Extension of the normal theory to spherical families

  • Rashid Ahmad


This paper extends the normal theory results for multivariate linear model to spherical families. The class ofp-dimensional spherical distributions contains the class of allp-dimensional normal distributions. In particular it is shown that the test statistic has a “Wishart-type” distribution for this larger class of spherical distributions.


Normal Theory Sample Covariance Matrix National Science Foundation Grant Wishart Distribution Multivariate Linear Model 
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Copyright information

© Springer 1972

Authors and Affiliations

  • Rashid Ahmad
    • 1
  1. 1.The University of Wisconsin-MilwaukeeUSA

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