Skip to main content
Log in

The set-compound one-stage estimation in the nonregular family of distributions over the interval [θ, θ+1)

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

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.

References

  1. Breiman, L. (1968).Probability, Addison-Wesley.

  2. Feller, W. (1971).An Introduction to Probability Theory and its Applications Volume II (2nd ed.), Wiley, New York

    MATH  Google Scholar 

  3. Ferguson, T. S. (1967).Mathematical Statistics and a Decision Theoretic Approach, Academic Press, New York.

    MATH  Google Scholar 

  4. Fox, R. (1968). Contribution to compound decision theory and empirical Bayes squarederror loss estimation, RM-214, Department of Statistics and Probability, Michigan State University.

  5. Loéve, Michel (1963).Probability Theory (3rd ed.), Van Nostrand, Princeton.

    MATH  Google Scholar 

  6. Nogami, Y. (1975). A non-regular squared-error loss set-compound estimation problem, RM-345, Department of Statistics and Probability, Michigan State University.

  7. Nogami, Y. (1978). The set-compound one-stage estimation in the nonregular family of distributions over the interval (0, θ),Ann. Inst. Statist. Math.,30, A, 35–43.

    Article  MathSciNet  Google Scholar 

  8. Nogami, Y. (1979). Thek-extended set-compound estimation problem in a nonregular family of distributions over [θ, θ+1),Ann. Inst. Statist. Math.,31, A, 169–176.

    Article  MathSciNet  Google Scholar 

  9. Singh, Radhey S. (1974). Estimation of derivatives of average of μ-densities and sequence-compound estimation in exponential families, RM-318, Department of Statistics and Probability, Michigan State University

  10. Wahba, Grace (1975). Optimal convergence properties of variable knot, kernel, and orthogonal series methods for density estimation,Ann. Statist.,3, 15–29.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The word “nonregular” was quoted from Ferguson ([3], p. 130).

About this article

Cite this article

Nogami, Y. The set-compound one-stage estimation in the nonregular family of distributions over the interval [θ, θ+1). Ann Inst Stat Math 33, 67–80 (1981). https://doi.org/10.1007/BF02480920

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02480920

Keywords

Navigation