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A Kolmogorov-Smirnov type test for shortfall dominance against parametric alternatives


  • Michel Denuit

    () (University of Louvain)

  • Anne-Cécile Goderniaux

    () (Haute Ecole Blaise Pascal Virton)

  • Olivier Scaillet

    () (HEC, University of Geneva and FAME)


This paper proposes a Kolmogorov-type test for the shortfall order (also known in the literature as the right-spread or excess-wealth order) against parametric alternatives. In the case of the null hypothesis corresponding to the Negative Exponential distribution, this provides a test for the new better than used in expectation (NBUE) property. Such a test is particularly useful in reliability applications as well as duration and income distribution analysis. The theoretical properties of the testing procedure are established. Simulation studies reveal that the test proposed in this paper performs well, even with moderate sample sizes. Applications to real data, namely chief executive officer (CEO) compensation data and flight delay data, illustrate the empirical relevance of the techniques described in this paper.

Suggested Citation

  • Michel Denuit & Anne-Cécile Goderniaux & Olivier Scaillet, 2005. "A Kolmogorov-Smirnov type test for shortfall dominance against parametric alternatives," FAME Research Paper Series rp143, International Center for Financial Asset Management and Engineering.
  • Handle: RePEc:fam:rpseri:rp143

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    References listed on IDEAS

    1. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
    2. Belzunce, F. & Pinar, J. F. & Ruiz, J. M., 2001. "A family of tests for right spread order," Statistics & Probability Letters, Elsevier, vol. 54(1), pages 79-92, August.
    3. 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.
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    More about this item


    Right-spread order; Excess-wealth order; New better than used in expectation; Bootstrap; Reliability; CEO compensation; Flight delay;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General


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