Mixture Lorenz curves

Sarabia, José Marı́a; Castillo, Enrique; Pascual, Marta; Sarabia, María

doi:10.1016/j.econlet.2005.05.015

Cited by 21 publications

(13 citation statements)

References 15 publications

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“…A possible solution to this problem consists of building more complex models combining some of the classical models, or using convex linear combinations of LCs. This is a natural solution, and some of the existent proposals in the literature respond to this idea: see Ogwang and Rao (2000) and Sarabia, Castillo, Pascual, and Sarabia (2005).…”

Section: Introductionmentioning

confidence: 89%

A general method for generating parametric Lorenz and Leimkuhler curves

Sarabia

Gómez–Déniz

Sarabia

et al. 2010

Journal of Informetrics

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Section: Introductionmentioning

confidence: 89%

A general method for generating parametric Lorenz and Leimkuhler curves

Sarabia

Gómez–Déniz

Sarabia

et al. 2010

Journal of Informetrics

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“…Recent research about the Lorenz curve (Basmann et al, 1990;Ryu and Slottje, 1996;Sarabia et al, 2005 andSarabia, 2008a) has shown that some families of LCs approximate only some segments of the income distribution but not others. This fact justifies the consideration of more complex models for the LC beginning with an initial LC.…”

Section: Extensionsmentioning

confidence: 99%

“…which will be used in next Section. Other kind extensions can also be considered using the methodologies proposed by Sarabia et al (1999) and Sarabia et al (2005).…”

Section: Extensionsmentioning

confidence: 99%

“…The setting of obtaining an adequate functional form for this curve, continues being an active research field. Different parametric models for LCs, have been proposed by Kakwani and Podder (1976), Rasche et al (1980), Aggarwal (1984), Aggarwal and Singh (1984), Arnold (1986), Pakes (1986), Arnold et al (1987), Villaseñor and Arnold (1989), Basmann et al (1990), Ortega et al (1991), Chotikapanich (1993), Holm (1993), Ryu and Slottje (1996), Sarabia (1997), Slottje (1999, 2001), Rao (1996, 2000), Sarabia and Pascual (2002), Sarabia et al (2005Sarabia et al ( , 2010, Rhode (2009) and Helene (2010).…”

Section: Introductionmentioning

confidence: 99%

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The Lamé class of Lorenz curves

Sarabia

Jordá

Trueba

2017

Communications in Statistics - Theory and Methods

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In this paper, the class of Lamé Lorenz curves is studied. This family has the advantage of modeling inequality with a single parameter. The family has a double motivation: it can be obtain from an economic model and from simple transformations of classical Lorenz curves. The underlying cumulative distribution functions have a simple closed form, and correspond to the Singh-Maddala and Dagum distributions, which are well known in the economic literature. The Lorenz order is studied and several inequality and polarization measures are obtained, including Gini, Donaldson-Weymark-Kakwani, Pietra and Wolfson indices. Some extensions of the Lamé family are obtained. Fitting and estimation methods under two different data configuration are proposed. Empirical applications with real data are given. Finally, some relationships with other curves are included.

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“…This feature is not so common, since it is well-known that both the Lorenz and the Bonferroni curves are necessarily increasing functions of p (see for example Sarabia et al [16]). For the I(p) curve this restriction does not apply.…”

Section: Features Of the I(p) Curvementioning

confidence: 99%