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Testing for Bivariate Stochastic Dominance Using Inequality Restrictions

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Listed author(s):
  • Thanasis Stengos

    ()

    (Department of Economics, University of Guelph)

  • Brennan S. Thompson

    ()

    (Department of Economics, Ryerson University, Toronto)

Abstract

In this paper, we propose of a test of bivariate stochastic dominance using a generalized framework for testing inequality constraints. Unlike existing tests, this test has the advantage of utilizing the covariance structure of the estimates of the joint distribution functions. The performance of our proposed test is examined by way of a Monte Carlo experiment. We also consider an empirical example which utilizes household survey data on income and health status.

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File URL: http://www.rcfea.org/RePEc/pdf/wp32_11.pdf
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Paper provided by The Rimini Centre for Economic Analysis in its series Working Paper Series with number 32_11.

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Date of creation: Jul 2011
Handle: RePEc:rim:rimwps:32_11
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Keywords: Stochastic dominance; inequality restrictions; multidimensional welfare;

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Find related papers by JEL classification:
  • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
  • I3 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty

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  1. Horvath, Lajos & Kokoszka, Piotr & Zitikis, Ricardas, 2006. "Testing for stochastic dominance using the weighted McFadden-type statistic," Journal of Econometrics, Elsevier, vol. 133(1), pages 191-205, July.
  2. Kuan Xu & L. Osberg, 1998. "A distribution-free test for deprivation dominance," Econometric Reviews, Taylor & Francis Journals, vol. 17(4), pages 415-429.
  3. Russell Davidson & Jean-Yves Duclos, 2013. "Testing for Restricted Stochastic Dominance," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 84-125, January.
  4. Jean-Yves Duclos & David E. Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons," Economic Journal, Royal Economic Society, vol. 116(514), pages 943-968, October.
  5. Gordon Anderson, 2008. "The empirical assessment of multidimensional welfare, inequality and poverty: Sample weighted multivariate generalizations of the Kolmogorov–Smirnov two sample tests for stochastic dominance," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(1), pages 73-87, March.
  6. Esfandiar Maasoumi & Almas Heshmati, 2000. "Stochastic dominance amongst swedish income distributions," Econometric Reviews, Taylor & Francis Journals, vol. 19(3), pages 287-320.
  7. Valentino Dardanoni & Antonio Forcina, 1999. "Inference for Lorenz curve orderings," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 49-75.
  8. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
  9. Russell Davidson, 2009. "Testing for Restricted Stochastic Dominance: Some Further Results," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 1(1), pages 34-59, September.
  10. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-1193, September.
  11. Kodde, David A & Palm, Franz C, 1986. "Wald Criteria for Jointly Testing Equality and Inequality Restriction s," Econometrica, Econometric Society, vol. 54(5), pages 1243-1248, September.
  12. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Spatial Poverty Comparisons in Ghana, Madagascar, and Uganda," World Bank Economic Review, World Bank Group, vol. 20(1), pages 91-113.
  13. Brian McCaig & Adonis Yatchew, 2007. "International welfare comparisons and nonparametric testing of multivariate stochastic dominance," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(5), pages 951-969.
  14. Wolak, Frank A., 1989. "Local and Global Testing of Linear and Nonlinear Inequality Constraints in Nonlinear Econometric Models," Econometric Theory, Cambridge University Press, vol. 5(01), pages 1-35, April.
  15. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
  16. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons with Discrete Indicators of Well-being," Cahiers de recherche 0628, CIRPEE.
  17. John A. Bishop & John P. Formby & W. James Smith, 1993. "International Comparisons of Welfare and Poverty: Dominance Orderings for Ten Countries," Canadian Journal of Economics, Canadian Economics Association, vol. 26(3), pages 707-726, August.
  18. W Furlong & D Feeny & G Torrance & C Goldsmith & S DePauw & Z Zhu & M Denton & M Boyle, 1998. "Multiplicative Multi-Attribute Utility Function for the Health Utilities Index Mark 3 (HUI3) System: A Technical Report," Centre for Health Economics and Policy Analysis Working Paper Series 1998-11, Centre for Health Economics and Policy Analysis (CHEPA), McMaster University, Hamilton, Canada.
  19. Beach, Charles M & Richmond, James, 1985. "Joint Confidence Intervals for Income Shares and Lorenz Curves," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 439-450, June.
  20. Fisher, Gordon & Willson, Douglas & Xu, Kuan, 1998. "An empirical analysis of term premiums using significance tests for stochastic dominance," Economics Letters, Elsevier, vol. 60(2), pages 195-203, August.
  21. Kaur, Amarjot & Prakasa Rao, B.L.S. & Singh, Harshinder, 1994. "Testing for Second-Order Stochastic Dominance of Two Distributions," Econometric Theory, Cambridge University Press, vol. 10(05), pages 849-866, December.
  22. Wolak, Frank A., 1989. "Testing inequality constraints in linear econometric models," Journal of Econometrics, Elsevier, vol. 41(2), pages 205-235, June.
  23. Charles M. Beach & Russell Davidson, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," Review of Economic Studies, Oxford University Press, vol. 50(4), pages 723-735.
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Cited by:

  1. Mohamed Khaled & Paul Makdissi & Myra Yazbeck, 2016. "Income-Related Health Transfers Principles and Orderings of Joint Distributions of Income and Health," Discussion Papers Series 574, School of Economics, University of Queensland, Australia.

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