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Bilinear Forms and Zonal Polynomials : Lecture Notes in Statistics - A. M. Mathai

Bilinear Forms and Zonal Polynomials

Lecture Notes in Statistics

Paperback Published: 19th May 1995
ISBN: 9780387945224
Number Of Pages: 376

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The book deals with bilinear forms in real random vectors and their generalizations as well as zonal polynomials and their applications in handling generalized quadratic and bilinear forms. The book is mostly self-contained. It starts from basic principles and brings the readers to the current research level in these areas. It is developed with detailed proofs and illustrative examples for easy readability and self-study. Several exercises are proposed at the end of the chapters. The complicated topic of zonal polynomials is explained in detail in this book. The book concentrates on the theoretical developments in all the topics covered. Some applications are pointed out but no detailed application to any particular field is attempted. This book can be used as a textbook for a one-semester graduate course on quadratic and bilinear forms and/or on zonal polynomials. It is hoped that this book will be a valuable reference source for graduate students and research workers in the areas of mathematical statistics, quadratic and bilinear forms and their generalizations, zonal polynomials, invariant polynomials and related topics, and will benefit statisticians, mathematicians and other theoretical and applied scientists who use any of the above topics in their areas. Chapter 1 gives the preliminaries needed in later chapters, including some Jacobians of matrix transformations. Chapter 2 is devoted to bilinear forms in Gaussian real ranĀ­ dom vectors, their properties, and techniques specially developed to deal with bilinear forms where the standard methods for handling quadratic forms become complicated.

Preface
Preliminaries
Quadratic and Bilinear Forms in Normal Vectors
Quadratic and Bilinear Forms in Elliptically Contoured Distributions
Zonal Polynomials
Generalized Quadratic Forms
Appendix: Invariant Polynomials
Bibliography
Glossary of Symbols
Author Index
Subject Index
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387945224
ISBN-10: 0387945229
Series: Lecture Notes in Statistics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 376
Published: 19th May 1995
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 2.06
Weight (kg): 0.55

Earn 363 Qantas Points
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