Modern Multivariate Statistical Techniques

Regression, Classification, and Manifold Learning

  • Alan J. Izenman

Part of the Springer Texts in Statistics book series (STS)

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Alan Julian Izenman
    Pages 1-16
  3. Alan Julian Izenman
    Pages 17-44
  4. Alan Julian Izenman
    Pages 45-74
  5. Alan Julian Izenman
    Pages 75-106
  6. Alan Julian Izenman
    Pages 107-158
  7. Alan Julian Izenman
    Pages 159-194
  8. Alan Julian Izenman
    Pages 195-236
  9. Alan Julian Izenman
    Pages 237-280
  10. Alan Julian Izenman
    Pages 281-314
  11. Alan Julian Izenman
    Pages 315-368
  12. Alan Julian Izenman
    Pages 369-406
  13. Alan Julian Izenman
    Pages 407-462
  14. Alan Julian Izenman
    Pages 463-504
  15. Alan Julian Izenman
    Pages 505-550
  16. Alan Julian Izenman
    Pages 551-596
  17. Alan Julian Izenman
    Pages 633-666
  18. Back Matter
    Pages 667-733

About this book

Introduction

Remarkable advances in computation and data storage and the ready availability of huge data sets have been the keys to the growth of the new disciplines of data mining and machine learning, while the enormous success of the Human Genome Project has opened up the field of bioinformatics.

These exciting developments, which led to the introduction of many innovative statistical tools for high-dimensional data analysis, are described here in detail. The author takes a broad perspective; for the first time in a book on multivariate analysis, nonlinear methods are discussed in detail as well as linear methods. Techniques covered range from traditional multivariate methods, such as multiple regression, principal components, canonical variates, linear discriminant analysis, factor analysis, clustering, multidimensional scaling, and correspondence analysis, to the newer methods of density estimation, projection pursuit, neural networks, multivariate reduced-rank regression, nonlinear manifold learning, bagging, boosting, random forests, independent component analysis, support vector machines, and classification and regression trees. Another unique feature of this book is the discussion of database management systems.

This book is appropriate for advanced undergraduate students, graduate students, and researchers in statistics, computer science, artificial intelligence, psychology, cognitive sciences, business, medicine, bioinformatics, and engineering. Familiarity with multivariable calculus, linear algebra, and probability and statistics is required. The book presents a carefully-integrated mixture of theory and applications, and of classical and modern multivariate statistical techniques, including Bayesian methods. There are over 60 interesting data sets used as examples in the book, over 200 exercises, and many color illustrations and photographs.

Alan J. Izenman is Professor of Statistics and Director of the Center for Statistical and Information Science at Temple University. He has also been on the faculties of Tel-Aviv University and Colorado State University, and has held visiting appointments at the University of Chicago, the University of Minnesota, Stanford University, and the University of Edinburgh. He served as Program Director of Statistics and Probability at the National Science Foundation and was Program Chair of the 2007 Interface Symposium on Computer Science and Statistics with conference theme of Systems Biology. He is a Fellow of the American Statistical Association.

  

Keywords

Boosting Clustering Factor analysis Latent variable model Linear discriminant analysis Mathematica Projection pursuit Random Forest Support Vector Machine bootstrap aggregating cluster analysis data analysis data mining machine learning multidimensional scaling

Authors and affiliations

  • Alan J. Izenman
    • 1
  1. 1.Department of StatisticsTemple UniversityPhiladelphiaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-78189-1
  • Copyright Information Springer-Verlag New York 2008
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-78188-4
  • Online ISBN 978-0-387-78189-1
  • Series Print ISSN 1431-875X
  • About this book