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A First Course in Multivariate Statistics

  • Textbook
  • © 1997

Overview

Authors:
  1. Bernard Flury

    1. Department of Mathematics, Indiana University, Bloomington, USA

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  • Begins at the elementary level, presenting the first principles of multivariate distributions *
  • Includes cutting-edge topics such as the EM algorithm and principal component analysis * Examples from biology, anthropology, chemistry, and other areas are worked out in detail *
  • The book contains a wealth of exercises, ranging from easy to advanced * Extremely thorough coverage of the topic
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Why Multivariate Statistics?

    • Bernard Flury
    Pages 1-22

  3. Joint Distribution of Several Random Variables

    • Bernard Flury
    Pages 23-169

  4. The Multivariate Normal Distribution

    • Bernard Flury
    Pages 171-207

  5. Parameter Estimation

    • Bernard Flury
    Pages 209-278

  6. Discrimination and Classification, Round 1

    • Bernard Flury
    Pages 279-374

  7. Statistical Inference for Means

    • Bernard Flury
    Pages 375-452

  8. Discrimination and Classification, Round 2

    • Bernard Flury
    Pages 453-562

  9. Linear Principal Component Analysis

    • Bernard Flury
    Pages 563-637

  10. Normal Mixtures

    • Bernard Flury
    Pages 639-686

  11. Back Matter

    Pages 687-715
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Keywords

About this book

My goal in writing this book has been to provide teachers and students of multi­ variate statistics with a unified treatment ofboth theoretical and practical aspects of this fascinating area. The text is designed for a broad readership, including advanced undergraduate students and graduate students in statistics, graduate students in bi­ ology, anthropology, life sciences, and other areas, and postgraduate students. The style of this book reflects my beliefthat the common distinction between multivariate statistical theory and multivariate methods is artificial and should be abandoned. I hope that readers who are mostly interested in practical applications will find the theory accessible and interesting. Similarly I hope to show to more mathematically interested students that multivariate statistical modelling is much more than applying formulas to data sets. The text covers mostly parametric models, but gives brief introductions to computer-intensive methods such as the bootstrap and randomization tests as well. The selection of material reflects my own preferences and views. My principle in writing this text has been to restrict the presentation to relatively few topics, but cover these in detail. This should allow the student to study an area deeply enough to feel comfortable with it, and to start reading more advanced books or articles on the same topic.

Reviews

 

From a review:

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

"... is actually a very unique book that differs considerably from other multivariate texts. Flury should be applauded for his intention and effort to produce a new type of multivariate book that is neither a comprehensive theoretical treatise nor an encyclopedic methods cookbook. ... it is a welcome addition to the multivariate statistics literature. This is a well-written book with vivid and lively discussions."

Authors and Affiliations

  • Department of Mathematics, Indiana University, Bloomington, USA

    Bernard Flury

Bibliographic Information

  • Book Title: A First Course in Multivariate Statistics

  • Authors: Bernard Flury

  • Series Title: Springer Texts in Statistics

  • DOI: https://doi.org/10.1007/978-1-4757-2765-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-387-98206-9Published: 15 August 1997

  • Softcover ISBN: 978-1-4419-3113-9Published: 24 November 2010

  • eBook ISBN: 978-1-4757-2765-4Published: 09 March 2013

  • Series ISSN: 1431-875X

  • Series E-ISSN: 2197-4136

  • Edition Number: 1

  • Number of Pages: XV, 715

  • Number of Illustrations: 20 b/w illustrations

  • Topics: Probability Theory and Stochastic Processes, Statistical Theory and Methods

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