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A proposal of poverty measures based on the Bonferroni inequality index

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  • Giovanni Maria Giorgi

    (Department of Statistics & Probability, University of Rome 'La Sapienza')

  • Michele Crescenzi

    (Department of Statistics & Probability, University of Rome 'La Sapienza')

Abstract

No abstract is available for this item.

Suggested Citation

  • Giovanni Maria Giorgi & Michele Crescenzi, 2005. "A proposal of poverty measures based on the Bonferroni inequality index," Econometrics 0507010, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpem:0507010
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    References listed on IDEAS

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    1. Cowell, Frank & Mercader-Prats, Magda, 1999. "Equivalence scales and inequality," LSE Research Online Documents on Economics 2190, London School of Economics and Political Science, LSE Library.
    2. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975.
    3. Dagum, Camilo, 1980. "Inequality Measures between Income Distributions with Applications," Econometrica, Econometric Society, vol. 48(7), pages 1791-1803, November.
    4. Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 639-653.
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    Cited by:

    1. I. Josa & A. Aguado, 2020. "Measuring Unidimensional Inequality: Practical Framework for the Choice of an Appropriate Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(2), pages 541-570, June.
    2. Satya Chakravarty, 2007. "A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 339-351, December.
    3. Rolf Aaberge & Steinar Bjerve & Kjell Doksum, 2005. "Decomposition of rank-dependent measures of inequality by subgroups," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 493-503.
    4. Yang Wei & Zhouping Li & Yunqiu Dai, 2022. "Unified smoothed jackknife empirical likelihood tests for comparing income inequality indices," Statistical Papers, Springer, vol. 63(5), pages 1415-1475, October.
    5. Satya R. Chakravarty & Pietro Muliere, 2003. "Welfare indicators: A review and new perspectives. 1. Measurement of inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 457-497.
    6. Satya R. Chakravarty & Palash Sarkar, 2023. "New perspectives on the Gini and Bonferroni indices of inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 47-64, January.
    7. Iddo Eliazar & Giovanni M. Giorgi, 2020. "From Gini to Bonferroni to Tsallis: an inequality-indices trek," METRON, Springer;Sapienza Università di Roma, vol. 78(2), pages 119-153, August.
    8. Giovanni M. Giorgi & Alessio Guandalini, 2018. "Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality," Econometrics, MDPI, vol. 6(2), pages 1-16, April.
    9. Elena Bárcena-Martin & Jacques Silber, 2013. "On the generalization and decomposition of the Bonferroni index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 763-787, October.
    10. Mariateresa Ciommi & Chiara Gigliarano & Giovanni Maria Giorgi, 2019. "Bonferroni And De Vergottini Are Back: New Subgroup Decompositions And Bipolarization Measures," Working Papers 439, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    11. Walter Piesch, 2005. "A look at the structure of some extended Ginis," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 263-296.
    12. Walter Piesch, 2005. "Bonferroni-Index und De Vergottini-Index. Zum 75. und 65. Geburtstag zweier fast vergessener Ungleichheitsmaße," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 259/2005, Department of Economics, University of Hohenheim, Germany.
    13. Satya R. Chakravarty & Pietro Muliere, 2004. "Welfare indicators: a review and new perspectives. 2. Measurement of poverty," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 247-281.
    14. G. M. Giorgi & M. Crescenzi, 2001. "Bayesian estimation of the Bonferroni index from a Pareto-type I population," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 10(1), pages 41-48, January.
    15. Sreelakshmi N. & Asha G. & Muraleedharan Nair K. R., 2015. "On Inferring Income Inequality Measures Using L-moments," Stochastics and Quality Control, De Gruyter, vol. 30(2), pages 75-87, December.
    16. Satya R. Chakravarty & Palash Sarkar, 2021. "An inequality paradox: relative versus absolute indices?," METRON, Springer;Sapienza Università di Roma, vol. 79(2), pages 241-254, August.
    17. Paolo Giordani & Giovanni Giorgi, 2010. "A fuzzy logic approach to poverty analysis based on the Gini and Bonferroni inequality indices," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 19(4), pages 587-607, November.
    18. Mauro Mussini, 2014. "Decomposing inequality change from the perspective of reranking and income growth between income groups," Empirical Economics, Springer, vol. 47(2), pages 619-637, September.
    19. Elena Bárcena-Martin & Jacques Silber, 2017. "The Bonferroni index and the measurement of distributional change," METRON, Springer;Sapienza Università di Roma, vol. 75(1), pages 1-16, April.

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    More about this item

    Keywords

    Bonferroni inequality index; Gini concentration ratio; Sen and Dagum poverty measures; Pigou-Dalton transfer principle;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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