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.
2021
9788866290667
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/379658
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