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Inference Tests for Gini-Based Tax Progressivity Indexes

Author

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  • Bishop, John A
  • Formby, John P
  • Zheng, Buhong

Abstract

Distribution-free statistical inference procedures for changes in Lorenz- and Gini-based indexes of tax progressivity are developed and applied. Related but distinct tests for the Reynolds-Smolensky index of residual progression and the Kakwani index of liability progression are provided. The inference procedures are illustrated by applying them to Luxembourg Income Study microdata for Sweden, the United Kingdom, and the United States before and after periods of tax reform. In each country, a finding of significant change depends on the choice among progressivity indexes. No single index exhibits a consistent pattern of significant change in all countries across time.

Suggested Citation

  • Bishop, John A & Formby, John P & Zheng, Buhong, 1998. "Inference Tests for Gini-Based Tax Progressivity Indexes," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 322-330, July.
  • Handle: RePEc:bes:jnlbes:v:16:y:1998:i:3:p:322-30
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    Cited by:

    1. Miyazaki, Takeshi & Kitamura, Yukinobu, 2014. "Redistributive Effects of Income Tax Rates and Tax Base 1984-2009: Evidence from Japanese Tax Reforms," Discussion Paper Series 610, Institute of Economic Research, Hitotsubashi University.
    2. Yingying Deng & Monica Prasad, 2009. "Taxation and the Worlds of Welfare," LIS Working papers 480, LIS Cross-National Data Center in Luxembourg.
    3. Zheng, Buhong & J. Cushing, Brian, 2001. "Statistical inference for testing inequality indices with dependent samples," Journal of Econometrics, Elsevier, vol. 101(2), pages 315-335, April.
    4. André DECOSTER & Guy VAN CAMP, 2000. "Redistributive Effects of the Shift from Personal Income Taxes to Indirect Taxes: Belgium 1988-1993," Working Papers of Department of Economics, Leuven ces0007, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    5. Yoonseok Lee & Donggyun Shin, 2013. "Measuring Social Unrest Based on Income Distribution," Center for Policy Research Working Papers 160, Center for Policy Research, Maxwell School, Syracuse University.
    6. Kuan Xu, 2007. "U-Statistics and Their Asymptotic Results for Some Inequality and Poverty Measures," Econometric Reviews, Taylor & Francis Journals, vol. 26(5), pages 567-577.
    7. Ingvild Almås, 2008. "Equalizing Income Versus Equalizing Opportunity: A Comparison of the United States and Germany," LIS Working papers 476, LIS Cross-National Data Center in Luxembourg.
    8. Klavus, Jan, 2001. "Statistical inference of progressivity dominance: an application to health care financing distributions," Journal of Health Economics, Elsevier, vol. 20(3), pages 363-377, May.
    9. André Decoster & Isabelle Standaert & Christian Valenduc & Guy Van Camp, 2002. "What makes personal income taxes progressive? The case of Belgium," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 45(3), pages 91-112.
    10. Jordi Arcarons & Samuel Calonge, 2015. "Inference tests for tax progressivity and income redistribution: the Suits approach," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(2), pages 207-223, June.
    11. Wenli Li & Pierre-Daniel G. Sarte, 2001. "Growth Effects of Progressive Taxation," Finance and Economics Discussion Series 2002-03, Board of Governors of the Federal Reserve System (US).
    12. Miyazaki, Takeshi & Kitamura, Yukinobu & Ohno, Taro, 2016. "Tax Reforms, Redistribution and Population Aging : Evidence from Japan," Discussion Paper Series 645, Institute of Economic Research, Hitotsubashi University.
    13. Cisse, Boubou & Luchini, Stephane & Moatti, Jean Paul, 2007. "Progressivity and horizontal equity in health care finance and delivery: What about Africa?," Health Policy, Elsevier, vol. 80(1), pages 51-68, January.
    14. Raquel Andres & Samuel Calonge, 2005. "Inference on Income Inequality and Tax Progressivity Indices: U-Statistics and Bootstrap Methods," Working Papers 09, ECINEQ, Society for the Study of Economic Inequality.
    15. repec:bpj:bejeap:v:18:y:2018:i:4:p:17:n:8 is not listed on IDEAS
    16. Zhang Qi & Zheng Buhong & Zhang Ning & Wang Youfa, 2011. "Decomposing the Intergenerational Disparity in Income and Obesity," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(3), pages 1-18, September.
    17. Juan Gabriel Rodríguez, 2007. "Partial and complete equality-of-opportunity orderings," Working Papers 70, ECINEQ, Society for the Study of Economic Inequality.

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