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The distribution of two-sample location exceedance test statistics under Lehmann alternatives

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Abstract

The distribution and the first two moments of exceedance test statistics for the two-sample location problem under Lehmann alternatives is derived.

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References

  • GUMBEL, E. J. and H. von SCHELLING (1950). The distribution of the number of exceedances, Ann. Math. Statist., Vol. 21, p. 247–262.

    Article  Google Scholar 

  • LEHMANN, E. L. (1951). Consistency and unbiasedness of certain nonparametric tests, Ann. Math. Statist., Vol. 22, p. 165–179.

    Article  MathSciNet  Google Scholar 

  • LEHMANN, E. L. (1953). The power of rank tests, Ann. Math. Statist., Vol. 24, p. 23–43.

    Article  MathSciNet  Google Scholar 

  • MATHISEN, H. C. A. (1943). A method for testing the hypothesis that two samples are from the same population, Ann. Math. Statist., Vol. 14, p. 188–194.

    Article  MathSciNet  Google Scholar 

  • RANDLES, R. H. and D. A. WOLFE (1979). Introduction to the Theory of Nonparametric Statistics, J. Wiley, New York.

    MATH  Google Scholar 

  • RIORDAN, J. (1968). Combinatorial Identities, J. Wiley, New York.

    MATH  Google Scholar 

  • ROSENBAUM, S. (1954). Tables for a nonparametric test of location, Ann. Math. Statist., Vol. 25, p. 146–150.

    Article  MathSciNet  Google Scholar 

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Katzenbeisser, W. The distribution of two-sample location exceedance test statistics under Lehmann alternatives. Statistische Hefte 26, 131–138 (1985). https://doi.org/10.1007/BF02932526

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  • DOI: https://doi.org/10.1007/BF02932526

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