Skip to main content
Log in

Admissible polynomial estimators for quadratic polynomials of normal parameters

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

Abstract

The problem of the statistical estimation of quadratic polynomials of the parameters of the normal law is considered.

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.

Similar content being viewed by others

References

  1. Yu. V. Linnik, Statistical Problems with Nuisance Parameters [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  2. P. Cheng, Q. G. Wu, and G. Y. Li, Admissibility of quadratic estimates of 2-order moment about the origin," Acta Math. Appl. Sinica,6, No. 1, 18–28 (1983).

    Google Scholar 

  3. R. H. Farrell, "On a necessary and sufficient condition for admissibility of estimators when strictly convex loss is used," Ann. Math. Statist.,39, No. 1, 23–28 (1968).

    Google Scholar 

  4. A. L. Rukhin, "Quadratic estimators of quadratic functions of normal parameters," J. Statist. Plann. Inference,15, No. 3, 301–310 (1987).

    Google Scholar 

  5. C. Stein, "Approximation of improper prior measures by prior probability measures," in: Bernoulli, Bayes, Laplace Anniversary Volume, Springer, New York (1965), pp. 217–240.

    Google Scholar 

  6. Q. G. Wu, P. Cheng, and G. Y. Li, "Admissibility of quadratic estimates of error variance in linear models," Sci. Sinica Ser. A,25, No. 2, 113–124 (1982).

    Google Scholar 

Download references

Authors

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 184, pp. 234–247, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rukhin, A.L. Admissible polynomial estimators for quadratic polynomials of normal parameters. J Math Sci 68, 566–576 (1994). https://doi.org/10.1007/BF01254283

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01254283

Keywords

Navigation