The concentration curve represents the relationship between cumulative relative fractions of statistical units and cumulative relative fractions of intensities of a transferable phenomenon between statistical units. In this article is studied - through a mathematical approach - the Lorenz curve, 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 equidistribution up to (almost) the case of maximum concentration.
Distributive adaptation of the Lorenz curve to a Squircle
Crescenzio Gallo
Software
;
2021-01-01
Abstract
The concentration curve represents the relationship between cumulative relative fractions of statistical units and cumulative relative fractions of intensities of a transferable phenomenon between statistical units. In this article is studied - through a mathematical approach - the Lorenz curve, 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 equidistribution up to (almost) the case of maximum concentration.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
