Skip to main content
Log in

Asymptotic constancy of the norm of sums of random vectors

  • Published:
Lithuanian Mathematical Journal Aims and scope Submit manuscript

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. G. Bakshtis, “An example of Yu. V. Prokhorov”, Liet. Mat. Rinkinys,25, No. 4, 3–9 (1985).

    Google Scholar 

  2. G. Bakshtis and V. I. Paulauskas, “Approximation of distributions of sums of Banachvalued random elements with infinitely divisible laws”, Liet. Mat. Rinkinys,26, No. 3, 788–795 (1986).

    Google Scholar 

  3. N. N. Vakhaniya, Probability Distributions in Linear Spaces [in Russian], Metsniereba, Tbilisi (1971).

    Google Scholar 

  4. A. I. Martikainen, “A conjecture of Yu. V. Prokhorov”, Teor. Veroyatn. Primen.,31, No. 4, 788–795 (1986).

    Google Scholar 

  5. V. V. Petrov, Sums of Independent Random Variables, Academic Press (1970).

  6. Yu. V. Prokhorov, “Sums of random vectors with values in a Hilbert space”, Teor. Veroyatn. Primen.,28, No. 2, 354–358 (1983).

    Google Scholar 

  7. V. V. Yurinskii, “Exponential estimates for large deviations”, Teor. Veroyatn. Primen.,19, No. 1, 152–153 (1974).

    Google Scholar 

  8. M. Ledoux, “The law of iterated logarithm in uniformly convex Banach spaces”, Trans. Am. Math. Soc.,294, No. 1, 351–365 (1986).

    Google Scholar 

  9. V. Mandrekar, “Central limit problem and invariance principles in Banach spaces”, Lect. Notes Math.,986, 425–497 (1983).

    Google Scholar 

  10. W. A. Woyczynski, “Geometry and martingales in Banach spaces. II. Independent increments”, Adv. Prob. Rel. Topics, No. 4, 267–517 (1978).

    Google Scholar 

Download references

Authors

Additional information

V. Kapsukas Vilnius State University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 29, No. 1, pp. 3–13, January–March, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bakstys, G. Asymptotic constancy of the norm of sums of random vectors. Lith Math J 29, 1–8 (1989). https://doi.org/10.1007/BF00966493

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00966493

Keywords

Navigation