ABSTRACT

Useful in physics, economics, psychology, and other fields, random matrices play an important role in the study of multivariate statistical methods. Until now, however, most of the material on random matrices could only be found scattered in various statistical journals. Matrix Variate Distributions gathers and systematically presents most of the recent developments in continuous matrix variate distribution theory and includes new results.
After a review of the essential background material, the authors investigate the range of matrix variate distributions, including:

  • matrix variate normal distribution
  • Wishart distribution
  • Matrix variate t-distribution
  • Matrix variate beta distribution
  • F-distribution
  • Matrix variate Dirichlet distribution
  • Matrix quadratic forms
    With its inclusion of new results, Matrix Variate Distributions promises to stimulate further research and help advance the field of multivariate statistical analysis.
  • chapter 1|53 pages

    Preliminaries

    chapter 2|32 pages

    Matrix Variate Normal Distribution

    chapter 3|45 pages

    Wishart Distribution

    chapter 4|32 pages

    Matrix Variate t-Distribution

    chapter 5|34 pages

    Matrix Variate Beta Distributions

    chapter 6|26 pages

    Matrix Variate Dirichlet Distributions

    chapter 7|54 pages

    Distribution of Quadratic Forms

    chapter 8|32 pages

    Miscellaneous Distributions