62Hxx Multivariate analysis
This subtopic introduces the core ideas in multivariate analysis, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.
Specific topics
62H05 Characterization and structure theory for multivariate distributions
Overview
Characterization and structure theory for multivariate distributions. This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks
62H10 Multivariate distributions and inference
Overview
Multivariate distributions and inference. This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks
62H11 Directional data; spatial statistics
Overview
Directional data; spatial statistics. This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks
62H12 Estimation in multivariate analysis
Overview
Estimation in multivariate analysis. This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks
62H15 Hypothesis testing in multivariate analysis
Overview
Hypothesis testing in multivariate analysis. This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks
62H17 Contingency tables
Overview
Contingency tables. This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks
62H20 Measures of association (correlation, canonical correlation, etc.)
Overview
Measures of association (correlation, canonical correlation, etc.). This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks
62H22 Probabilistic graphical models
Overview
Probabilistic graphical models. This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks
62H25 Factor analysis and principal components; correspondence analysis
Overview
Factor analysis and principal components; correspondence analysis. This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks
62H30 Classification and discrimination; cluster analysis
Overview
Classification and discrimination; cluster analysis. This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks
62H35 Image analysis in multivariate analysis
Overview
Image analysis in multivariate analysis. This topic studies multivariate analysis, including dependence structures, high-dimensional summaries, and matrix-based inference.
Related Wikipedia Page
Wikipedia: Multivariate statistics
Useful Links
Key Ideas
- joint distribution and dependence modeling
- dimension reduction and latent structure
- matrix methods for inference
Typical Uses
Used for simultaneous analysis of multiple correlated variables and structure extraction.
Applications
- Omics and high-dimensional science
- Finance and portfolio analytics
- Pattern recognition and classification
References
Recommended Textbooks