多変量統計解析入門（第３版）<br>An Introduction to Multivariate Statistical Analysis (Wiley Series in Probability and Statistics) （3RD）

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多変量統計解析入門（第３版）
An Introduction to Multivariate Statistical Analysis (Wiley Series in Probability and Statistics) （3RD）

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  • 製本 Hardcover:ハードカバー版／ページ数 721 p.
  • 言語 ENG
  • 商品コード 9780471360919
  • DDC分類 519.535

基本説明

Perfected over three editions and more than forty years, this field- and classroom-tested reference: Uses the method of maximum likelihood to a large extent to ensure reasonable, and in some cases optimal procedures. Treats all the basic and important topics in multivariate statistics. * Adds two new chapters, along with a number of new sections. * Provides the most methodical, up-to-date information on MV statistics available.
"…suitable for a graduate-level course on multivariate analysis…an important reference on the bookshelves of many scientific researchers and most practicing statisticians." (Journal of the American Statistical Association, September 2004)

Full Description

Perfected over three editions and more than forty years, this field- and classroom-tested reference:
* Uses the method of maximum likelihood to a large extent to ensure reasonable, and in some cases optimal procedures.
* Treats all the basic and important topics in multivariate statistics.
* Adds two new chapters, along with a number of new sections.
* Provides the most methodical, up-to-date information on MV statistics available.

Contents

Preface to the Third Edition. Preface to the Second Edition.

Preface to the First Edition.

1. Introduction.

2. The Multivariate Normal Distribution.

3. Estimation of the Mean Vector and the Covariance Matrix.

4. The Distributions and Uses of Sample Correlation Coefficients.

5. The Generalized T2-Statistic.

6. Classification of Observations.

7. The Distribution of the Sample Covariance Matrix and the Sample Generalized Variance.

8. Testing the General Linear Hypothesis: Multivariate Analysis of Variance

9. Testing Independence of Sets of Variates.

10. Testing Hypotheses of Equality of Covariance Matrices and Equality of Mean Vectors and Covariance Matrices.

11. Principal Components.

12. Cononical Correlations and Cononical Variables.

13. The Distributions of Characteristic Roots and Vectors.

14. Factor Analysis.

15. Pattern of Dependence; Graphical Models.

Appendix A: Matrix Theory.

Appendix B: Tables.

References.

Index.