Erschienen: 19.05.1995 Abbildung von Mathai / Provost / Hayakawa | Bilinear Forms and Zonal Polynomials | 1995 | 102

Mathai / Provost / Hayakawa

Bilinear Forms and Zonal Polynomials

lieferbar ca. 10 Tage als Sonderdruck ohne Rückgaberecht

ca. 106,99 €

inkl. Mwst.

1995. Buch. xii, 376 S. Bibliographien. Softcover

Springer. ISBN 978-0-387-94522-4

Format (B x L): 15,5 x 23,5 cm

Gewicht: 1210 g

In englischer Sprache

Das Werk ist Teil der Reihe: Lecture Notes in Statistics; 102

Produktbeschreibung

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.

Gesamtwerk

Die 8. Auflage ist wieder auf sechs Bände angelegt. Darin finden sich übersichtlich und in systematischer Gliederung Vertragsmuster aus der Feder erfahrener Experten. Jedem dieser Muster folgen Anmerkungen, mit denen der dem Vertragsentwurf zu Grunde liegende Sachverhalt und die Gründe für die Wahl des spezifischen Formulars erläutert werden.

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