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Estimate of the rate of convergence in limit theorems for sums of a random number of independent random vectors

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Literature cited

  1. A. Bikyalis, “On a central limit theorem in Rk, 1,” Litovsk. Matem. Sborn.,11, No. 1, 27 (1971).

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  2. G. Korn and T. Korn, Mathematics Handbook [Russian translation], Moscow (1968).

  3. M. Mamatov and I. Nematov, “On a limit theorem for sums of a random number of independent random variables,” Izv. Akad. Nauk Uzb. SSR, No. 3 (1971).

  4. V. I. Paulauskas, “On the sum of a random number of random vectors,” Litovsk. Matem. Sborn.,12, No. 3, 109 (1972).

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  5. V. V. Sazonov, “On an estimate of the rate of convergence in a multidimensional central limit theorem,” Transactions of the Sixth Berkeley Symposium on Probability and Mathematical Statistics.

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Authors and Affiliations

  1. V. Kapsukas Vil'nius State University, USSR

    L. Berzhnitskas, V. Bernotas & V. I. Paulauskas

Authors
  1. L. Berzhnitskas
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  2. V. Bernotas
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  3. V. I. Paulauskas
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Additional information

Translated from Litovskii Matematicheskii Sbornik, Vol. 13, No. 3, pp. 53–61, July–September, 1973.

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Berzhnitskas, L., Bernotas, V. & Paulauskas, V.I. Estimate of the rate of convergence in limit theorems for sums of a random number of independent random vectors. Lith Math J 13, 385–391 (1973). https://doi.org/10.1007/BF01563427

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  • DOI: https://doi.org/10.1007/BF01563427

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