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Testing for Mobility Dominance

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  • Yélé Maweki Batana
  • Jean-Yves Duclos

Abstract

This paper proposes tests for stochastic dominance in mobility based on the empirical likelihood ratio. Two views of mobility are considered, either based on measures of absolute mobility or on transition matrices. First-order and second-order dominance conditions in mobility are first derived, followed by the derivation of statistical inferences techniques to test a null hypothesis of non dominance against an alternative of mobility dominance. An empirical analysis, based on the US Panel Study of Income Dynamics (PSID), is performed by comparing four income mobility periods ranging from 1970 to 1990.

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Bibliographic Info

Paper provided by CIRPEE in its series Cahiers de recherche with number 1002.

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Date of creation: 2010
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Handle: RePEc:lvl:lacicr:1002

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Keywords: Mobility; Stochastic dominance; Transition matrices; Empirical Likelihood ratio; Bootstrap tests;

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  1. Esfandiar Maasoumi & Mark Trede, 2001. "Comparing Income Mobility In Germany And The United States Using Generalized Entropy Mobility Measures," The Review of Economics and Statistics, MIT Press, vol. 83(3), pages 551-559, August.
  2. Russell Davidson & Jean-Yves Duclos, 2013. "Testing for Restricted Stochastic Dominance," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 84-125, January.
  3. Willig, Robert D, 1981. "Social Welfare Dominance," American Economic Review, American Economic Association, vol. 71(2), pages 200-204, May.
  4. Peters, H Elizabeth, 1992. "Patterns of Intergenerational Mobility in Income and Earnings," The Review of Economics and Statistics, MIT Press, vol. 74(3), pages 456-66, August.
  5. Tapan Mitra & Efe A. Ok, 1998. "The measurement of income mobility: A partial ordering approach," Economic Theory, Springer, vol. 12(1), pages 77-102.
  6. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-24, September.
  7. 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.
  8. Conlisk, John, 1989. "Ranking mobility matrices," Economics Letters, Elsevier, vol. 29(3), pages 231-235.
  9. Fields, Gary S. & Leary, Jesse B. & Ok, Efe A., 2002. "Stochastic dominance in mobility analysis," Economics Letters, Elsevier, vol. 75(3), pages 333-339, May.
  10. R. Bénabou & E. Ok, . "Mobility as Progressivity: Ranking Income Processes According to Equality of Opportunity," Princeton Economic Theory Papers 00f1, Economics Department, Princeton University.
  11. Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 183-201, April.
  12. Markandya, Anil, 1984. "The Welfare Measurement of Changes in Economic Mobility," Economica, London School of Economics and Political Science, vol. 51(204), pages 457-71, November.
  13. Yélé Maweki Batana & Jean-Yves Duclos, 2008. "Multidimensional Poverty Dominance: Statistical Inference and an Application to West Africa," Cahiers de recherche 0808, CIRPEE.
  14. Maasoumi, Esfandiar & Zandvakili, Sourushe, 1986. "A class of generalized measures of mobility with applications," Economics Letters, Elsevier, vol. 22(1), pages 97-102.
  15. Laura Chadwick & Gary Solon, 2002. "Intergenerational Income Mobility Among Daughters," American Economic Review, American Economic Association, vol. 92(1), pages 335-344, March.
  16. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
  17. Bjorklund, Anders & Jantti, Markus, 1997. "Intergenerational Income Mobility in Sweden Compared to the United States," American Economic Review, American Economic Association, vol. 87(5), pages 1009-18, December.
  18. Fields, Gary S. & Ok, Efe A., 1996. "The Meaning and Measurement of Income Mobility," Journal of Economic Theory, Elsevier, vol. 71(2), pages 349-377, November.
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