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Nonhomogeneous samples in the Behrens-Fisher problem

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Abstract

An upper bound is given for the probability of large deviation of the test statistic in the Behrens-Fisher problem under the null hypothesis in the case of nonhomogeneous samples.

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References

  1. N. K. Bakirov, “The nonequiaccurate approach to the Behrens-Fisher problem”,Trudy Leningrad Mat. Inst. Akad. Nauk SSSR,166, 6–8 (1988).

    MATH  Google Scholar 

  2. E. L. Lehmann,Testing Statistical Hypotheses, Wiley, New York (1959).

    Google Scholar 

  3. M. G. Kendall and A. Stuart,The Advanced Theory of Statistics: Inferences and Relationships, Hafner, New York (1974).

    Google Scholar 

  4. V. I. Pagurova, “On comparison of means in two normal samples”,Teor. Veroyatn. Primen. 12, 561–569 (1968).

    MathSciNet  Google Scholar 

  5. N. K. Bakirov, “An extremal property of Student's distribution”,Trudy Leningrad Mat. Inst. Akad. Nauk SSSR,153, 16–27 (1986).

    MATH  Google Scholar 

  6. A. V. Makshanov and O. V. Shalaevskii, “Some problems of asymptotic approximations of distributions”,Trudy Leningrad Mat. Inst. Akad. Nauk SSSR,74, 118–138 (1977).

    Google Scholar 

  7. P. Lancaster,Theory of Matrices Academic Press, New York (1969).

    Google Scholar 

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Authors and Affiliations

  1. Mathematical Institute, UNC Russian Academy of Science, 450000, Ufa, Russia

    N. K. Bakirov

Authors
  1. N. K. Bakirov
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Additional information

Proceedings of the Seminar on Stability Problems for Stochastic Models, Moscow, Russia, 1996, Part I.

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Bakirov, N.K. Nonhomogeneous samples in the Behrens-Fisher problem. J Math Sci 89, 1460–1467 (1998). https://doi.org/10.1007/BF02362281

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  • DOI: https://doi.org/10.1007/BF02362281

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