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Consistent Testing for Stochastic Dominance: A Subsampling Approach

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Author Info
Oliver Linton
Esfandiar Maasoumi
Yoon-Jae Whang

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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.

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Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Econometrics Paper Series with number /2002/433.

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Date of creation: Mar 2002
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Handle: RePEc:cep:stiecm:/2002/433

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Keywords: Prospect theory; stochastic dominance; stochastic equicontinuity; subsampling.;

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March. [Downloadable!] (restricted)
  2. Abadie A., 2002. "Bootstrap Tests for Distributional Treatment Effects in Instrumental Variable Models," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 284-292, March. [Downloadable!] (restricted)
  3. repec:cup:etheor:v:10:y:1994:i:5:p:849-66 is not listed on IDEAS
  4. Bawa, Vijay S., 1975. "Optimal rules for ordering uncertain prospects," Journal of Financial Economics, Elsevier, vol. 2(1), pages 95-121, March. [Downloadable!] (restricted)
  5. Esfandiar Maasoumi & Almas Heshmati, 2000. "Stochastic dominance amongst swedish income distributions," Econometric Reviews, Taylor and Francis Journals, vol. 19(3), pages 287-320. [Downloadable!] (restricted)
    Other versions:
  6. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  7. 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. [Downloadable!]
  8. Daniel L. Millimet & Esfandiar Maasoumi, 2005. "Robust inference concerning recent trends in US environmental quality," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(1), pages 55-77. [Downloadable!]
  9. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-30, March. [Downloadable!] (restricted)
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  10. Delgado, Miguel A. & Rodriguez-Poo, Juan M. & Wolf, Michael, 2001. "Subsampling inference in cube root asymptotics with an application to Manski's maximum score estimator," Economics Letters, Elsevier, vol. 73(2), pages 241-250, November. [Downloadable!] (restricted)
  11. Xu, K. & Fisher, G. & Wilson, D., 1995. "New Distribution Tests for Stochastic Dominance," Department of Economics at Dalhousie University working papers archive 95-02, Dalhousie, Department of Economics.
  12. Russell Davidson & Jean-Yves Duclos, 1997. "Statistical Inference for the Measurement of the Incidence of Taxes and Transfers," Econometrica, Econometric Society, vol. 65(6), pages 1453-1466, November.
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  13. Whang, Yoon-Jae, 2001. "Consistent specification testing for conditional moment restrictions," Economics Letters, Elsevier, vol. 71(3), pages 299-306, June. [Downloadable!] (restricted)
  14. Xu, K. & Fisher, G. & Wilson, D., 1995. "New Distribution Tests for Stochastic Dominance," Department of Economics at Dalhousie University working papers archive 95-02, Dalhousie, Department of Economics.
  15. W. Härdle & J. Horowitz & J.-P. Kreiss, . "Bootstrap Methods For Time Series," Sonderforschungsbereich 373 2001-59, Humboldt Universitaet Berlin.
  16. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-93, September. [Downloadable!] (restricted)
  17. Gourieroux, Christian & Holly, Alberto & Monfort, Alain, 1982. "Likelihood Ratio Test, Wald Test, and Kuhn-Tucker Test in Linear Models with Inequality Constraints on the Regression Parameters," Econometrica, Econometric Society, vol. 50(1), pages 63-80, January. [Downloadable!] (restricted)
  18. K.-Y. Ho, 2003. "Long-run stock price performance after IPOs: what do tests for stochastic dominance tell us?," Applied Economics Letters, Taylor and Francis Journals, vol. 10(1), pages 15-19, January. [Downloadable!] (restricted)
  19. Donald W. K. Andrews, 1997. "A Conditional Kolmogorov Test," Econometrica, Econometric Society, vol. 65(5), pages 1097-1128, September.
    Other versions:
