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Consistent Testing for Stochastic Dominance: A Subsampling Approach

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  • Oliver Linton
  • Esfandiar Maasoumi
  • Yoon-Jae Whang

Abstract

We study a very general setting, and propose a procedure for estimating the critical values of the extended Kolmogorov-Smirnov tests of First and Second Order Stochastic Dominance due to McFadden (1989) in the general k-prospect case. We allow for the observations to be generally serially dependent and, for the first time, we can accommodate general dependence amongst the prospects which are to be ranked. Also, the prospects may be the residuals from certain conditional models, opening the way for conditional ranking. We also propose a test of Prospect Stochastic Dominance. Our method is based on subsampling and we show that the resulting data tests are consistent.

Suggested Citation

  • 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.
    • Handle: RePEc:cep:stiecm:433
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    Cited by:

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    2. Wen‐Hao Chen & Jean‐Yves Duclos, 2011. "Testing for poverty dominance: an application to Canada," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 44(3), pages 781-803, August.
    3. Milunovich, George & Thorp, Susan, 2006. "Valuing volatility spillovers," Global Finance Journal, Elsevier, vol. 17(1), pages 1-22, September.
    4. Néstor Gandelman, 2005. "Community Tax Evasion Models: A Stochastic Dominance Test," Journal of Applied Economics, Taylor & Francis Journals, vol. 8(2), pages 279-297, November.
    5. Maasoumi, Esfandiar & Racine, Jeff & Stengos, Thanasis, 2007. "Growth and convergence: A profile of distribution dynamics and mobility," Journal of Econometrics, Elsevier, vol. 136(2), pages 483-508, February.
    6. Joon Y. Park, 2004. "The Spatial Analysis of Time Series," Econometric Society 2004 North American Winter Meetings 595, Econometric Society.
    7. 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.
    8. Valentina Corradi & Norman R. Swanson, 2003. "A Test for Comparing Multiple Misspecified Conditional Distributions," Departmental Working Papers 200314, Rutgers University, Department of Economics.
    9. Maasoumi, Esfandiar & Millimet, Daniel & Sarkar, Dipanwita, 2005. "The Distribution of Returns to Marriage," Departmental Working Papers 0503, Southern Methodist University, Department of Economics.
    10. Olmo, José, 2008. "Testing downside risk efficiency under market distress," UC3M Working papers. Economics we084321, Universidad Carlos III de Madrid. Departamento de Economía.
    11. Suhejla Hoti & Esfandiar Maasoumi & Michael McAleer & Daniel Slottje, 2009. "Measuring the Volatility in U.S. Treasury Benchmarks and Debt Instruments," Econometric Reviews, Taylor & Francis Journals, vol. 28(6), pages 522-554.
    12. Gordon Anderson, 2008. "The empirical assessment of multidimensional welfare, inequality and poverty: Sample weighted multivariate generalizations of the Kolmogorov–Smirnov two sample tests for stochastic dominance," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(1), pages 73-87, March.
    13. Millimet, Daniel & Wang, Le, 2005. "Is the Quantity-Quality Trade-off Really a Trade-off for All?," Departmental Working Papers 0502, Southern Methodist University, Department of Economics.
    14. 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.

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    More about this item

    Keywords

    Prospect theory; stochastic dominance; stochastic equicontinuity; subsampling.;
    All these keywords.

    JEL classification:

    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General

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