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Advanced Multivariate Statistics with Matrices - Softcover

 
9789048103089: Advanced Multivariate Statistics with Matrices

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Synopsis

This book presents the authors' personal selection of topics in multivariate statistical analysis with an emphasis on tools and techniques . Topics included range from definitions of multivariate moments, multivariate distributions, asymptotic distributions of commonly used statistics and density approximations to a modern treatment of multivariate linear models. The theory used is based on matrix algebra and linear spaces and applies lattice theory in a systematic way. Many of the results are obtained by utilizing matrix derivatives which in turn are built up from the Kronecker product and vec-operator. The matrix normal, Wishart and elliptical distributions are studied in detail. In particular, several moment relations are given. Together with the derivatives of density functions, formulae are presented for density approximations, generalizing classical Edgeworth expansions. The asymptotic distributions of many commonly used statistics are also derived. In the final part of the book the Growth Curve model and its various extensions are studied. The book will be of particular interest to researchers but could also be appropriate as a text-book for graduate courses on multivariate analysis or matrix algebra.

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Other Popular Editions of the Same Title

9781402034183: Advanced Multivariate Statistics with Matrices (Mathematics and Its Applications, 579)

Featured Edition

ISBN 10:  1402034180 ISBN 13:  9781402034183
Publisher: Springer, 2005
Hardcover