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The sizes and powers of some stochastic dominance tests: A Monte Carlo study for correlated and heteroskedastic distributions

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  • Lean, Hooi-Hooi
  • Wong, Wing-Keung
  • Zhang, Xibin

Abstract

Testing for stochastic dominance among distributions is an important issue in the study of asset management, income inequality, and market efficiency. This paper conducts Monte Carlo simulations to examine the sizes and powers of several commonly used stochastic dominance tests when the underlying distributions are correlated or heteroskedastic. Our Monte Carlo study shows that the test developed by Davidson and Duclos [R. Davidson, J.Y. Duclos, Statistical inference for stochastic dominance and for the measurement of poverty and inequality, Econometrica 68 (6) (2000) 1435–1464] has better size and power performances than two alternative tests developed by Kaur et al. [A. Kaur, B.L.S.P. Rao, H. Singh, Testing for second order stochastic dominance of two distributions, Econ. Theory 10 (1994) 849–866] and Anderson [G. Anderson, Nonparametric tests of stochastic dominance in income distributions, Econometrica 64 (1996) 1183–1193]. In addition, we find that when the underlying distributions are heteroskedastic, both the size and power of the test developed by Davidson and Duclos [R. Davidson, J.Y. Duclos, Statistical inference for stochastic dominance and for the measurement of poverty and inequality, Econometrica 68 (6) (2000) 1435–1464] are superior to those of the two alternative tests.

Suggested Citation

  • Lean, Hooi-Hooi & Wong, Wing-Keung & Zhang, Xibin, 2008. "The sizes and powers of some stochastic dominance tests: A Monte Carlo study for correlated and heteroskedastic distributions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(1), pages 30-48.
  • Handle: RePEc:eee:matcom:v:79:y:2008:i:1:p:30-48
    DOI: 10.1016/j.matcom.2007.09.002
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    References listed on IDEAS

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    Cited by:

    1. Hoang, Thi-Hong-Van & Wong, Wing-Keung & Zhu, Zhenzhen, 2015. "Is gold different for risk-averse and risk-seeking investors? An empirical analysis of the Shanghai Gold Exchange," Economic Modelling, Elsevier, vol. 50(C), pages 200-211.
    2. Lam, Kin & Lean, Hooi Hooi & Wong, Wing-Keung, 2016. "Stochastic Dominance and Investors’ Behavior towards Risk: The Hong Kong Stocks and Futures Markets," MPRA Paper 74386, University Library of Munich, Germany.
    3. Zhuo Qiao & Wing-Keung Wong, 2015. "Which is a better investment choice in the Hong Kong residential property market: a big or small property?," Applied Economics, Taylor & Francis Journals, vol. 47(16), pages 1670-1685, April.
    4. Zhidong Bai & Hua Li & Michael McAleer & Wing-Keung Wong, 2015. "Stochastic dominance statistics for risk averters and risk seekers: an analysis of stock preferences for USA and China," Quantitative Finance, Taylor & Francis Journals, vol. 15(5), pages 889-900, May.
    5. 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.
    6. Valenzuela, Maria Rebecca & Wong, Wing-Keung & Zhen, Zhu Zhen, 2017. "Income and Consumption Inequality in the Philippines: A Stochastic Dominance Analysis of Household Unit Records," ADBI Working Papers 662, Asian Development Bank Institute.
    7. Sheung-Chi Chow & Ma. Rebecca Valenzuela & Wing-Keung Wong, 2016. "New Tests for Richness and Poorness:A Stochastic Dominance Analysis of Income Distributions in Hong Kong," Monash Economics Working Papers 25-16, Monash University, Department of Economics.
    8. Lean, Hooi Hooi & McAleer, Michael & Wong, Wing-Keung, 2010. "Market efficiency of oil spot and futures: A mean-variance and stochastic dominance approach," Energy Economics, Elsevier, vol. 32(5), pages 979-986, September.
    9. Wing-Keung Wong & Hooi Hooi Lean & Michael McAleer & Feng-Tse Tsai, 2018. "Why Are Warrant Markets Sustained in Taiwan but Not in China?," Sustainability, MDPI, Open Access Journal, vol. 10(10), pages 1-17, October.
    10. Al-Khazali, Osamah & Mirzaei, Ali, 2017. "Stock market anomalies, market efficiency and the adaptive market hypothesis: Evidence from Islamic stock indices," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 51(C), pages 190-208.
    11. Bouri, Elie & Gupta, Rangan & Wong, Wing-Keung & Zhu, Zhenzhen, 2018. "Is wine a good choice for investment?," Pacific-Basin Finance Journal, Elsevier, vol. 51(C), pages 171-183.
    12. Hoang, Thi-Hong-Van & Zhu, Zhenzhen & El Khamlichi, Abdelbari & Wong, Wing-Keung, 2019. "Does the Shari’ah screening impact the gold-stock nexus? A sectorial analysis," Resources Policy, Elsevier, vol. 61(C), pages 617-626.
    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. Ng, Pin & Wong, Wing-Keung & Xiao, Zhijie, 2017. "Stochastic dominance via quantile regression with applications to investigate arbitrage opportunity and market efficiency," European Journal of Operational Research, Elsevier, vol. 261(2), pages 666-678.
    15. El khamlichi, Abdelbari & HOANG, Thi Hong Van & Wong, Wing-Keung, 2017. "Is Gold Different for Islamic and Conventional Portfolios? A Sectorial Analysis," MPRA Paper 76282, University Library of Munich, Germany.
    16. Qiao, Zhuo & Wong, Wing-Keung & Fung, Joseph K.W., 2013. "Stochastic dominance relationships between stock and stock index futures markets: International evidence," Economic Modelling, Elsevier, vol. 33(C), pages 552-559.
    17. Al-Khazali, Osamah & Lean, Hooi Hooi & Samet, Anis, 2014. "Do Islamic stock indexes outperform conventional stock indexes? A stochastic dominance approach," Pacific-Basin Finance Journal, Elsevier, vol. 28(C), pages 29-46.
    18. Al-Khazali, Osamah, 2014. "Revisiting fast profit investor sentiment and stock returns during Ramadan," International Review of Financial Analysis, Elsevier, vol. 33(C), pages 158-170.

    More about this item

    Keywords

    Stochastic dominance; Correlated distributions; Heteroskedasticity; Grid points;

    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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