Skip to main content
SpringerLink
Log in

Limit theorems for maximum functionals of asymptotically normal sums of independent random variables

  • Published:
Journal of Soviet Mathematics 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

Literature cited

  1. A. Renyi, “On the theory of order statistics,” Acta Math. Acad. Sci. Hung.,4, 191–231 (1953).

    Google Scholar 

  2. V. M. Zolotarev, “Center and scatter of a probability distribution,” Dokl. Akad. Nauk SSSR, 194, No. 5, 1010–1012 (1970).

    Google Scholar 

  3. V. V. Petrov, Stuns of Independent Random Variables, Springer (1975).

  4. V. M. Kruglov, “The central limit theorem and the law of large numbers,” Mat. Zametki,30, No. 4, 583–591 (1981).

    Google Scholar 

  5. V. M. Zolotarev, “A generalization of the Lindeberg-Feller theorem,” Teor. Veroyatn. Primen.,22, No. 4, 666–677 (1967).

    Google Scholar 

Download references

Authors
  1. V. M. Kruglov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. A. Efimova
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei — Trudy Seminara, pp. 91–100, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kruglov, V.M., Efimova, E.A. Limit theorems for maximum functionals of asymptotically normal sums of independent random variables. J Math Sci 40, 522–529 (1988). https://doi.org/10.1007/BF01083648

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01083648

Keywords

Search

Navigation