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.

Presents most of the developments in continuous matrix variate distribution theory. This work investigates the range of matrix variate distributions, including: matrix variate normal distribution; Wishart distribution; Matrix variate t-distribution; Matrix variate beta distribution; F-distribution; and, Matrix variate Dirichlet distribution.

"This book is about probability distributions for random matrices." Biometrics, Vol. 56, No. 3, September 2000 "I am sure that the book will be welcomed by specialists, because of its systematic and thorough coverage of the different distributions." Biometrics, Vol. 56, No. 3, September 2000Promo Copy