Journal of Economics

, Volume 105, Issue 1, pp 63–91 | Cite as

A new model of income distribution: the κ-generalized distribution

  • Fabio ClementiEmail author
  • Mauro Gallegati
  • Giorgio Kaniadakis


This paper proposes a three-parameter statistical model of income distribution by exploiting recent developments on the use of deformed exponential and logarithm functions as suggested by Kaniadakis (Phys A 296:405–425, 2001; Phys Rev E 66:056125, 2002; Phys Rev E 72:036108, 2005). Formulas for the shape, moments and standard tools for inequality measurement are given. The model is shown to fit remarkably well the personal income data for Great Britain, Germany and the United States in different years, and its empirical performance appears to be competitive with that of other existing distributions.


Income distribution Income inequality κ-Generalized distribution 

JEL Classification

C16 D31 


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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Fabio Clementi
    • 1
    Email author
  • Mauro Gallegati
    • 2
  • Giorgio Kaniadakis
    • 3
  1. 1.Department of Studies on Economic DevelopmentUniversity of MacerataMacerataItaly
  2. 2.Department of EconomicsPolytechnic University of MarcheAnconaItaly
  3. 3.Department of PhysicsPolytechnic University of TurinTorinoItaly

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