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Confidence sets for dynamic poverty indexes

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  • Guglielmo D'Amico
  • Riccardo De Blasis
  • Philippe Regnault

Abstract

In this study, we extend the research on the dynamic poverty indexes, namely the dynamic Headcount ratio, the dynamic income-gap ratio, the dynamic Gini and the dynamic Sen, proposed in D'Amico and Regnault (2018). The contribution is twofold. First, we extend the computation of the dynamic Gini index, thus the Sen index accordingly, with the inclusion of the inequality within each class of poverty where people are classified according to their income. Second, for each poverty index, we establish a central limit theorem that gives us the possibility to determine the confidence sets. An application to the Italian income data from 1998 to 2012 confirms the effectiveness of the considered approach and the possibility to determine the evolution of poverty and inequality in real economies.

Suggested Citation

  • Guglielmo D'Amico & Riccardo De Blasis & Philippe Regnault, 2020. "Confidence sets for dynamic poverty indexes," Papers 2006.06595, arXiv.org.
    • Handle: RePEc:arx:papers:2006.06595
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    1. Mary Jo Bane & David T. Ellwood, 1986. "Slipping into and out of Poverty: The Dynamics of Spells," Journal of Human Resources, University of Wisconsin Press, vol. 21(1), pages 1-23.
    2. Duncan, Greg J & Gustafsson, Bjorn & Hauser, Richard & Schmauss, Gunther & Messinger, Hans & Muffels, Ruud & Nolan, Brian, 1993. "Poverty Dynamics in Eight Countries," Journal of Population Economics, Springer;European Society for Population Economics, vol. 6(3), pages 215-234.
    3. Ewald, Christian-Oliver & Yor, Marc, 2015. "On increasing risk, inequality and poverty measures: Peacocks, lyrebirds and exotic options," Journal of Economic Dynamics and Control, Elsevier, vol. 59(C), pages 22-36.
    4. Li, Deli & Bhaskara Rao, M. & Tomkins, R. J., 2001. "The Law of the Iterated Logarithm and Central Limit Theorem for L-Statistics," Journal of Multivariate Analysis, Elsevier, vol. 78(2), pages 191-217, August.
    5. Giuliana Parodi & Dario Sciulli, 2008. "Disability in Italian households: income, poverty and labour market participation," Applied Economics, Taylor & Francis Journals, vol. 40(20), pages 2615-2630.
    6. Eun‐Young Park & Su‐Jung Nam, 2020. "Multidimensional poverty status of householders with disabilities in South Korea," International Journal of Social Welfare, John Wiley & Sons, vol. 29(1), pages 41-50, January.
    7. Addison, Tony & Hulme, David & Kanbur, Ravi (ed.), 2009. "Poverty Dynamics: Interdisciplinary Perspectives," OUP Catalogue, Oxford University Press, number 9780199557554.
    8. Lorenzo Cappellari & Stephen P. Jenkins, 2004. "Modelling low income transitions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(5), pages 593-610.
    9. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    10. D'Amico, Guglielmo & Di Biase, Giuseppe & Manca, Raimondo, 2014. "Decomposition Of The Population Dynamic Theil'S Entropy And Its Application To Four European Countries," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 55(2), pages 229-239, December.
    11. Richard Breen & Pasi Moisio, 2004. "Poverty dynamics corrected for measurement error," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(3), pages 171-191, July.
    12. John J. McCall, 1971. "A Markovian of Income Dynamics," UCLA Economics Working Papers 011, UCLA Department of Economics.
    13. Paola Annoni & Rainer Bruggemann & Lars Carlsen, 2015. "A multidimensional view on poverty in the European Union by partial order theory," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(3), pages 535-554, March.
    14. Formby, John P. & Smith, W. James & Zheng, Buhong, 2004. "Mobility measurement, transition matrices and statistical inference," Journal of Econometrics, Elsevier, vol. 120(1), pages 181-205, May.
    15. Donald Hirsch & Matt Padley & Juliet Stone & Laura Valadez-Martinez, 2020. "The Low Income Gap: A New Indicator Based on a Minimum Income Standard," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(1), pages 67-85, May.
    16. Takayama, Noriyuki, 1979. "Poverty, Income Inequality, and Their Measures: Professor Sen's Axiomatic Approach Reconsidered," Econometrica, Econometric Society, vol. 47(3), pages 747-759, May.
    17. Guglielmo D’Amico & Philippe Regnault, 2018. "Dynamic Measurement of Poverty: Modeling and Estimation," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 80(2), pages 305-340, November.
    18. Nayoung Lee & Geert Ridder & John Strauss, 2017. "Estimation of Poverty Transition Matrices with Noisy Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(1), pages 37-55, January.
    19. Shorrocks, Anthony F, 1995. "Revisiting the Sen Poverty Index," Econometrica, Econometric Society, vol. 63(5), pages 1225-1230, September.
    20. Mogens Bladt & Michael Sørensen, 2005. "Statistical inference for discretely observed Markov jump processes," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(3), pages 395-410, June.
    21. D'Amico, Guglielmo & Di Biase, Giuseppe & Manca, Raimondo, 2012. "Income inequality dynamic measurement of Markov models: Application to some European countries," Economic Modelling, Elsevier, vol. 29(5), pages 1598-1602.
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