Matrix Variate Distributions (Record no. 69795)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04932cam a2200529Mu 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780203749289 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220711211859.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180512s2018 flu o 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781351433006 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 1351433008 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781351433013 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 1351433016 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 519.2/4 |
| 100 1# - AUTHOR NAME | |
| Author | Gupta, A. K. |
| 245 10 - TITLE STATEMENT | |
| Title | Matrix Variate Distributions |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Boca Raton : |
| Publisher | Chapman and Hall/CRC, |
| Year of publication | 2018. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (385 p.) |
| 490 1# - SERIES STATEMENT | |
| Series statement | Monographs and Surveys in Pure and Applied Mathematics Ser. ; |
| 500 ## - GENERAL NOTE | |
| Remark 1 | Description based upon print version of record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Cover; Half Title; Title Page; Copyright Page; Dedication; Preface; Table of Contents; 1: PRELIMINARIES; 1.1. INTRODUCTION; 1.2. MATRIX ALGEBRA; 1.3. JACOBIANS OF TRANSFORMATIONS; 1.4. INTEGRATION; 1.5. ZONAL POLYNOMIALS; 1.6. HYPERGEOMETRIC FUNCTIONS OF MATRIX ARGUMENT; 1.7. LAGUERRE POLYNOMIALS; 1.8. GENERALIZED HERMITE POLYNOMIALS; 1.9. NOTION OF RANDOM MATRIX; PROBLEMS; 2: MATRIX VARIATE NORMAL DISTRIBUTION; 2.1. INTRODUCTION; 2.2. DENSITY FUNCTION; 2.3. PROPERTIES; 2.4. SINGULAR MATRIX VARIATE NORMAL DISTRIBUTION; 2.5. SYMMETRIC MATRIX VARIATE NORMAL DISTRIBUTION |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 4.7. NONCENTRAL MATRIX VARIATE t-DISTRIBUTION4.8. DISTRIBUTION OF QUADRATIC FORMS; PROBLEMS; 5: MATRIX VARIATE BETA DISTRIBUTIONS; 5.1. INTRODUCTION; 5.2. DENSITY FUNCTIONS; 5.3. PROPERTIES; 5.4. RELATED DISTRIBUTIONS; 5.5. NONCENTRAL MATRIX VARIATE BETA DISTRIBUTION; PROBLEMS; 6: MATRIX VARIATE DIRICHLET DISTRIBUTIONS; 6.1. INTRODUCTION; 6.2. DENSITY FUNCTIONS; 6.3. PROPERTIES; 6.4. RELATED DISTRIBUTIONS; 6.5. NONCENTRAL MATRIX VARIATE DIRICHLET DISTRIBUTIONS; PROBLEMS; 7: DISTRIBUTION OF QUADRATIC FORMS; 7.1. INTRODUCTION; 7.2. DENSITY FUNCTION; 7.3. PROPERTIES |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 7.4. FUNCTIONS OF QUADRATIC FORMS7.5. SERIES REPRESENTATION OF THE DENSITY; 7.6. NONCENTRAL DENSITY FUNCTION; 7.7. EXPECTED VALUES; 7.8. WISHARTNESS AND INDEPENDENCE OF QUADRATIC FORMS OF THE TYPE X A X'; 7.9. WISHARTNESS AND INDEPENDENCE OF QUADRATIC FORMS OF THE TYPE XAX' + 1/2(LX' + XL') + C; 7.10. WISHARTNESS AND INDEPENDENCE OF QUADRATIC FORMS OF THE TYPE XAX' + L1X' + XL2' + C; PROBLEMS; 8: MISCELLANEOUS DISTRIBUTIONS; 8.1. INTRODUCTION; 8.2. UNIFORM DISTRIBUTION ON STIEFEL MANIFOLD; 8.3. VON MISES-FISHER DISTRIBUTION; 8.4. BINGHAM MATRIX DISTRIBUTION |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 8.5. GENERALIZED BINGHAM-VON MISES MATRIX DISTRIBUTION8.6. MANIFOLD NORMAL DISTRIBUTION; 8.7. MATRIX ANGULAR CENTRAL GAUSSIAN DISTRIBUTION; 8.8. BIMATRIX WISHART DISTRIBUTION; 8.9. BETA-WISHART DISTRIBUTION; 8.10. CONFLUENT HYPERGEOMETRIC FUNCTION KIND 1 DISTRIBUTION; 8.11. CONFLUENT HYPERGEOMETRIC FUNCTION KIND 2 DISTRIBUTION; 8.12. HYPERGEOMETRIC FUNCTION DISTRIBUTIONS; 8.13. GENERALIZED HYPERGEOMETRIC FUNCTION DISTRIBUTIONS; 8.14. COMPLEX MATRIX VARIATE DISTRIBUTIONS; PROBLEMS; 9: GENERAL FAMILIES OF MATRIX VARIATE DISTRIBUTIONS; 9.1. INTRODUCTION |
| 500 ## - GENERAL NOTE | |
| Remark 1 | 9.2. MATRIX VARIATE LIOUVILLE DISTRIBUTIONS |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | Useful in physics, economics, psychology, and other fields, random matrices play an important role in the study of multivariate statistical methods. Until now, however, most of the material on random matrices could only be found scattered in various statistical journals. Matrix Variate Distributions gathers and systematically presents most of the recent developments in continuous matrix variate distribution theory and includes new results.After a review of the essential background material, the authors investigate the range of matrix variate distributions, including:matrix variate normal distributionWishart distributionMatrix variate t-distributionMatrix variate beta distributionF-distributionMatrix variate Dirichlet distributionMatrix quadratic formsWith its inclusion of new results, Matrix Variate Distributions promises to stimulate further research and help advance the field of multivariate statistical analysis. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Nagar, D. K. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.taylorfrancis.com/books/9780203749289 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 336 ## - | |
| -- | text |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | rdacarrier |
| 588 ## - | |
| -- | OCLC-licensed vendor bibliographic record. |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | MATHEMATICS / Applied. |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | MATHEMATICS / Probability & Statistics / General. |
| 938 ## - | |
| -- | Taylor & Francis |
| -- | TAFR |
| -- | 9780203749289 |
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