Research and Markets: Comprehensive Examination of High-Dimensional Analysis of Multivariate Methods and their Real-World Applications

DUBLIN--(BUSINESS WIRE)--

Research and Markets (http://www.researchandmarkets.com/research/b7aa32/multivariate_stati) has announced the addition of John Wiley and Sons Ltd's new report "Multivariate Statistics: High-Dimensional and Large-Sample Approximations" to their offering.

A comprehensive examination of high-dimensional analysis of multivariate methods and their real-world applications

Multivariate Statistics: High-Dimensional and Large-Sample Approximations is the first book of its kind to explore how classical multivariate methods can be revised and used in place of conventional statistical tools. Written by prominent researchers in the field, the book focuses on high-dimensional and large-scale approximations and details the many basic multivariate methods used to achieve high levels of accuracy.

The authors begin with a fundamental presentation of the basic tools and exact distributional results of multivariate statistics, and, in addition, the derivations of most distributional results are provided. Statistical methods for high-dimensional data, such as curve data, spectra, images, and DNA microarrays, are discussed. Bootstrap approximations from a methodological point of view, theoretical accuracies in MANOVA tests, and model selection criteria are also presented.

Subsequent chapters feature additional topical coverage including:

• High-dimensional approximations of various statistics
• High-dimensional statistical methods
• Approximations with computable error bound
• Selection of variables based on model selection approach
• Statistics with error bounds and their appearance in discriminant analysis, growth curve models, generalized linear models, profile analysis, and multiple comparison

Each chapter provides real-world applications and thorough analyses of the real data. In addition, approximation formulas found throughout the book are a useful tool for both practical and theoretical statisticians, and basic results on exact distributions in multivariate analysis are included in a comprehensive, yet accessible, format.

Multivariate Statistics is an excellent book for courses on probability theory in statistics at the graduate level. It is also an essential reference for both practical and theoretical statisticians who are interested in multivariate analysis and who would benefit from learning the applications of analytical probabilistic methods in statistics.

Key Topics Covered:

1 Multivariate Normal and Related Distributions.

2 Wishart Distribution.

3 T2- and Lambda-Statistics.

4 Correlation Coefficients.

5 Asymptotic Expansions for Multivariate Basic Statistics.

6 MANOVA Models.

7 Multivariate Regression.

8 Classical and High-Dimensional Tests for Covariance Matrices.

9 Discriminant Analysis.

10 Principal Component Analysis.

11 Canonical Correlation Analysis.

12 Growth Curve Analysis.

13 Theory of Approximation to the Distribution of Scale Mixture.

14 Basic Theory of Approximation to Some Related Distributions.

15 Error Bounds for Approximations of Some Multivariate Tests.

16 Error Bounds for Approximations of Some Other Statistics.

For more information visit http://www.researchandmarkets.com/research/b7aa32/multivariate_stati