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Testing for the stochastic dominance efficiency of a given portfolio

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  • Oliver Linton
  • Yoon-Jae Whang

Abstract

We propose a new statistical test of the stochastic dominance efficiency of a given portfolio over a class of portfolios. We establish its null and alternative asymptotic properties, and define a method for consistently estimating critical values. We present some numerical evidence that our tests work well in moderate sized samples.

Suggested Citation

  • Oliver Linton & Yoon-Jae Whang, 2012. "Testing for the stochastic dominance efficiency of a given portfolio," CeMMAP working papers 27/12, Institute for Fiscal Studies.
  • Handle: RePEc:azt:cemmap:27/12
    DOI: 10.1920/wp.cem.2012.2712
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    References listed on IDEAS

    as
    1. Thierry Post, 2003. "Empirical Tests for Stochastic Dominance Efficiency," Journal of Finance, American Finance Association, vol. 58(5), pages 1905-1931, October.
    2. Post, Thierry & Versijp, Philippe, 2007. "Multivariate Tests for Stochastic Dominance Efficiency of a Given Portfolio," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 42(2), pages 489-515, June.
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    4. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Whang, 2005. "Consistent Testing for Stochastic Dominance under General Sampling Schemes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 735-765.
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    10. Price, Kelly & Price, Barbara & Nantell, Timothy J, 1982. "Variance and Lower Partial Moment Measures of Systematic Risk: Some Analytical and Empirical Results," Journal of Finance, American Finance Association, vol. 37(3), pages 843-855, June.
    11. Post, G.T., 2005. "Wanted: A Test for FSD Optimality of a Given Portfolio," ERIM Report Series Research in Management ERS-2005-034-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
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