Bilinear Forms and Zonal Polynomials:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Lecture Notes in Statistics
102 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XII, 376p) |
| ISBN: | 9781461242420 9780387945224 |
| ISSN: | 0930-0325 |
| DOI: | 10.1007/978-1-4612-4242-0 |
Internformat
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| 245 | 1 | 0 | |a Bilinear Forms and Zonal Polynomials |c by A. M. Mathai, Serge B. Provost, Takesi Hayakawa |
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| 490 | 0 | |a Lecture Notes in Statistics |v 102 |x 0930-0325 | |
| 500 | |a 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 | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Distribution (Probability theory) | |
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Datensatz im Suchindex
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4242-0 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461242420 9780387945224 |
| issn | 0930-0325 |
| language | English |
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| series2 | Lecture Notes in Statistics |
| spelling | Mathai, A. M. Verfasser aut Bilinear Forms and Zonal Polynomials by A. M. Mathai, Serge B. Provost, Takesi Hayakawa New York, NY Springer New York 1995 1 Online-Ressource (XII, 376p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 102 0930-0325 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 Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Bilinearform (DE-588)4138018-6 gnd rswk-swf Zonales Polynom (DE-588)4386588-4 gnd rswk-swf Zufallsvektor (DE-588)4191098-9 gnd rswk-swf Bilinearform (DE-588)4138018-6 s Zufallsvektor (DE-588)4191098-9 s 1\p DE-604 Zonales Polynom (DE-588)4386588-4 s 2\p DE-604 Provost, Serge B. Sonstige oth Hayakawa, Takesi Sonstige oth https://doi.org/10.1007/978-1-4612-4242-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mathai, A. M. Bilinear Forms and Zonal Polynomials Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Bilinearform (DE-588)4138018-6 gnd Zonales Polynom (DE-588)4386588-4 gnd Zufallsvektor (DE-588)4191098-9 gnd |
| subject_GND | (DE-588)4138018-6 (DE-588)4386588-4 (DE-588)4191098-9 |
| title | Bilinear Forms and Zonal Polynomials |
| title_auth | Bilinear Forms and Zonal Polynomials |
| title_exact_search | Bilinear Forms and Zonal Polynomials |
| title_full | Bilinear Forms and Zonal Polynomials by A. M. Mathai, Serge B. Provost, Takesi Hayakawa |
| title_fullStr | Bilinear Forms and Zonal Polynomials by A. M. Mathai, Serge B. Provost, Takesi Hayakawa |
| title_full_unstemmed | Bilinear Forms and Zonal Polynomials by A. M. Mathai, Serge B. Provost, Takesi Hayakawa |
| title_short | Bilinear Forms and Zonal Polynomials |
| title_sort | bilinear forms and zonal polynomials |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Bilinearform (DE-588)4138018-6 gnd Zonales Polynom (DE-588)4386588-4 gnd Zufallsvektor (DE-588)4191098-9 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Bilinearform Zonales Polynom Zufallsvektor |
| url | https://doi.org/10.1007/978-1-4612-4242-0 |
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