Skip to main content
Log in

Some decompositions of spherical distributions

  • Published:
Statistische Hefte Aims and scope Submit manuscript

Abstract

Certain rotationally symmetric or spherical multivariate distributions can be factored into independent components that produce in a natural manner various uniform, chi, triangular chi, root F, triangular root F, t, disguised t, triangular root beta, Wishart and disguised Wishart distributions.

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

  • Anderson, T.W. (1958). An Introduction to Multivariate Statistical Analysis. New York: J. Wiley and Sons.

    MATH  Google Scholar 

  • Dawid, A.P. (1977). Spherical Matrix distributions and a Multivariate Model, J. Roy. Stat. Soc. B.39, 254–261.

    MATH  MathSciNet  Google Scholar 

  • Deemer, Walter L. and Ingram Olkin (1951). “The Jacobians of Certain Matrix Transformations Useful in Multivariate Analysis”, Biometrika38, 345–367.

    MATH  MathSciNet  Google Scholar 

  • Dickey, J.M. (1967). Matricvariate Generalizations of The Multivariate t Distribution And The Inverted Multivariate t Distribution, Annals of Mathematical Statistics38, 511–519.

    Article  MATH  MathSciNet  Google Scholar 

  • Fraser, D.A.S. (1968). The Structure of Inference. New York: J. Wiley and Sons.

    MATH  Google Scholar 

  • Fraser, D.A.S. and K.W. Ng (1977). Inference for the Multivariate Regression Model, Multivariate Analysis IV, ed. Krishnaiah. Amsterdam: North-Holland Publishing Company.

    Google Scholar 

  • Tan, W.Y. and Irwin Guttman (1971). “A Disguished Wishart variable and a related theorem,” J. Roy. Stat. Soc. B,33, 147–152.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported by Canadian N.R.C. Grant A3011;

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bishop, L., Fraser, D.A.S. & Ng, K.W. Some decompositions of spherical distributions. Statistische Hefte 20, 2–21 (1979). https://doi.org/10.1007/BF02932768

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02932768

AMS classification

Key words and phrases

Navigation