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Titlebook: Bilinear Forms and Zonal Polynomials; A. M. Mathai,Serge B. Provost,Takesi Hayakawa Book 1995 Springer-Verlag New York, Inc. 1995 Likeliho

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期刊全称Bilinear Forms and Zonal Polynomials
影响因子2023A. M. Mathai,Serge B. Provost,Takesi Hayakawa
视频video
学科分类Lecture Notes in Statistics
图书封面Titlebook: Bilinear Forms and Zonal Polynomials;  A. M. Mathai,Serge B. Provost,Takesi Hayakawa Book 1995 Springer-Verlag New York, Inc. 1995 Likeliho
影响因子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 t
Pindex Book 1995
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978-0-387-94522-4Springer-Verlag New York, Inc. 1995
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https://doi.org/10.1057/9780230623217For the study of generalized quadratic forms and bilinear forms we need the Jacobians associated with certain matrix transformations, properties of multivariate normal distribution, matrix-variate gamma and beta functions and hypergeometric functions. A brief outline of these will be given in this chapter.
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Preliminaries,For the study of generalized quadratic forms and bilinear forms we need the Jacobians associated with certain matrix transformations, properties of multivariate normal distribution, matrix-variate gamma and beta functions and hypergeometric functions. A brief outline of these will be given in this chapter.
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Bilinear Forms and Zonal Polynomials978-1-4612-4242-0Series ISSN 0930-0325 Series E-ISSN 2197-7186
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