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Locally most powerful two-sample rank tests for Lévy distributions

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Abstract

For two independent samples of independent random variables which follow a Lévy distribution, the scores for the locally most powerful rank tests for the location and scale problem are obtained. To carry the asymptotic normality of the rank statistics into practice the null means and variances are calculated.

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References

  • Blattberg, R.C. andGonedes, N.J. (1974): “A Comparison of the Stable and Student Distribution as Statistical Models for Stock Prices”,Journal of Business, 47, 244–280.

    Article  Google Scholar 

  • Bookstaber, R.M. andMcDonald, J.B. (1987): “A General Distribution for Describing Security Price Returns”,Journal of Business, 60, 401–424.

    Article  Google Scholar 

  • Feller, W. (1971):An Introduction to Probability Theory and Its Applications, Wiley (New York).

    MATH  Google Scholar 

  • Gibbons, J. (1971):Nonparametric Statistical Inference, McGraw Hill (New York).

    MATH  Google Scholar 

  • Hájek, J. andŠidák, Z. (1967):Theory of Rank Tests, Academic Press (New York).

    MATH  Google Scholar 

  • Iglésias Pereira, H. (1990): “Tests for the Characteristic Exponent and the Scale Parameter of Symmetric Stable Distributions”,Communications in Statistics—Simulation, 19, 1465–1475.

    MATH  Google Scholar 

  • Praetz, P.D. (1972): “The Distribution of Share Price Changes”,Journal of Business, 45, 49–55.

    Article  Google Scholar 

  • Randles, R.H. andWolfe, D.A. (1991):Introduction to the Theory of Nonparametric Statistics, Wiley (New York).

    Google Scholar 

  • Runde, R. (1993): “A Note on the Asymptotic Distribution of the F-Statistic for Random Variables with Infinite Variance”,Statistics and Probability Letters, 18, 9–12.

    Article  MathSciNet  MATH  Google Scholar 

  • Zolotarev, V.M. (1986):One-dimensional Stable Distributions, Translations of Mathematical Monographs 65, American Mathematical Society, Providence (Rhode Island).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Statistics, University of Dortmund, D-44221, Dortmund, Germany

    Ralf Runde

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  1. Ralf Runde
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Research supported by Deutsche Forschungsgemeinschaft (DFG).

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Runde, R. Locally most powerful two-sample rank tests for Lévy distributions. Statistical Papers 39, 179–188 (1998). https://doi.org/10.1007/BF02925405

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  • DOI: https://doi.org/10.1007/BF02925405

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