A general method for generating parametric Lorenz and Leimkuhler curves

José María Sarabia (), Emilio Gómez-Déniz, María Sarabia and Faustino Prieto

Journal of Informetrics, 2010, vol. 4, issue 4, 524-539

Abstract: Let L0 consider an initial Lorenz curve. In this paper we propose a general methodology for obtaining new classes of parametric Lorenz or Leimkuhler curves that contain the original curve as limiting or special case. The new classes introduce additional parameters in the original family, providing more flexibility for the new families. The new classes are built from an ordered sequence of power Lorenz curves, assuming that the powers are distributed according to some convenient discrete random variable. Using this method we obtain many of the families proposed in the literature, including the classical proposal of Bradford (1934), Kakwani and Podder (1973) and others. We obtain some inequality measures and population functions for the proposed families.

Keywords: Productivity; Cumulative distribution function; Probability generating function; Gini index (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:infome:v:4:y:2010:i:4:p:524-539

DOI: 10.1016/j.joi.2010.06.002

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