Skip to main content
SpringerLink
Log in

Large deviations forU-statistics

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. W. Hoeffding, A class of statistics with asymptotically normal distribution,Ann. Math. Statist.,19, 293–325 (1948).

    Google Scholar 

  2. T. L. Malevich and B. Abdalimov, Probabilities of large deviations forU-statistics,Theory Probab. Appl.,24, 215–220 (1979).

    Google Scholar 

  3. M. Vandemaele, On probabilities of large deviations forU-statistics,Theory Probab. Appl.,27, 573–574 (1982).

    Google Scholar 

  4. A. K. Aleškevičienė, Probabilities of large deviations forU-statistics and for Mises functionals,Theory Probab. Appl.,35, 3–14 (1990).

    Google Scholar 

  5. R. Bentkus and R. Rudzkis, On exponential estimates of the distribution of random variables,Liet. Mat. Rinkinys,20, 15–30 (1980).

    Google Scholar 

  6. H. Dehling, M. Denker, and W. Philipp, The almost sure invariance principle for the empirical process ofU-statistics structure,Ann. Inst. Henri Poincaré,23, 121–133 (1987).

    Google Scholar 

  7. T. Inglot and T. Ledwina, Cramér type large deviations for someU-statistics,Preprint Institute of Mathematics, Technical University, Wroclaw, No. 9 (1990).

    Google Scholar 

  8. V. V. Petrov,Limit Theorems for Sums of Independent Random Variables [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  9. S. V. Nagaev, Some limit theorems for large deviations,Theory Probab. Appl.,10, 213–254 (1965).

    Google Scholar 

  10. W. Wolf, Asymptotische Entwicklungen für Wahrcheinlichkeiten grossen Abweichungen,Z. Wahrsch.verw. Geb.,40, 239–256 (1977).

    Google Scholar 

Download references

Authors
  1. A. K. Aleškevičienė
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania. Published in Lietuvos Matematikos Rinkinys, Vol.32, No. 1, pp. 7–19, January–March,1992.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aleškevičienė, A.K. Large deviations forU-statistics. Lith Math J 32, 4–14 (1992). https://doi.org/10.1007/BF00970968

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970968

Search

Navigation