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A nonparametric test of stochastic dominance in multivariate distributions

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Author Info
Ian Crawford (University of Surrey and cemmap, Institute for Fiscal Studies)

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Abstract

The literature on statistical test of stochastic dominance has thus far been concerned with univariate distributions. This paper presents nonparametric statistical tests for multivariate distributions. This allows a nonparametric treatment of multiple welfare indicators. 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. This contrasts the welfare inferences which might be drawn from looking at univariate (marginal) distributions with those which consider the joint distribution.

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File URL: http://www.econ.surrey.ac.uk/discussion_papers/2005/DP12-05.pdf
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Publisher Info
Paper provided by Department of Economics, University of Surrey in its series Department of Economics Discussion Papers with number 1205.

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Length: 39 pages
Date of creation: Jun 2005
Date of revision:
Handle: RePEc:sur:surrec:1205

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Related research
Keywords: Social welfare; stochastic dominance; nonparametric statistical methods;

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Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
D30 - Microeconomics - - Distribution - - - General

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January. [Downloadable!] (restricted)
  2. Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Blackwell Publishing, vol. 49(2), pages 183-201, April. [Downloadable!] (restricted)
  3. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-93, September. [Downloadable!] (restricted)
  4. Ulph, David, 1978. "On labour supply and the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 19(2), pages 492-512, December. [Downloadable!] (restricted)
  5. Levy, Haim & Paroush, Jacob, 1974. "Toward multivariate efficiency criteria," Journal of Economic Theory, Elsevier, vol. 7(2), pages 129-142, February. [Downloadable!] (restricted)
  6. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309. [Downloadable!] (restricted)
  7. 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.
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  8. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Nicolas Gravel & Abhiroop Mukhopadhyays, 2007. "Is India Better off Today than 15 Years ago? A Robust Multidimensional Answer," IDEP Working Papers 0704, Institut d'economie publique (IDEP), Marseille, France, revised 18 May 2007. [Downloadable!]
    Other versions:
  2. Christoffer Sonne-Schmidt & Finn Tarp & Lars Peter Østerdal, 2008. "Ordinal Comparison of Multidimensional Deprivation: theory and application," Discussion Papers 08-33, University of Copenhagen. Department of Economics. [Downloadable!]
  3. Nicolas Gravel & Patrick Moyes, 2006. "Ethically Robust Comparisons of Distributions of Two Individual Attributes," IDEP Working Papers 0605, Institut d'economie publique (IDEP), Marseille, France, revised Aug 2006. [Downloadable!]
  4. 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. [Downloadable!]
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