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Bootstrapped Insights into Empirical Applications of Stochastic Dominance

Author

Listed:
  • Ray D. Nelson

    (Brigham Young University, Provo, Utah 84602)

  • Rulon D. Pope

    (Brigham Young University, Provo, Utah 84602)

Abstract

Bootstrapping, a very versatile statistical technique, significantly amplifies the understanding and success of empirical applications of stochastic dominance. Its ability to calculate the standard deviations of order statistics reveals the uncertainty of the critical estimates of the tails of cumulative density functions. Understanding this uncertainty reveals why a wide variety of tail shapes all cause a notable loss in power for stochastic dominance tests. Simulations show that the smoothing inherent in bootstrapping can significantly increase the power of the tests when dominance exists in the population.

Suggested Citation

  • Ray D. Nelson & Rulon D. Pope, 1991. "Bootstrapped Insights into Empirical Applications of Stochastic Dominance," Management Science, INFORMS, vol. 37(9), pages 1182-1194, September.
    • Handle: RePEc:inm:ormnsc:v:37:y:1991:i:9:p:1182-1194
    DOI: 10.1287/mnsc.37.9.1182
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    Citations

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    Cited by:

    1. Arvanitis, Stelios & Post, Thierry & Potì, Valerio & Karabati, Selcuk, 2021. "Nonparametric tests for Optimal Predictive Ability," International Journal of Forecasting, Elsevier, vol. 37(2), pages 881-898.
    2. Pablo C. Benítez & Timo Kuosmanen & Roland Olschewski & G. Cornelis van Kooten, 2006. "Conservation Payments under Risk: A Stochastic Dominance Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(1), pages 1-15.
    3. Thierry Post & Valerio Potì, 2017. "Portfolio Analysis Using Stochastic Dominance, Relative Entropy, and Empirical Likelihood," Management Science, INFORMS, vol. 63(1), pages 153-165, January.
    4. Post, G.T., 2002. "A Stochastic Dominance Approach to Spanning," ERIM Report Series Research in Management ERS-2002-01-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.
    5. Post, G.T., 2001. "Spanning and Intersection: a stochastic dominance approach," ERIM Report Series Research in Management ERS-2001-63-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.
    6. Thierry Post & Yi Fang & Miloš Kopa, 2015. "Linear Tests for Decreasing Absolute Risk Aversion Stochastic Dominance," Management Science, INFORMS, vol. 61(7), pages 1615-1629, July.
    7. Timo Kuosmanen, 2004. "Efficient Diversification According to Stochastic Dominance Criteria," Management Science, INFORMS, vol. 50(10), pages 1390-1406, October.
    8. V.-P. Heikkinen & & Timo Kuosmanen, 2002. "Stochastic Dominance Portfolio Analysis of Forestry Assets," Finance 0210002, University Library of Munich, Germany.
    9. Post, Thierry, 2005. "A Stochastic Dominance Approach to Spanning. With an Application to the January Effect/Una aproximación mediante la metodología del dominio estocástico al fenómeno del SPANNING. Una aplicación al efec," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 23, pages 7-25, Abril.
    10. Post, Thierry & Kopa, Miloš, 2013. "General linear formulations of stochastic dominance criteria," European Journal of Operational Research, Elsevier, vol. 230(2), pages 321-332.
    11. Post, G.T., 2001. "Testing for Stochastic Dominance with Diversification Possibilities," ERIM Report Series Research in Management ERS-2001-38-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.
    12. J. Annaert & S. Van Osselaer & B. Verstraete, 2007. "Performance evaluation of portfolio insurance strategies using stochastic dominance criteria," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 07/473, Ghent University, Faculty of Economics and Business Administration.

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