Description

Book Synopsis
Aspects of Multivariate Statistical Theory presents a classical mathematical treatment of the techniques, distributions, and inferences based on multivariate normal distribution.

Table of Contents
Tables.

Commonly Used Notation.

1. The Multivariate Normal and Related Distributions.

2. Jacobians, Exterior Products, Kronecker Products, and Related Topics.

3. Samples from a Multivariate Normal Distribution, and the Wishart and Multivariate BETA Distributions.

4. Some Results Concerning Decision-Theoretic Estimation of the Parameters of a Multivariate Normal Distribution.

5. Correlation Coefficients.

6. Invariant Tests and Some Applications.

7. Zonal Polynomials and Some Functions of Matrix Argument.

8. Some Standard Tests on Covariance Matrices and Mean Vectors.

9. Principal Components and Related Topics.

10. The Multivariate Linear Model.

11. Testing Independence Between k Sets of Variables and Canonical Correlation Analysis.

Appendix: Some Matrix Theory.

Bibliography.

Index.

Aspects of Multivariate Statistical Theory

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      Book details

      Publisher John Wiley & Sons Inc
      Published 25 October 2005
      ISBN-13 9780471769859
      978-0471769859
      ISBN-10 0471769851

      Description

      Book Synopsis
      Aspects of Multivariate Statistical Theory presents a classical mathematical treatment of the techniques, distributions, and inferences based on multivariate normal distribution.

      Table of Contents
      Tables.

      Commonly Used Notation.

      1. The Multivariate Normal and Related Distributions.

      2. Jacobians, Exterior Products, Kronecker Products, and Related Topics.

      3. Samples from a Multivariate Normal Distribution, and the Wishart and Multivariate BETA Distributions.

      4. Some Results Concerning Decision-Theoretic Estimation of the Parameters of a Multivariate Normal Distribution.

      5. Correlation Coefficients.

      6. Invariant Tests and Some Applications.

      7. Zonal Polynomials and Some Functions of Matrix Argument.

      8. Some Standard Tests on Covariance Matrices and Mean Vectors.

      9. Principal Components and Related Topics.

      10. The Multivariate Linear Model.

      11. Testing Independence Between k Sets of Variables and Canonical Correlation Analysis.

      Appendix: Some Matrix Theory.

      Bibliography.

      Index.

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