  20. Ian Crawford, 1999. "Nonparametric tests of stochastic dominance in bivariate distributions, with an application to UK data," IFS Working Papers W99/28, Institute for Fiscal Studies.
  21. Kaur, Amarjot & Prakasa Rao, B.L.S. & Singh, Harshinder, 1994. "Testing for Second-Order Stochastic Dominance of Two Distributions," Econometric Theory, Cambridge University Press, vol. 10(05), pages 849-866, December. [Downloadable!]
  22. Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Blackwell Publishing, vol. 54(3), pages 485-97, July. [Downloadable!] (restricted)
  23. Peter Reinhard Hansen, 2001. "An Unbiased and Powerful Test for Superior Predictive Ability," Working Papers 2001-06, Brown University, Department of Economics. [Downloadable!]
  24. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    Other versions:
  25. Levy, Haim & Wiener, Zvi, 1998. "Stochastic Dominance and Prospect Dominance with Subjective Weighting Functions," Journal of Risk and Uncertainty, Springer, vol. 16(2), pages 147-63, May-June. [Downloadable!] (restricted)
  26. Hansen, Bruce E., 1996. "Stochastic Equicontinuity for Unbounded Dependent Heterogeneous Arrays," Econometric Theory, Cambridge University Press, vol. 12(02), pages 347-359, June. [Downloadable!]
    Other versions:
  27. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February. [Downloadable!] (restricted)
  28. Valentino Dardanoni & Antonio Forcina, 1999. "Inference for Lorenz curve orderings," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 49-75.
  29. repec:cup:etheor:v:12:y:1996:i:2:p:347-59 is not listed on IDEAS
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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. [Downloadable!]
  2. Suhejla Hoiti & Esfandiar Maasoumi & Michael McAleer & Daniel Slottje, 2005. "Measuring the Volatility in U.S. Treasury Benchmarks and Debt Instruments," DEA Working Papers 14, Universitat de les Illes Balears, Departament d'Economía Aplicada. [Downloadable!]
    Other versions:
  3. 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," Journal of Economic Inequality, Springer, vol. 6(1), pages 73-87, March. [Downloadable!] (restricted)
  4. Millimet, Daniel L. & Wang, Le, 2009. "Is the Quantity-Quality Trade-off a Trade-off for All, None, or Some?," IZA Discussion Papers 4078, Institute for the Study of Labor (IZA). [Downloadable!]
  5. Wen-Hao Chen & Jean-Yves Duclos, 2008. "Testing for Poverty Dominance: an Application to Canada," Cahiers de recherche 0836, CIRPEE. [Downloadable!]
    Other versions:
  6. Park, Joon Y., 2005. "The Spatial Analysis of Time Series," Working Papers 2005-07, Rice University, Department of Economics. [Downloadable!]
  7. Maasoumi, Esfandiar & Millimet, Daniel & Sarkar, Dipanwita, 2005. "The Distribution of Returns to Marriage," Departmental Working Papers 0503, Southern Methodist University, Department of Economics. [Downloadable!]
  8. George Milunovich & Susan Thorp, 2005. "Valuing Volatility Spillovers," Research Papers 0506, Macquarie University, Department of Economics. [Downloadable!]
    Other versions:
  9. Jesus Gonzalo & Jose Olmo, 2008. "Testing downside risk efficiency under market distress," Economics Working Papers we084321, Universidad Carlos III, Departamento de Economía. [Downloadable!]
    Other versions:
  10. 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. [Downloadable!]
  11. Esfandiar Maasoumi & Daniel L. Millimet & Dipanwita Sarkar, 2008. "Who Benefits from Marriage?," Emory Economics 0807, Department of Economics, Emory University (Atlanta). [Downloadable!]
    Other versions:
  12. Ozkan Eren & Daniel Millimet, 2007. "Time to learn? The organizational structure of schools and student achievement," Empirical Economics, Springer, vol. 32(2), pages 301-332, May. [Downloadable!] (restricted)
    Other versions:
  13. Dominic Gasbarro & Wing-Keung Wong & J. Kenton Zumwalt, 2007. "Stochastic Dominance Analysis of iShares," SCAPE Policy Research Working Paper Series 0706, National University of Singapore, Department of Economics, SCAPE. [Downloadable!]
    Other versions:
  14. Néstor Gandelman, 2005. "Community tax evasion models: A stochastic dominance test," Journal of Applied Economics, Universidad del CEMA, vol. 0, pages 279-297, November. [Downloadable!]
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