Elliptically Contoured Models in Statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1993
|
| Schriftenreihe: | Mathematics and Its Applications
240 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In multivariate statistical analysis, elliptical distributions have recently provided an alternative to the normal model. Most of the work, however, is spread out in journals throughout the world and is not easily accessible to the investigators. Fang, Kotz, and Ng presented a systematic study of multivariate elliptical distributions, however, they did not discuss the matrix variate case. Recently Fang and Zhang have summarized the results of generalized multivariate analysis which include vector as well as the matrix variate distributions. On the other hand, Fang and Anderson collected research papers on matrix variate elliptical distributions, many of them published for the first time in English. They published very rich material on the topic, but the results are given in paper form which does not provide a unified treatment of the theory. Therefore, it seemed appropriate to collect the most important results on the theory of matrix variate elliptically contoured distributions available in the literature and organize them in a unified manner that can serve as an introduction to the subject. The book will be useful for researchers, teachers, and graduate students in statistics and related fields whose interests involve multivariate statistical analysis. Parts of this book were presented by Arjun K Gupta as a one semester course at Bowling Green State University. Some new results have also been included which generalize the results in Fang and Zhang. Knowledge of matrix algebra and statistics at the level of Anderson is assumed. However, Chapter 1 summarizes some results of matrix algebra |
| Beschreibung: | 1 Online-Ressource (X, 327 p) |
| ISBN: | 9789401116466 9789401047197 |
| DOI: | 10.1007/978-94-011-1646-6 |
Internformat
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| 245 | 1 | 0 | |a Elliptically Contoured Models in Statistics |c by A. K. Gupta, T. Varga |
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| 490 | 0 | |a Mathematics and Its Applications |v 240 | |
| 500 | |a In multivariate statistical analysis, elliptical distributions have recently provided an alternative to the normal model. Most of the work, however, is spread out in journals throughout the world and is not easily accessible to the investigators. Fang, Kotz, and Ng presented a systematic study of multivariate elliptical distributions, however, they did not discuss the matrix variate case. Recently Fang and Zhang have summarized the results of generalized multivariate analysis which include vector as well as the matrix variate distributions. On the other hand, Fang and Anderson collected research papers on matrix variate elliptical distributions, many of them published for the first time in English. They published very rich material on the topic, but the results are given in paper form which does not provide a unified treatment of the theory. Therefore, it seemed appropriate to collect the most important results on the theory of matrix variate elliptically contoured distributions available in the literature and organize them in a unified manner that can serve as an introduction to the subject. The book will be useful for researchers, teachers, and graduate students in statistics and related fields whose interests involve multivariate statistical analysis. Parts of this book were presented by Arjun K Gupta as a one semester course at Bowling Green State University. Some new results have also been included which generalize the results in Fang and Zhang. Knowledge of matrix algebra and statistics at the level of Anderson is assumed. However, Chapter 1 summarizes some results of matrix algebra | ||
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Datensatz im Suchindex
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| author | Gupta, A. K. |
| author_facet | Gupta, A. K. |
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| author_sort | Gupta, A. K. |
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| dewey-full | 519.5 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-1646-6 |
| format | Electronic eBook |
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| isbn | 9789401116466 9789401047197 |
| language | English |
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| spelling | Gupta, A. K. Verfasser aut Elliptically Contoured Models in Statistics by A. K. Gupta, T. Varga Dordrecht Springer Netherlands 1993 1 Online-Ressource (X, 327 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 240 In multivariate statistical analysis, elliptical distributions have recently provided an alternative to the normal model. Most of the work, however, is spread out in journals throughout the world and is not easily accessible to the investigators. Fang, Kotz, and Ng presented a systematic study of multivariate elliptical distributions, however, they did not discuss the matrix variate case. Recently Fang and Zhang have summarized the results of generalized multivariate analysis which include vector as well as the matrix variate distributions. On the other hand, Fang and Anderson collected research papers on matrix variate elliptical distributions, many of them published for the first time in English. They published very rich material on the topic, but the results are given in paper form which does not provide a unified treatment of the theory. Therefore, it seemed appropriate to collect the most important results on the theory of matrix variate elliptically contoured distributions available in the literature and organize them in a unified manner that can serve as an introduction to the subject. The book will be useful for researchers, teachers, and graduate students in statistics and related fields whose interests involve multivariate statistical analysis. Parts of this book were presented by Arjun K Gupta as a one semester course at Bowling Green State University. Some new results have also been included which generalize the results in Fang and Zhang. Knowledge of matrix algebra and statistics at the level of Anderson is assumed. However, Chapter 1 summarizes some results of matrix algebra Statistics Economics / Statistics Computer engineering Statistics, general Electrical Engineering Statistics for Business/Economics/Mathematical Finance/Insurance Statistik Wirtschaft Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Elliptische Verteilung (DE-588)4253008-8 gnd rswk-swf Elliptische Verteilung (DE-588)4253008-8 s Multivariate Analyse (DE-588)4040708-1 s 1\p DE-604 Varga, T. Sonstige oth https://doi.org/10.1007/978-94-011-1646-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gupta, A. K. Elliptically Contoured Models in Statistics Statistics Economics / Statistics Computer engineering Statistics, general Electrical Engineering Statistics for Business/Economics/Mathematical Finance/Insurance Statistik Wirtschaft Multivariate Analyse (DE-588)4040708-1 gnd Elliptische Verteilung (DE-588)4253008-8 gnd |
| subject_GND | (DE-588)4040708-1 (DE-588)4253008-8 |
| title | Elliptically Contoured Models in Statistics |
| title_auth | Elliptically Contoured Models in Statistics |
| title_exact_search | Elliptically Contoured Models in Statistics |
| title_full | Elliptically Contoured Models in Statistics by A. K. Gupta, T. Varga |
| title_fullStr | Elliptically Contoured Models in Statistics by A. K. Gupta, T. Varga |
| title_full_unstemmed | Elliptically Contoured Models in Statistics by A. K. Gupta, T. Varga |
| title_short | Elliptically Contoured Models in Statistics |
| title_sort | elliptically contoured models in statistics |
| topic | Statistics Economics / Statistics Computer engineering Statistics, general Electrical Engineering Statistics for Business/Economics/Mathematical Finance/Insurance Statistik Wirtschaft Multivariate Analyse (DE-588)4040708-1 gnd Elliptische Verteilung (DE-588)4253008-8 gnd |
| topic_facet | Statistics Economics / Statistics Computer engineering Statistics, general Electrical Engineering Statistics for Business/Economics/Mathematical Finance/Insurance Statistik Wirtschaft Multivariate Analyse Elliptische Verteilung |
| url | https://doi.org/10.1007/978-94-011-1646-6 |
| work_keys_str_mv | AT guptaak ellipticallycontouredmodelsinstatistics AT vargat ellipticallycontouredmodelsinstatistics |