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Nonparametric tests of stochastic dominance in bivariate distributions, with an application to UK data

Author

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  • Ian Crawford

    (Institute for Fiscal Studies and Nuffield College, Oxford)

Abstract

This paper make straightforward extensions to Anderson's (1996) nonparametric statistical tests of stochastic dominance criteria to bivariate distributions. These test are applied to a time series of cross-section datasets on household level total expenditure and non labour market time in the UK.

Suggested Citation

  • Ian Crawford, 1999. "Nonparametric tests of stochastic dominance in bivariate distributions, with an application to UK data," IFS Working Papers W99/28, Institute for Fiscal Studies.
    • Handle: RePEc:ifs:ifsewp:99/28
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    File URL: http://www.ifs.org.uk
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    References listed on IDEAS

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    1. Neary, J. P. & Roberts, K. W. S., 1980. "The theory of household behaviour under rationing," European Economic Review, Elsevier, vol. 13(1), pages 25-42, January.
    2. Levy, Haim & Paroush, Jacob, 1974. "Toward multivariate efficiency criteria," Journal of Economic Theory, Elsevier, vol. 7(2), pages 129-142, February.
    3. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    4. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 183-201.
    5. E. Rothbarth, 1941. "The Measurement of Changes in Real Income under Conditions of Rationing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 8(2), pages 100-107.
    6. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-1193, September.
    7. Ulph, David, 1978. "On labour supply and the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 19(2), pages 492-512, December.
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    Citations

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    Cited by:

    1. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Wang, 2002. "Consistent testing for stochastic dominance: a subsampling approach," CeMMAP working papers 03/02, Institute for Fiscal Studies.
    2. Koen Decancq & Maria Ana Lugo, 2008. "Setting Weights in Multidimensional Indices of Well-Being," OPHI Working Papers 18, Queen Elizabeth House, University of Oxford.
    3. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Spatial Poverty Comparisons in Ghana, Madagascar, and Uganda," The World Bank Economic Review, World Bank, vol. 20(1), pages 91-113.
    4. Duclos, Jean-Yves & Sahn, David & Younger, Stephen D., 2003. "Polarization: Robust Multidimensional Poverty Comparisons," Cahiers de recherche 0304, CIRPEE.
    5. David Sahn & Stephen Younger, 2005. "Improvements in children’s health: Does inequality matter?," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 3(2), pages 125-143, August.
    6. Maasoumi, Esfandiar & Almas Heshmati, 2003. "Evaluating Dominance Ranking of PSID Incomes by various Household Attributes," Departmental Working Papers 0509, Southern Methodist University, Department of Economics.
    7. K. -Y. Ho, 2003. "Long-run stock price performance after IPOs: what do tests for stochastic dominance tell us?," Applied Economics Letters, Taylor & Francis Journals, vol. 10(1), pages 15-19.
    8. 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.
    9. Almas Heshmati & Robert Rudolf, 2014. "Income versus Consumption Inequality in Korea: Evaluating Stochastic Dominance Rankings by Various Household Attributes," Asian Economic Journal, East Asian Economic Association, vol. 28(4), pages 413-436, December.

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    More about this item

    Keywords

    Social welfare; stochastic dominance; nonparametric statistical;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D30 - Microeconomics - - Distribution - - - General

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