Abstract
This article proposes the κ-generalized distribution as a descriptive model for the distribution and dispersion of income within a population based on the deformed exponential and logarithm functions recently introduced by Kaniadakis (Phys A 296:405–425, 2001; Phys Rev E 66:056125, 2002; Phys Rev E 72:036108, 2005). Expressions are reported which facilitate the analysis of the associated moments and various tools for the measurement of inequality. An empirical application, including a comparison of alternative distributions, is made to household income data in Italy for the years 1989 to 2006.
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Clementi, F., Gallegati, M. & Kaniadakis, G. A model of personal income distribution with application to Italian data. Empir Econ 39, 559–591 (2010). https://doi.org/10.1007/s00181-009-0318-2
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DOI: https://doi.org/10.1007/s00181-009-0318-2