Takesi Hayakawa's Books

Bilinear Forms and Zonal Polynomials

By: Arak M. Mathai,Serge B. Provost,Takesi Hayakawa

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Bilinear Forms and Zonal Polynomials

By: Arak M. Mathai,Serge B. Provost,Takesi Hayakawa

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 ran dom vectors, their properties, and techniques specially developed to deal with bilinear forms where the standard methods for handling quadratic forms become complicated.

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Page Count

385

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461242428

ISBN 13

9781461242420

Sociolinguistics in Japanese Contexts

By: Takesi Sibata

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Sociolinguistics in Japanese Contexts

By: Takesi Sibata

The Contributions to the Sociology of Language series features publications dealing with sociolinguistic theory, methods, findings and applications. It addresses the study of language in society in its broadest sense, as a truly international and interdisciplinary field in which various approaches – theoretical and empirical – supplement and complement each other. The series invites the attention of scholars interested in language in society from a broad range of disciplines – anthropology, education, history, linguistics, political science, and sociology. To discuss your book idea or submit a proposal, please contact Natalie Fecher.

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Page Count

508

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110821303

ISBN 13

9783110821307

Bilinear Forms and Zonal Polynomials

By: Arak M. Mathai,Serge B. Provost,Takesi Hayakawa

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Bilinear Forms and Zonal Polynomials

By: Arak M. Mathai,Serge B. Provost,Takesi Hayakawa

This monograph deals with bilinear forms in real random vectors and their generalizations. The authors show how zonal polynomials may be used to analyze such forms and thus to apply these concepts in a variety of statistical settings. Assuming a graduate-level background in statistics, this account is self-contained and each chapter concludes with exercises making the book ideal for a researcher seeking a straight-forward introduction to this topic. Chapter 1 covers preliminaries including a treatment of the Jacobians of matrix transformation and chapter 2 then introduces bilinear forms in Gaussian random real vectors. Chapter 3 covers quadratic forms in elliptically contoured and spherically symmetric vectors whilst chapters 4 and 5 introduce and then apply the theory of zonal polynomials to the theory of distributions of generalized quadratic and bilinear forms.

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Page Count

396

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387945229

ISBN 13

9780387945224

Book's by Takesi Hayakawa

Bilinear Forms and Zonal Polynomials

Bilinear Forms and Zonal Polynomials

Sociolinguistics in Japanese Contexts

Sociolinguistics in Japanese Contexts

Bilinear Forms and Zonal Polynomials

Bilinear Forms and Zonal Polynomials

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