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Generalization of an approximation inequality

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Literature Cited

  1. V. A. Volkonskii and Yu. A. Rozanov, “Limit theorems for random functions. I”, Teor. Veroyatn. Primen.,4, No. 2, 186–207 (1959).

    Google Scholar 

  2. V. A. Volkonskii and Yu. A. Rozanov, “Limit theorems for random functions. II”, Teor. Veroyatn. Primen.,6, No. 2, 202–215 (1961).

    Google Scholar 

  3. K. Yoshihara, “Convergence rates of the invariance principle for absolutely regular sequences”, Yokohama Math. J.,27, 39–55 (1979).

    Google Scholar 

  4. M. Iosifescu and R. Theodorescu, Stochastic Processes and Learning, Springer-Verlag, Berlin (1969).

    Google Scholar 

  5. T. M. Zuparov, “Estimates of the rate of convergence in the central limit theorem for absolutely regular random variables with values in certain Banach spaces”, Dokl. Akad. Nauk SSSR,272, No. 5, 1042–1045 (1983).

    Google Scholar 

  6. P. P. Gudinas, “Approximation of distributions of sums of independent random variables with values from a Banach space”, Liet. Mat. Rinkinys,23, No. 3, 3–21 (1983).

    Google Scholar 

  7. T. M. Zuparov, “Estimates of the rate of convergence in the invariance principle for weakly dependent random variables”, in: Limit Theorems for Probability Distributions [in Russian], Fan, Tashkent (1985).

    Google Scholar 

  8. G. Gaier, Probability Measures on Locally Compact Groups [Russian translation], Mir, Moscow (1981).

    Google Scholar 

  9. U. Grenander, Probability on Algebraic Structures [Russian translation], Mir, Moscow (1965).

    Google Scholar 

  10. J. Neveu, Mathematical Foundations of Probability Theory [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  11. N. Bourbaki, General Topology. Use of Real Numbers in General Topology [Russian translation], Nauka, Moscow (1975).

    Google Scholar 

  12. I. I. Gikhman and A. V. Skorokhod, Theory of Stochastic Processes [in Russian], Vol. 1, Nauka, Moscow (1971).

    Google Scholar 

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Authors
  1. P. Gudynas
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Additional information

Institute of Mathematics and Cybernetics, Academy of Sciences of the Lithuanian SSR. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 29, No. 1, pp. 27–34, January–March, 1989.

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Gudynas, P. Generalization of an approximation inequality. Lith Math J 29, 17–22 (1989). https://doi.org/10.1007/BF00966495

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  • DOI: https://doi.org/10.1007/BF00966495

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