TY  - BOOK
AU  - Mathai,Arak M.
AU  - Provost,Serge B.
AU  - Haubold,Hans J.
ED  - SpringerLink (Online service)
TI  - Multivariate Statistical Analysis in the Real and Complex Domains
SN  - 9783030958640
AV  - QA276-280 
U1  - 519.5 23
PY  - 2022///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematical statistics
KW  - Statistics 
KW  - Multivariate analysis
KW  - System theory
KW  - Mathematical Statistics
KW  - Statistical Theory and Methods
KW  - Multivariate Analysis
KW  - Complex Systems
N1  - 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; Open Access
N2  - This book explores topics in multivariate statistical analysis, relevant in the real and complex domains. It utilizes simplified and unified notations to render the complex subject matter both accessible and enjoyable, drawing from clear exposition and numerous illustrative examples. The book features an in-depth treatment of theory with a fair balance of applied coverage, and a classroom lecture style so that the learning process feels organic. It also contains original results, with the goal of driving research conversations forward. This will be particularly useful for researchers working in machine learning, biomedical signal processing, and other fields that increasingly rely on complex random variables to model complex-valued data. It can also be used in advanced courses on multivariate analysis. Numerous exercises are included throughout
UR  - https://doi.org/10.1007/978-3-030-95864-0
ER  -