3 papers
math.ST2026
Revisiting "A universal model for the Lorenz curve with novel applications''
José MarÃa Sarabia, Vanesa Jordá, Mercedes TejerÃa +1
This research reviews several crucial aspects of the universal model for the Lorenz curve proposed by Sitthiyot and Holasut (2023) (hereafter, SH (2023)). A first issue concerns th…
math.NT2026
Multiple integral representations of the Catalan's constant
Emilio Gómez-Déniz, José MarÃa Sarabia
In this paper, we present several novel integral representations of Catalan's constant. We begin by deriving an initial result expressed as a double integral. Subsequently, as a co…
stat.AP2026
Beyond the Beta Lorenz Curve: A New Parametric Family for Poverty and Inequality Estimation
José MarÃa Sarabia, Vanesa Jordá, Emilio Gómez-Déniz
The estimation of inequality and poverty measures is frequently constrained by a lack of individual data. When only income shares are available, the Beta Lorenz curve introduced by…