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Distribution of Personal Income: Development of a New Model and Its Application to U.S. Income Data

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  • Majumder, Amita
  • Chakravarty, Satya Ranjan

Abstract

This paper proposes a four-parameter statistical model of the personalized distribution of income using the "income share elasticity" approach suggested by Esteban (1986). Our proposed model includes the Singh-Maddala (1976) and Dagum (1977) distributions as special cases. The generalized beta II distribution of McDonald (1984) is also a variant of this model. It appears to give an excellent fit to U.S. income data and its empirical performance turns out to be superior to those of the Singh-Maddala (1953) distributions and the generalized beta II distribution of McDonald (1984) on some data. Copyright 1990 by John Wiley & Sons, Ltd.

Suggested Citation

  • Majumder, Amita & Chakravarty, Satya Ranjan, 1990. "Distribution of Personal Income: Development of a New Model and Its Application to U.S. Income Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(2), pages 189-196, April-Jun.
  • Handle: RePEc:jae:japmet:v:5:y:1990:i:2:p:189-96
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    Cited by:

    1. Corrado Benassi & Marcella Scrimitore, 2017. "Income Distribution in Network Markets," Journal of Industry, Competition and Trade, Springer, vol. 17(3), pages 251-271, September.
    2. Kleiber, Christian, 2007. "A Guide to the Dagum Distributions," Working papers 2007/23, Faculty of Business and Economics - University of Basel.
    3. John Dagsvik & Zhiyang Jia & Bjørn Vatne & Weizhen Zhu, 2013. "Is the Pareto–Lévy law a good representation of income distributions?," Empirical Economics, Springer, vol. 44(2), pages 719-737, April.
    4. Dorothée Boccanfuso & Bernard Decaluwé & Luc Savard, 2003. "Poverty, Income Distribution and CGE Modeling: Does the Functional Form of Distribution Matter?," Cahiers de recherche 0332, CIRPEE.
    5. Mittelhammer, Ronald C. & Shi, Hongqi & Wahl, Thomas I., 1996. "Accounting For Aggregation Bias In Almost Ideal Demand Systems," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 21(02), December.
    6. Dong, Diansheng & Capps, Oral, Jr., 1998. "Impacts Of Income Distribution On Market Demand," 1998 Annual meeting, August 2-5, Salt Lake City, UT 20996, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    7. Benassi, Corrado & Castellani, Massimiliano & Mussoni, Maurizio, 2016. "Price equilibrium and willingness to pay in a vertically differentiated mixed duopoly," Journal of Economic Behavior & Organization, Elsevier, vol. 125(C), pages 86-96.
    8. Makowsky, Michael D., 2011. "Religion, clubs, and emergent social divides," Journal of Economic Behavior & Organization, Elsevier, vol. 80(1), pages 74-87.
    9. Jayasri Dutta & J. A. Sefton & M. R. WEALE, 2001. "Income distribution and income dynamics in the United Kingdom," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(5), pages 599-617.
    10. Fabio Clementi & Mauro Gallegati & Giorgio Kaniadakis, 2010. "A model of personal income distribution with application to Italian data," Empirical Economics, Springer, vol. 39(2), pages 559-591, October.
    11. Feng Zhu, 2005. "A nonparametric analysis of the shape dynamics of the US personal income distribution: 1962-2000," BIS Working Papers 184, Bank for International Settlements.
    12. van den Berg, Gerard J., 2007. "On the uniqueness of optimal prices set by monopolistic sellers," Journal of Econometrics, Elsevier, vol. 141(2), pages 482-491, December.
    13. Malcolm Asadoorian, 2008. "Simulating the spatial distribution of population and emissions to 2100," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 39(3), pages 199-221, March.
    14. Makowsky, Michael, 2009. "Religious Extremism, Clubs, and Civil Liberties: A Model of Religious Populations," MPRA Paper 14358, University Library of Munich, Germany.
    15. Kleiber, Christian, 1996. "Dagum vs. Singh-Maddala income distributions," Economics Letters, Elsevier, vol. 53(3), pages 265-268, December.
    16. Toda, Alexis Akira, 2012. "The double power law in income distribution: Explanations and evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 84(1), pages 364-381.
    17. Kazuhiko Kakamu, 2016. "Simulation Studies Comparing Dagum and Singh–Maddala Income Distributions," Computational Economics, Springer;Society for Computational Economics, vol. 48(4), pages 593-605, December.
    18. van den Berg, Gerard J, 1994. "The Effects of Changes of the Job Offer Arrival Rate on the Duration of Unemployment," Journal of Labor Economics, University of Chicago Press, vol. 12(3), pages 478-498, July.
    19. Christophe Muller, 2001. "The Properties of the Watts Poverty Index under Lognormality," Economics Bulletin, AccessEcon, vol. 9(1), pages 1-9.
    20. Gustavo De Santis & Giambattista Salinari, 2008. "On the Evolution of Household Income," LIS Working papers 488, LIS Cross-National Data Center in Luxembourg.
    21. Fernholz, Robert, 1999. "On the diversity of equity markets," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 393-417, April.
    22. Corrado Benassi & Alessandra Chirco, 2006. "Income Share Elasticity and Stochastic Dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(3), pages 511-525, June.
    23. Gan, Quan & Hill, Robert J., 2009. "Measuring housing affordability: Looking beyond the median," Journal of Housing Economics, Elsevier, vol. 18(2), pages 115-125, June.

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