Partial Least Squares Regression
eBook - ePub

Partial Least Squares Regression

and Related Dimension Reduction Methods

  1. 456 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Partial Least Squares Regression

and Related Dimension Reduction Methods

About this book

Partial least squares (PLS) regression is, at its historical core, a black-box algorithmic method for dimension reduction and prediction based on an underlying linear relationship between a possibly vector-valued response and a number of predictors.

Through envelopes, much more has been learned about PLS regression, resulting in a mass of information that allows an envelope bridge that takes PLS regression from a black-box algorithm to a core statistical paradigm based on objective function optimization and, more generally, connects the applied sciences and statistics in the context of PLS. This book focuses on developing this bridge. It also covers uses of PLS outside of linear regression, including discriminant analysis, non-linear regression, generalized linear models and dimension reduction generally.

Key Features:

• Showcases the first serviceable method for studying high-dimensional regressions.

• Provides necessary background on PLS and its origin.

• R and Python programs are available for nearly all methods discussed in the book.

This book can be used as a reference and as a course supplement at the Master's level in Statistics and beyond. It will be of interest to both statisticians and applied scientists.

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Yes, you can access Partial Least Squares Regression by R. Dennis Cook,Liliana Forzani in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. Preface
  8. Notation and Definitions
  9. Authors
  10. List of Figures
  11. List of Tables
  12. 1 Introduction
  13. 2 Envelopes for Regression
  14. 3 PLS Algorithms for Predictor Reduction
  15. 4 Asymptotic Properties of PLS
  16. 5 Simultaneous Reduction
  17. 6 Partial PLS and Partial Envelopes
  18. 7 Linear Discriminant Analysis
  19. 8 Quadratic Discriminant Analysis
  20. 9 Non-linear PLS
  21. 10 The Role of PLS in Social Science Path Analyses
  22. 11 Ancillary Topics
  23. A Proofs of Selected Results
  24. Bibliography
  25. Index