribution curve; Lorenze curve
  • Lorenz curve for US wealth distribution in 2016 showing negative wealth and oligarchy
  • upright=1.2

Lorenz curve         
(n.) = curva de Lorenz
Ex: The so-called "Bradford distribution" derived by Leimkuhler is more properly viewed as the theoretical form of a variant of the Lorenz curve.
Lorenz         
PÁGINA DE DESAMBIGUACIÓN DE WIKIMEDIA
Lorenz (desambiguación); Lorenz (desambiguacion)
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* curva de concentración de Lorenz = Lorenz curve of concentration.
* curva de Lorenz = Lorenz curve.
Lorenz         
MALE GIVEN NAME
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* Lorenz curve = curva de Lorenz
* Lorenz curve of concentration = curva de concentración de Lorenz

Definition

Bezier curve
<graphics> A type of curve defined by mathematical formulae, used in computer graphics. A curve with coordinates P(u), where u varies from 0 at one end of the curve to 1 at the other, is defined by a set of n+1 "control points" (X(i), Y(i), Z(i)) for i = 0 to n. P(u) = Sum i=0..n [(X(i), Y(i), Z(i)) * B(i, n, u)] B(i, n, u) = C(n, i) * u^i * (1-u)^(n-i) C(n, i) = n!/i!/(n-i)! A Bezier curve (or surface) is defined by its control points, which makes it invariant under any affine mapping (translation, rotation, parallel projection), and thus even under a change in the axis system. You need only to transform the control points and then compute the new curve. The control polygon defined by the points is itself affine invariant. Bezier curves also have the variation-diminishing property. This makes them easier to split compared to other types of curve such as Hermite or B-spline. Other important properties are multiple values, global and local control, versatility, and order of continuity. [What do these properties mean?] (1996-06-12)

Wikipedia

Lorenz curve

In economics, the Lorenz curve is a graphical representation of the distribution of income or of wealth. It was developed by Max O. Lorenz in 1905 for representing inequality of the wealth distribution.

The curve is a graph showing the proportion of overall income or wealth assumed by the bottom x% of the people, although this is not rigorously true for a finite population (see below). It is often used to represent income distribution, where it shows for the bottom x% of households, what percentage (y%) of the total income they have. The percentage of households is plotted on the x-axis, the percentage of income on the y-axis. It can also be used to show distribution of assets. In such use, many economists consider it to be a measure of social inequality.

The concept is useful in describing inequality among the size of individuals in ecology and in studies of biodiversity, where the cumulative proportion of species is plotted against the cumulative proportion of individuals. It is also useful in business modeling: e.g., in consumer finance, to measure the actual percentage y% of delinquencies attributable to the x% of people with worst risk scores.