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Non-Uniform Bounds for Nonparametric T Tests


  • Dufour, J.M.


This Paper Gives Non-Uniform Bounds on the Tail Areas of the Permutation Distribution of the Usual Student's T Statistic When the Observations Are Independent with Symmetric Distributions. As Opposed to Uniform Bounds, Non-Uniform Bounds Depend on the Observed Sample. It Is Shown That the Non-Uniform Bounds Proposed Are Always Tighter Than Uniform Exponential Bounds Previously Suggested. the Use of the Bounds to Perform Nonparametric T Tests Is Discussed and Numerical Examples Are Presented.

Suggested Citation

  • Dufour, J.M., 1988. "Non-Uniform Bounds for Nonparametric T Tests," Cahiers de recherche 8820, Universite de Montreal, Departement de sciences economiques.
  • Handle: RePEc:mtl:montde:8820

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    References listed on IDEAS

    1. Bronsard, Camille & Salvas-Bronsard, Lise, 1986. "Commodity and Asset Demands with and without Quantity Constraints in the Labour Market," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(2), pages 185-208, April.
    2. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    3. Kodde, David A & Palm, Franz C, 1987. "A Parametric Test of the Negativity of the Substitution Matrix," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 2(3), pages 227-235, July.
    4. Sonnenschein, Hugo, 1972. "Market Excess Demand Functions," Econometrica, Econometric Society, vol. 40(3), pages 549-563, May.
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    Cited by:

    1. Dufour, Jean-Marie & Farhat, Abdeljelil & Hallin, Marc, 2006. "Distribution-free bounds for serial correlation coefficients in heteroskedastic symmetric time series," Journal of Econometrics, Elsevier, vol. 130(1), pages 123-142, January.
    2. Renato Flôres & Ariane Szafarz, 1997. "Testing the Information Structure of Eastern European Markets: The Warsaw Stock Exchange," Economic Change and Restructuring, Springer, vol. 30(2), pages 91-105, May.
    3. Bryan Campbell & Eric Ghysels, 1997. "An Empirical Analysis of the Canadian Budget Process," Canadian Journal of Economics, Canadian Economics Association, vol. 30(3), pages 553-576, August.
    4. Dufour, Jean-Marie & Taamouti, Abderrahim, 2010. "Exact optimal inference in regression models under heteroskedasticity and non-normality of unknown form," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2532-2553, November.

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    Tests ; Distribution ; Statistics;


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