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1. Mathematical Preliminaries
2. The Univariate Gaussian and Related Distribution
3. Multivariate Gaussian and Related Distributions
4. The Matrix-variate Gaussian Distribution
5. Matrix-variate Gamma and Beta Distributions
6. Hypothesis Testing and Null Distributions
7. Rectangular Matrix-variate Distributions
8. Distributions of Eigenvalues and Eigenvectors
9. Principal Component Analysis
10. Canonical Correlation Analysis
11. Factor Analysis
12. Classification Problems
13. Multivariate Analysis of Variance (MANOVA)
14. Profile Analysis and Growth Curves
15. Cluster Analysis and Correspondence Analysis.

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