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Convergence of a class of Gaussian sequences

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Literature cited

  1. V. V. Buldygin, “The strong law of large numbers and convergence to zero of Gaussian sequences,” in: Teor. Veroyatn. Mat. Statistika, No. 19, 33–41, Kiev (1978).

    Google Scholar 

  2. A. I. Martikainen, “On necessary and sufficient conditions for the strong law of large numbers,” Teor. Veroyatn. Primen.,24, No. 4, 814–820 (1979).

    Google Scholar 

  3. V. V. Buldygin, “On Levi's inequality for random variables that take their values in Banach space,” Teor. Veroyatn. Primen.,19, No. 1, 154–158 (1979).

    Google Scholar 

  4. O. M. Yadrenko, “The strong law of large numbers for random vectors with matrix normali-zations,” in: Probabilistic Infinite-Dimensional Analysis, Inst. Math., Acad. Sci. Ukr. SSR, Kiev (1981), pp. 116–120.

    Google Scholar 

  5. O. M. Yadrenko, “The strong law of large numbers with matrix normalizations and conditions of convergence to zero for a class of Gaussian sequences,” in: Problems of the Theory of Stochastic Processes, Institute of Mathematics, Acad. Sci. Ukr. SSR, Kiev (1982), pp. 117–133.

    Google Scholar 

  6. O. M. Yadrenko, “The strong law of large numbers for random vectors with matrix normalization,” in: Abstracts of Reports of Third Vilnius Conference on Probability Theory and Math. Statistics, Vol. 2, Vilnius (1981), pp. 268–269.

    Google Scholar 

  7. N. N. Vakhaniya, Probability Distributions in Infinite-Dimensional Spaces [in Russian], Metsniereba, Tbilisi (1971).

    Google Scholar 

  8. A. V. Skorokhod, “A remark about Gaussian measures in Banach spaces,” Teor. Veroyatn. Primenenie,15, No. 3, 519–520 (1970).

    Google Scholar 

  9. V. V. Buldygin, “Sharpening of limit theorems for conditional means in Banach spaces and their applications,” in: Problems of the Theory of Stochastic Processes, Inst. Math. Acad. Sci. Ukr. SSR, Kiev (1982), pp. 10–24.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev

    O. M. Yadrenko

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  1. O. M. Yadrenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 3, pp. 358–364, May–June, 1984.

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Yadrenko, O.M. Convergence of a class of Gaussian sequences. Ukr Math J 36, 322–327 (1984). https://doi.org/10.1007/BF01077469

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  • DOI: https://doi.org/10.1007/BF01077469

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