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A Monte Carlo Investigation of Some Tests for Stochastic Dominance

Author

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  • Y.K. Tse
  • Xibin Zhang

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Abstract

This paper compares the performance of several tests for stochastic dominance up to order three using Monte Carlo methods. The tests considered are the Davidson and Duclos (2000) test, the Anderson test (1996) and the Kaur, Rao and Singh (1994) test. Only unpaired samples of independent observations are considered, as this is a restriction for both the Anderson and Kaur-Rao-Singh tests. We find that the Davidson-Duclos test appears to be the best. The Kaur-Rao-Singh test is overly conservative and does not compare favorably against the Davidson-Duclos and Anderson tests in terms of power.

Suggested Citation

  • Y.K. Tse & Xibin Zhang, 2003. "A Monte Carlo Investigation of Some Tests for Stochastic Dominance," Monash Econometrics and Business Statistics Working Papers 7/03, Monash University, Department of Econometrics and Business Statistics.
  • Handle: RePEc:msh:ebswps:2003-7
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    File URL: http://www.buseco.monash.edu.au/ebs/pubs/wpapers/2003/wp7-03.pdf
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    Cited by:

    1. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Whang, 2002. "Consistent Testing for Stochastic Dominance: A Subsampling Approach," STICERD - Econometrics Paper Series 433, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    2. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "Make Almost Stochastic Dominance really Almost," MPRA Paper 49745, University Library of Munich, Germany.
    3. Dominic Gasbarro & Wing-Keung Wong & J. Kenton Zumwalt, 2007. "Stochastic Dominance Analysis of iShares," The European Journal of Finance, Taylor & Francis Journals, vol. 13(1), pages 89-101.
    4. Wong, Wing-Keung & Phoon, Kok Fai & Lean, Hooi Hooi, 2008. "Stochastic dominance analysis of Asian hedge funds," Pacific-Basin Finance Journal, Elsevier, vol. 16(3), pages 204-223, June.
    5. Hooi Hooi Lean & Michael McAleer & Wing-Keung Wong, 2013. "Risk-averse and Risk-seeking Investor Preferences for Oil Spot and Futures," Documentos de Trabajo del ICAE 2013-31, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico, revised Aug 2013.
    6. David Maddison, 2005. "Are There Too Many Revivals on Broadway? A Stochastic Dominance Approach," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 29(4), pages 325-334, November.
    7. Daniel Sotelsek-Salem & Ismael Ahamdanech-Zarco & John Bishop, 2012. "Dominance testing for ‘pro-poor’ growth with an application to European growth," Empirical Economics, Springer, vol. 43(2), pages 723-739, October.
    8. Thomas C. Chiang & Hooi Hooi Lean & Wing-Keung Wong, 2008. "Do REITs Outperform Stocks and Fixed-Income Assets? New Evidence from Mean-Variance and Stochastic Dominance Approaches," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 1(1), pages 1-40, December.
    9. Marcus Asplund & Volker Nocke, 2003. "Firm Turnover in Imperfectly Competitive Markets," PIER Working Paper Archive 03-010, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    10. Lean, H.H. & McAleer, M.J. & Wong, W.-K., 2010. "Investor preferences for oil spot and futures based on mean-variance and stochastic dominance," Econometric Institute Research Papers EI 2010-37, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    11. Oliver Linton & Kyungchui (Kevin) Song & Yoon-Jae Whang, 2008. "Bootstrap tests of stochastic dominance with asymptotic similarity on the boundary," CeMMAP working papers CWP08/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    12. 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.
    13. Hooi Hooi Lean & Michael McAleer & Wing-Keung Wong, 2010. "Market Efficiency of Oil Spot and Futures: A Stochastic Dominance Approach," CIRJE F-Series CIRJE-F-705, CIRJE, Faculty of Economics, University of Tokyo.
    14. Lean, Hooi Hooi & Smyth, Russell & Wong, Wing-Keung, 2007. "Revisiting calendar anomalies in Asian stock markets using a stochastic dominance approach," Journal of Multinational Financial Management, Elsevier, vol. 17(2), pages 125-141, April.
    15. 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.
    16. Dahl, Bruce L. & Wilson, William W. & Nganje, William E., 2004. "Stochastic Dominance in Wheat Variety Development and Release Strategies," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 29(01), April.
    17. Michael D. Grubb, 2009. "Selling to Overconfident Consumers," American Economic Review, American Economic Association, vol. 99(5), pages 1770-1807, December.
    18. Mishra, Vinod & Smyth, Russell, 2010. "An examination of the impact of India's performance in one-day cricket internationals on the Indian stock market," Pacific-Basin Finance Journal, Elsevier, vol. 18(3), pages 319-334, June.
    19. Hooi Lean & Kok Phoon & Wing-Keung Wong, 2013. "Stochastic dominance analysis of CTA funds," Review of Quantitative Finance and Accounting, Springer, vol. 40(1), pages 155-170, January.
    20. Duangkamon Chotikapanich & William E. Griffiths, 2006. "Bayesian Assessment of Lorenz and Stochastic Dominance in Income Distributions," Department of Economics - Working Papers Series 960, The University of Melbourne.
    21. Hoang, Thi-Hong-Van & Lean, Hooi Hooi & Wong, Wing-Keung, 2015. "Is gold good for portfolio diversification? A stochastic dominance analysis of the Paris stock exchange," International Review of Financial Analysis, Elsevier, vol. 42(C), pages 98-108.

    More about this item

    Keywords

    Burr distribution; Income distribution; Monte Carlo method; Portfolio investment; Stochastic dominance; Union-intersection test;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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