Relationships among classes of spherical matrix distributions

Anderson, T. W.An Introduction to Multivariate Statistical Analysis, John Wiley and Sons, New York 1958.

Anderson, T. W. and Fang, K. T., Distributions of quadratic forms and Cochran's Theorem for elliptically contoured distributions and their applications, Technical Report No. 53, ONR Contract N00014-75-C-0442, Department of Statistics, Stanford University, Stanford, California 1982.

Anderson, T. W. and Fang, K. T., On the theory of multivariate elliptically contoured distributions and applications, Technical Report No. 54 ONR Contract No00014-75-C-0442, Department of Statistics, Stanford University, Stanford, California 1982.

Anderson, T. W. and Fang, K. T., Maximum likelihood estimators and likelihood ratio criteria for multivariate elliptically contoured distributions, Technical Report No. 1, ARO Contract DAAG29-82-K-0156, Department of Statistics, Stanford University, Stanford, California 1982.

Cambanis, S., Huang, S. and Simons, G., On the theory of elliptically contoured distributions,Journal of Multivariate Analysis,11 (1981), 368–385.

Chmielewski, M. A., Invariant scale matrix hypothesis tests under elliptical symmetry,Journal of Multivariate Analysis,10 (1980), 343–350.

Dawid, A. P., Spherical matrix distributions and a multivariate model,Journal of the Royal Statistical Society, B,39 (1977), 254–261.

Dawid, A. P., Extendibility of spherical matrix distributions,Journal of Multivariate Analysis,8 (1978), 559–566.

Fraser, D. A. S. and Ng, K. W., Multivariate regression analysis with spherical error,Multivariate Analysis 5 (P. R. Krishnaiah, Ed.), 369–386, North-Holland, New York 1980.

Jensen, D. R. and Good, I. J., Invariant distributions associated with matrix laws under structural symmetry,Journal of the Royal Statistical Society, B,43 (1981), 327–332.

Kariya, T., Robustness of multivariate tests,The Annals of Statistics,9 (1981), 1267–1275.

Kariya, T., A robustness property of Hotelling'sT 2-problem,The Annals of Statistics,9 (1981), 210–214.

Kariya, T. and Eaton, M. L., Robust tests for spherical symmetry,The Annals of Statistics,5 (1977), 206–215.

Kelker, D., Distribution theory of spherical distributions and location scale parameter generalization,Sankhya A,32 (1970), 419–430.

Srivastava, M. S. and Khatri, C. G., An Introduction to Multivariate Statistics, North-Holland, New York 1979.

Zhang, Y. and Fang, K. T.,An Introduction to Multivariate Analysis, Science Press, Beijing 1982.