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The estimation of the rate of convergence in the integral limit theorem in the Euclidean motion group

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Stability Problems for Stochastic Models

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1233))

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References

  1. Tutubalin V.N., The central limit theorem for random motions of Euclidean space (in Russian)-Vestnik MGU, Ser.1, Math. and Mech., 22, 6 (1967), p. 100–108.

    MathSciNet  Google Scholar 

  2. Gorostiza L.G., The central limit theorem for random motions of α-dimensional Euclidean space-Ann. Prob., 1, (1973), p. 603–612.

    Article  MathSciNet  MATH  Google Scholar 

  3. Roynette B., Theoreme central-limite pour le groupe de deplacements de ℝ d-Ann. Inst. H. Poincare, 10, Sect.B (1974), p.391–398.

    MathSciNet  MATH  Google Scholar 

  4. Baldi P., Lois stables sur les deplacements de ℝ d-In: Probability Measures on Groups. Lecture Notes in Math., 706 (1979), p.1–9.

    Article  MathSciNet  MATH  Google Scholar 

  5. Hohlov Yu.S., On the convergence of distribution of the translation parameter of the composition of Euclidean random motions to multidimensional stable distribution (in Russian)-Theory Prob. Appl., 26, 2 (1982), p.342–344.

    Google Scholar 

  6. Zolotarev V.M. Metric distances in spaces of random variables and their distributions-Math. USSR Sbornik, 30, 3 (1976), p.373–401.

    Article  MathSciNet  MATH  Google Scholar 

  7. Senatov V.V., Several uniform estimates of the rate of convergence in the multidimensional central limit theorem (in Russian)-Theory Prob. Appl., 25, 4 (1980), p.757–770.

    MathSciNet  MATH  Google Scholar 

  8. Zolotarev V.M., Probability metrics (in Russian)-Theory Prob. Appl., 28, 3 (1983), p.264–287.

    MathSciNet  MATH  Google Scholar 

  9. Paulauskak V., On the rate of convergence in the multidimensional limit theorem in the case of stable limit law (in Russian)-Litovsk. Math. Sb., 15, 1 (1975), p.207–227.

    MathSciNet  Google Scholar 

  10. Grincevicius A.K., Some limit theorems for weakly dependent random variables. Fourth International Vilnius conference on probability theory and mathematical statistics. Abstracts of communications, IV (1985), p.106–108.

    Google Scholar 

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Authors and Affiliations

  1. Faculty of Applied Math., Kalinin State University, 170013, Kalinin, USSR

    Yu. S. Hohlov

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  1. Yu. S. Hohlov
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Vladimir V. Kalashnikov Boyan Penkov Vladimir M. Zolotarev

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© 1987 Springer-Verlag

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Hohlov, Y.S. (1987). The estimation of the rate of convergence in the integral limit theorem in the Euclidean motion group. In: Kalashnikov, V.V., Penkov, B., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072705

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  • DOI: https://doi.org/10.1007/BFb0072705

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17204-8

  • Online ISBN: 978-3-540-47394-7

  • eBook Packages: Springer Book Archive

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