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A First Course in Multivariate Statistics

✍ Scribed by Bernard Flury (auth.)


Publisher
Springer-Verlag New York
Year
1997
Tongue
English
Leaves
722
Series
Springer Texts in Statistics
Edition
1
Category
Library

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✦ Synopsis


My goal in writing this book has been to provide teachers and students of multiΒ­ 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 biΒ­ 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.

✦ Table of Contents


Front Matter....Pages i-xv
Why Multivariate Statistics?....Pages 1-22
Joint Distribution of Several Random Variables....Pages 23-169
The Multivariate Normal Distribution....Pages 171-207
Parameter Estimation....Pages 209-278
Discrimination and Classification, Round 1....Pages 279-374
Statistical Inference for Means....Pages 375-452
Discrimination and Classification, Round 2....Pages 453-562
Linear Principal Component Analysis....Pages 563-637
Normal Mixtures....Pages 639-686
Back Matter....Pages 687-715

✦ Subjects


Statistics, general


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