Skip to main content
SpringerLink
Log in

Records in the Fα-scheme. II. Limit laws

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

Limit theorems for the number of records in a sequence of independent nonidentically distributed random variables are obtained. A generalization of the so-called Fα-scheme is given. Bibliography: 4 titles.

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

Similar content being viewed by others

References

  1. A. Bikialis, “Estimates of the remainder term in the central limit theorem,”Litov. Mat. Sb.,6, 323–346 (1966).

    Google Scholar 

  2. P. Deheuvels and V. B. Nevzorov, “Records in theF α-scheme. I. Martingale properties,”Zap. Nauchn. Semin. POMI,207, 19–36 (1993).

    Google Scholar 

  3. V. B. Nevzorov, “On the number of records in a sequence of non-identically distributed random variables,” in:Probability Distributions and Mathematical Statistics [in Russian], Tashkent, Fan (1986), pp. 373–388.

    Google Scholar 

  4. P. Deheuvels and V. B. Nevzorov, “Limit laws fork-record times,”J. Stat. Plan. Infer. (1994).

Download references

Authors
  1. P. Deheuvels
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. B. Nevzorov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 216, 1994, pp. 42–51.

Translated by A. Sudakov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Deheuvels, P., Nevzorov, V.B. Records in the Fα-scheme. II. Limit laws. J Math Sci 88, 29–35 (1998). https://doi.org/10.1007/BF02363259

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02363259

Keywords

Search

Navigation