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Introduction to multivariate analysis :

Konishi, Sadanori,

Introduction to multivariate analysis : linear and nonlinear modeling / Sadanori Konishi. - 1st - xxv, 312 p. : ill. ; 22 cm. - Chapman & Hall/CRC texts in statistical science series .

Academic

Includes bibliographical references and index.

Introduction; Regression Modeling; Classification and Discrimination; Dimension Reduction; Clustering Linear Regression Models; Relationship between Two Variables; Relationships Involving Multiple Variables; Regularization Nonlinear Regression Models; Modeling Phenomena; Modeling by Basis Functions; Basis Expansions; Regularization Logistic Regression Models; Risk Prediction Models; Multiple Risk Factor Models; Nonlinear Logistic Regression Models Model Evaluation and Selection; Criteria Based on Prediction Errors; Information Criteria; Bayesian Model Evaluation Criterion Discriminant Analysis; Fisher’s Linear Discriminant Analysis; Classification Based on Mahalanobis Distance; Variable Selection; Canonical Discriminant Analysis Bayesian Classification; Bayes’ Theorem; Classification with Gaussian Distributions; Logistic Regression for Classification Support Vector Machines; Separating Hyperplane; Linearly Nonseparable Case; From Linear to Nonlinear Principal Component Analysis; Principal Components; Image Compression and Decompression; Singular Value Decomposition; Kernel Principal Component Analysis Clustering; Hierarchical Clustering; Nonhierarchical Clustering; Mixture Models for Clustering Appendix A: Bootstrap Methods ; Appendix B: Lagrange Multipliers ; Appendix C: EM Algorithm Bibliography Index

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Multivariate analysis.

519.535 / KOI