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Inequality factor decompotition under uniform additions property with applications to Cameroonian rural data

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  • Chameni Nembua, Célestin

Abstract

This paper proposes new factors decomposition methods for classical inequality indices such as Gini index, variance and squared coefficient of variations index. The approach consists in relaxing the normalization property in order to extend the natural decomposition to a decomposition rule which satisfies the uniform additions property. The regression-based method using the new formulations of components contributions is carried out. Empirical examples, using Cameroonian data, are provided to demonstrate the use of the procedure and to contrast our results to those based on Morduch and Sicular (2002) principle, especially in the case of the Gini index.

Suggested Citation

  • Chameni Nembua, Célestin, 2009. "Inequality factor decompotition under uniform additions property with applications to Cameroonian rural data," MPRA Paper 31250, University Library of Munich, Germany, revised 2009.
    • Handle: RePEc:pra:mprapa:31250
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    References listed on IDEAS

    as
    1. Shorrocks, A F, 1982. "Inequality Decomposition by Factor Components," Econometrica, Econometric Society, vol. 50(1), pages 193-211, January.
    2. Frank A Cowell & Carlo V. Fiorio, 2006. "Rethinking Inequality Decomposition:Comment," STICERD - Distributional Analysis Research Programme Papers 82, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    3. Lerman, Robert I & Yitzhaki, Shlomo, 1985. "Income Inequality Effects by Income," The Review of Economics and Statistics, MIT Press, vol. 67(1), pages 151-156, February.
    4. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    5. Graham Pyatt & Chau-nan Chen & John Fei, 1980. "The Distribution of Income by Factor Components," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 451-473.
    6. Jonathan Morduch & Terry Sicular, 2002. "Rethinking Inequality Decomposition, With Evidence from Rural China," Economic Journal, Royal Economic Society, vol. 112(476), pages 93-106, January.
    7. Francois Bourguignon, 2004. "The Poverty-growth-inequality triangle," Indian Council for Research on International Economic Relations, New Delhi Working Papers 125, Indian Council for Research on International Economic Relations, New Delhi, India.
    8. Guanghua Wan, 2002. "Regression-based Inequality Decomposition: Pitfalls and a Solution Procedure," WIDER Working Paper Series DP2002-101, World Institute for Development Economic Research (UNU-WIDER).
    9. Gary S. Fields, 1979. "Income Inequality In Urban Colombia: A Decomposition Analysis," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 25(3), pages 327-341, September.
    10. Cowell, Frank A., 1980. "Generalized entropy and the measurement of distributional change," European Economic Review, Elsevier, vol. 13(1), pages 147-159, January.
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    More about this item

    Keywords

    Inequality factors decomposition; uniform additions property; regression-based. decomposition; Cameroon.;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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