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Titlebook: Elliptically Contoured Models in Statistics; A. K. Gupta,T. Varga Book 1993 Kluwer Academic Publishers 1993 algebra.matrices.matrix.normal

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发表于 2025-3-21 19:06:57 | 显示全部楼层 |阅读模式
书目名称Elliptically Contoured Models in Statistics
编辑A. K. Gupta,T. Varga
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Elliptically Contoured Models in Statistics;  A. K. Gupta,T. Varga Book 1993 Kluwer Academic Publishers 1993 algebra.matrices.matrix.normal
描述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
出版日期Book 1993
关键词algebra; matrices; matrix; normal distribution; probability; quadratic form; statistical analysis; statisti
版次1
doihttps://doi.org/10.1007/978-94-011-1646-6
isbn_softcover978-94-010-4719-7
isbn_ebook978-94-011-1646-6
copyrightKluwer Academic Publishers 1993
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Strings, Text, and Regular Expressions,In the literature, several definitions of elliptically contoured distributions can be found, e.g. see Anderson and Fang (1982b), Fang and Chen (1984), and Sutradhar and Ali (1989). We will use the following definition given in Gupta and Varga (1991c).
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WebSphere Scalability and Availability,The m.e.c. probability density function has some interesting properties which will be given in this chapter. These results are taken from Kelker (1970), Cambanis, Huang, and Simons (1981), Fang, Kotz, and Ng (1990), and Gupta and Varga (1992b).
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Murray H. Protter,Hans F. WeinbergerIn this section, we characterize the parameters of m.e.c. distributions which are invariant under certain linear transformations. First we prove the following lemma.
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Maxwell Anderson and the Marriage CrisisLet n ≥ p and assume h is known. We want to estimate M, Σ, and Φ based on a single observation from X.
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Probability Density Function and Expected Values,The m.e.c. probability density function has some interesting properties which will be given in this chapter. These results are taken from Kelker (1970), Cambanis, Huang, and Simons (1981), Fang, Kotz, and Ng (1990), and Gupta and Varga (1992b).
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