Advanced Multivariate Statistics with Matrices

1. Front Matter

   Pages i-xv

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2. Basic Matrix Theory and Linear Algebra

   Pages 1-170

3. Multivariate Distributions

   Pages 171-275

4. Distribution Expansions

   Pages 277-354

5. Multivariate Linear Models

   Pages 355-472

6. Back Matter

   Pages 473-489

   PDF

The book presents important tools and techniques for treating problems in m- ern multivariate statistics in a systematic way. The ambition is to indicate new directions as well as to present the classical part of multivariate statistical analysis in this framework. The book has been written for graduate students and statis- cians who are not afraid of matrix formalism. The goal is to provide them with a powerful toolkit for their research and to give necessary background and deeper knowledge for further studies in di?erent areas of multivariate statistics. It can also be useful for researchers in applied mathematics and for people working on data analysis and data mining who can ?nd useful methods and ideas for solving their problems. Ithasbeendesignedasatextbookforatwosemestergraduatecourseonmultiva- ate statistics. Such a course has been held at the Swedish Agricultural University in 2001/02. On the other hand, it can be used as material for series of shorter courses. In fact, Chapters 1 and 2 have been used for a graduate course ”Matrices in Statistics” at University of Tartu for the last few years, and Chapters 2 and 3 formed the material for the graduate course ”Multivariate Asymptotic Statistics” in spring 2002. An advanced course ”Multivariate Linear Models” may be based on Chapter 4. A lot of literature is available on multivariate statistical analysis written for di?- ent purposes and for people with di?erent interests, background and knowledge.

• Matrix
• Matrix Theory
• Multivariate statistics
• brandonwiskunde
• distribution
• linear algebra

From the reviews of the first edition:

"This book deals with applications for matrices for the study of distributions of statistics arising in multivariate statistical analysis. … The book is well-written and, for a serious student or researcher interested in applications of matrices to multivariate statistical analysis, I recommend this book strongly." (B. L. S. Prakasa Rao, Zentralblatt MATH, Vol. 1079, 2006)

• Centre for Mathematics and Computer Science, Amsterdam, The Netherlands

  M. Hazewinkel

• University of Tartu, Tartu, Estonia

  Tõnu Kollo

• Swedish University of Agricultural Sciences, Uppsala, Sweden

  Dietrich Rosen

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