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Lobachevskii Journal of Mathematics

, Volume 39, Issue 3, pp 388–397 | Cite as

Confidence Bounds and Narrowest Reliable Intervals in D-Posterior Approach

  • S. V. Simushkin
Article
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Abstract

Several new methods of confidence and of asymptotically confidence limits in the dposterior approach is proposed. For the so-called reliable two-sided intervals, close in construction to Bayesian intervals, the method of constructing the narrowest intervals is given.

Keywords

Bayesian intervals d-posterior approach asymptotically confidence limits 

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References

  1. 1.
    I. N. Volodin and S. V. Simushkin, “Confidence estimation in the d-posterior approach,” Theory Probab. Appl. 35, 318–329 (1990).MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    I. N. Volodin and S. V. Simushkin, “On d-posterior approach to the problem of statistical inference,” in Proceedings of the 3rd International Vilnius Conference on Probability Theory and Mathematical Statistics, Vilnius, 1981, Vol.1.Google Scholar
  3. 3.
    S. V. Simushkin, “Optimal d-guaranteed procedures for discrimination of two hypotheses,” Available from VINITI AN SSSR, No. 5547-81 (1981).Google Scholar
  4. 4.
    I. N. Volodin and S. V. Simushkin, “D-Posterior concept of p-value,” Math. Methods Stat. 13, 108–121 (2004).MathSciNetzbMATHGoogle Scholar
  5. 5.
    A. W. van der Vaart, Asymptotic Statistic (Cambridge Univ. Press, Cambridge, 1998).CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Kazan (Volga Region) Federal UniversityKazanRussia

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