The k-generalized distribution: A new descriptive model for the size distribution of incomes

F. Clementi; T. Di Matteo; M. Gallegati; G. Kaniadakis

doi:10.1016/j.physa.2008.01.109

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arXiv · 0710.3645

The k-generalized distribution: A new descriptive model for the size distribution of incomes

F. Clementi·T. Di Matteo·M. Gallegati·G. Kaniadakis

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Abstract

This paper proposes the k-generalized distribution as a model for describing the distribution and dispersion of income within a population. Formulas for the shape, moments and standard tools for inequality measurement - such as the Lorenz curve and the Gini coefficient - are given. A method for parameter estimation is also discussed. The model is shown to fit extremely well the data on personal income distribution in Australia and the United States.

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F. Clementi, T. Di Matteo, M. Gallegati, G. Kaniadakis. 2008-01-25. The k-generalized distribution: A new descriptive model for the size distribution of incomes. https://doi.org/10.1016/j.physa.2008.01.109

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