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A Guide to the Dagum Distributions

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  • Kleiber, Christian

    (University of Basel)

Abstract

In a series of papers in the 1970s, Camilo Dagum proposed several variants of NEWLINE a new model for the size distribution of personal income. This Chapter traces the NEWLINE genesis of the Dagum distributions in applied economics and points out parallel NEWLINE developments in several branches of the applied statistics literature. It also provides NEWLINE interrelations with other statistical distributions as well as aspects that are of special NEWLINE interest in the income distribution feld, including Lorenz curves and the Lorenz order NEWLINE and inequality measures. The Chapter ends with a survey of empirical applications NEWLINE of the Dagum distributions, many published in Romance language periodicals.

Suggested Citation

  • Kleiber, Christian, 2007. "A Guide to the Dagum Distributions," Working papers 2007/23, Faculty of Business and Economics - University of Basel.
    • Handle: RePEc:bsl:wpaper:2007/23
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    1. Kleiber, Christian, 2005. "The Lorenz curve in economics and econometrics," Technical Reports 2005,30, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    2. 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.
    3. Stephen P. Jenkins, 2007. "Inequality and the GB2 income distribution," Working Papers 73, ECINEQ, Society for the Study of Economic Inequality.
    4. Paola Palmitesta & Corrado Provasi & Cosimo Spera, 2000. "Confidence Interval Estimation for Inequality Indices of the Gini Family," Computational Economics, Springer;Society for Computational Economics, vol. 16(1/2), pages 137-147, October.
    5. Gerhard Glomm & B. Ravikumar, 1998. "Opting out of publicly provided services: A majority voting result," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 187-199.
    6. McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 69(2), pages 427-428, October.
    7. Cowell, Frank A. & Victoria-Feser, Maria-Pia, 2006. "Distributional Dominance With Trimmed Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 291-300, July.
    8. Czeslaw Domański & Alina Jedrzejczak, 2002. "Income inequality analysis in the period of economic transformation in poland," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 8(3), pages 215-220, August.
    9. McDonald, James B & Mantrala, Anand, 1995. "The Distribution of Personal Income: Revisited," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 201-204, April-Jun.
    10. Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-970, September.
    11. Palmitesta, Paola & Provasi, Corrado & Spera, Cosimo, 1999. "Approximated Distributions of Sampling Inequality Indices," Computational Economics, Springer;Society for Computational Economics, vol. 13(3), pages 211-226, June.
    12. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    13. Martin Biewen & Stephen Jenkins, 2005. "A framework for the decomposition of poverty differences with an application to poverty differences between countries," Empirical Economics, Springer, vol. 30(2), pages 331-358, September.
    14. Claudio Quintano & Antonella D'Agostino, 2006. "Studying Inequality In Income Distribution Of Single‐Person Households In Four Developed Countries," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 52(4), pages 525-546, December.
    15. James B. McDonald, 2008. "Some Generalized Functions for the Size Distribution of Income," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 3, pages 37-55, Springer.
    16. Łukasiewicz, Piotr & Orłowski, Arkadiusz, 2004. "Probabilistic models of income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 146-151.
    17. Hasegawa, Hikaru & Kozumi, Hideo, 2003. "Estimation of Lorenz curves: a Bayesian nonparametric approach," Journal of Econometrics, Elsevier, vol. 115(2), pages 277-291, August.
    18. Fred Campano, 1991. "Recent Trends in U.S. Family Income Distribution: A Comparison of All, White, and Black Families," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 13(3), pages 337-350, March.
    19. Kleiber, Christian, 1996. "Dagum vs. Singh-Maddala income distributions," Economics Letters, Elsevier, vol. 53(3), pages 265-268, December.
    20. Stephen P. Jenkins, 1999. "Fitting Singh-Maddala and Dagum distributions by maximum likelihood," Stata Technical Bulletin, StataCorp LP, vol. 8(48).
    21. Dagum, Camilo & Slottje, Daniel J., 2000. "A new method to estimate the level and distribution of household human capital with application," Structural Change and Economic Dynamics, Elsevier, vol. 11(1-2), pages 67-94, July.
    22. Klonner, Stefan, 2000. "The first-order stochastic dominance ordering of the Singh-Maddala distribution," Economics Letters, Elsevier, vol. 69(2), pages 123-128, November.
    23. Duangkamon Chotikapanich & William E. Griffiths, 2006. "Bayesian Assessment of Lorenz and Stochastic Dominance in Income Distributions," Department of Economics - Working Papers Series 960, The University of Melbourne.
    24. Rubin Saposnik, 1981. "Rank-dominance in income distributions," Public Choice, Springer, vol. 36(1), pages 147-151, January.
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