The concentration curve represents the relationship between cumulative relative fractions of statistical units and cumulative relative fractions of intensity of a transferable phenomenon between statistical units. In this article, the Lorenz curve is studied through a mathematical approach and ideally approximated to an arc belonging to a particular type of super circles or squircle defined precisely as "super-ellipse". From this elliptical curve we can finally deduce all the possible ramifications that the Lorenz curve can assume, starting from the case of equidis-tribution up to (almost) the case of maximum concentration.
Distributive adaptation of the Lorenz curve to a Squircle
C. Cusatelli;C. Gallo;
2021-01-01
Abstract
The concentration curve represents the relationship between cumulative relative fractions of statistical units and cumulative relative fractions of intensity of a transferable phenomenon between statistical units. In this article, the Lorenz curve is studied through a mathematical approach and ideally approximated to an arc belonging to a particular type of super circles or squircle defined precisely as "super-ellipse". From this elliptical curve we can finally deduce all the possible ramifications that the Lorenz curve can assume, starting from the case of equidis-tribution up to (almost) the case of maximum concentration.File in questo prodotto:
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