Skip to main content
SpringerLink
Log in

Asymptotic efficiency of the arithmetic-mean estimator of the unknown mean of a homogeneous random field

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

We consider the estimation of the unknown mean of a homogeneous random field from observations on a system of homothetically expanding regions. We examine the asymptotic behavior of the variance of the arithmetic-mean estimator. The arithmetic-mean estimator is shown to be asymptotically efficient in the class of linear estimators.

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.

Similar content being viewed by others

References

  1. M. I. Yadrenko, Spectral Theory of Random Fields [in Russian], Kiev (1984).

Download references

Author information

Authors and Affiliations

  1. Kiev University, USSR

    S. Bektashov, Dang Dyk Hau & M. I. Yadrenko

Authors
  1. S. Bektashov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dang Dyk Hau
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. I. Yadrenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 66, pp. 106–111, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bektashov, S., Hau, D.D. & Yadrenko, M.I. Asymptotic efficiency of the arithmetic-mean estimator of the unknown mean of a homogeneous random field. J Math Sci 66, 2438–2441 (1993). https://doi.org/10.1007/BF01364980

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01364980

Keywords

Search

Navigation