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Nonuniform Bounds for Nonparametric t-Tests

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  • Dufour, Jean-Marie
  • Hallin, Marc

Abstract

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.

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Bibliographic Info

Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 7 (1991)
Issue (Month): 02 (June)
Pages: 253-263

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Handle: RePEc:cup:etheor:v:7:y:1991:i:02:p:253-263_00

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Cited by:
  1. Marc Hallin & Abdeljelil Farhat & Jean-Marie Dufour, 2006. "Distribution-free bounds for serial correlation coefficients in heteroskedastic symmetric time series," ULB Institutional Repository 2013/2143, ULB -- Universite Libre de Bruxelles.
  2. 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.
  3. Campbell, B. & Ghysels, E., 1995. "An Empirical Analysis of the Canadian Budget Process," Cahiers de recherche 9523, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  4. Flores, Renato G, Jr & Szafarz, Ariane, 1997. " Testing the Information Structure of Eastern European Markets: The Warsaw Stock Exchange," Economic Change and Restructuring, Springer, vol. 30(2-3), pages 91-105.

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