Skip to main content
Log in

Minimax invariant prediction regions

  • 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. E. W. Barankin, “Sufficient parameters: Solution of the minimal dimensionality problem,”Ann. Inst. Statist. Math., 12 (1960), 91–118.

    Article  MATH  MathSciNet  Google Scholar 

  2. D. A. S. Fraser and I. Guttman, “Tolerance regions,”Ann. Math. Statist., 27 (1956), 162–179.

    Article  MathSciNet  Google Scholar 

  3. I. Guttman, “Optimum tolerance regions and power when sampling from some non normal universes,”Ann. Math. Statist., 30 (1959), 926–938.

    Article  MathSciNet  Google Scholar 

  4. G. Ishii and H. Kudo, “Tolerance region for missing variables in linear statistical model,”J. Math. Osaka City Univ., 14 (1963), 117–130.

    MathSciNet  Google Scholar 

  5. H. Kudo, “On minimax invariant estimates of the transformation parameter,”Natur. Sci. Rep. Ochanomizu Univ., 6 (1955), 31–73.

    MathSciNet  Google Scholar 

  6. M. Okamoto, “Sufficiency and invariance,” (in Japanese),S. R. Osaka S. A., 8 (1964), 227–231.

    Google Scholar 

  7. C. M. Stein, “Some problems in multivariate analysis,” Part I, (unpublished), 1956.

  8. R. A. Wijsman, “Random orthogonal transformations and their use in some classical distribution problems in multivariate analysis,”Ann. Math. Statist., 28 (1957), 415–423.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Ishii, G. Minimax invariant prediction regions. Ann Inst Stat Math 20, 33–53 (1968). https://doi.org/10.1007/BF02911623

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02911623

Keywords

Navigation