# Advanced Multivariate Statistics with Matrices

• Tõnu Kollo
• Dietrich von Rosen
• M. Hazewinkel
Book

Part of the Mathematics and Its Applications book series (MAIA, volume 579)

1. Front Matter
Pages i-xv
2. Pages 1-170
3. Pages 171-275
4. Pages 277-354
5. Pages 355-472
6. Back Matter
Pages 473-489

### Introduction

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.

### Keywords

Matrix Matrix Theory Multivariate statistics brandonwiskunde distribution linear algebra

#### Authors and affiliations

• Tõnu Kollo
• 1
• Dietrich von Rosen
• 2
1. 1.University of TartuTartuEstonia
2. 2.Swedish University of Agricultural SciencesUppsalaSweden

### Editors and affiliations

• M. Hazewinkel
• 1
1. 1.Centre for Mathematics and Computer ScienceAmsterdamThe Netherlands

### Bibliographic information

• DOI https://doi.org/10.1007/1-4020-3419-9