Skip to main content
Log in

Oscillation of the realizations of bounded almost-sure Gaussian sequences

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. V. V. Buldygin and V. S. Donchenko, “On a class of probability measures in a sequence space,” Preprint No. 76.1, Inst. Mat., Akad. Nauk Ukr. SSR, Kiev (1976).

    Google Scholar 

  2. K. Ito and M. Nisio, “On the oscillation functions of Gaussian processes,” Math. Scand.,22, No. 1, 209–223 (1968).

    Google Scholar 

  3. V. V. Buldygin and V. S. Donchenko, “On the convergence of Gaussian sequences to zero,” Mat. Zametki,21, No. 4, 531–538 (1977).

    Google Scholar 

  4. V. V. Buldygin and S. A. Solntsev, “The oscillation properties of Gaussian sequences,” in: Probabilistic Infinite-Dimensional Analysis [in Russian], A. V. Skorokhod (ed.), Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1981), pp. 15–29.

    Google Scholar 

  5. H. Finkenstein, “The law of the iterated logarithm for empirical distributions,” Ann. Math. Stat.,42, No. 2, 607–615 (1971).

    Google Scholar 

  6. S. A. Solntsev, “On dense oscillation of a Gaussian Markov sequence,” Teor. Veroyatn. Mat. Statist., No. 28, 131–132 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 1, pp. 110–111, January–February, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Buldygin, V.V., Solntsev, S.A. Oscillation of the realizations of bounded almost-sure Gaussian sequences. Ukr Math J 37, 96–97 (1985). https://doi.org/10.1007/BF01056860

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056860

Keywords

Navigation