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

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作者: Diluge    時間: 2025-3-21 22:57
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).
作者: Mirage    時間: 2025-3-22 03:38
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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作者: N斯巴達人    時間: 2025-3-22 15:22
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.
作者: N斯巴達人    時間: 2025-3-22 19:40
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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作者: 災難    時間: 2025-3-23 02:13

作者: 蘑菇    時間: 2025-3-23 06:36
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).
作者: 6Applepolish    時間: 2025-3-23 12:53
Mixtures of Normal Distributions,Muirhead (1982) gave a definition of scale mixture of vector variate normal distributions. Using Corollary 2.7.4.1, the scale mixture of matrix variate normal distributions can be defined as follows (Gupta and Varga, 1992c).
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作者: moribund    時間: 2025-3-23 21:33
Characterization Results,In this section, we characterize the parameters of m.e.c. distributions which are invariant under certain linear transformations. First we prove the following lemma.
作者: innovation    時間: 2025-3-23 22:19

作者: needle    時間: 2025-3-24 05:15

作者: 忍受    時間: 2025-3-24 09:12
https://doi.org/10.1057/9781137477859ese distributions proved to be useful in statistical inference. For example, the Wishart distribution is essential when studying the sample covariance matrix in the multivariate normal theory. Random matrices can also be used to describe repeated measurements on multivariate variables. In this case,
作者: 神刊    時間: 2025-3-24 11:47
Time-Varying Electric and Magnetic Fields,own matrix. Moreover, assume that x., i = l,...,n are uncorrelated and their joint distribution is elliptically contoured and absolutely continuous. This model can be expressed as .where X = (x., x.,...,x.); Z = (z., z.,...,z.) is a q × n known matrix; B (p × q) and Σ (p × p) are unknown matrices. A
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作者: 莊嚴    時間: 2025-3-24 20:46
Mathematics and Its Applicationshttp://image.papertrans.cn/e/image/307811.jpg
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Linear Models,his model can be expressed as .where X = (x., x.,...,x.); Z = (z., z.,...,z.) is a q × n known matrix; B (p × q) and Σ (p × p) are unknown matrices. Assume rk(Z) = q and p + q ≤ n. The joint p.d.f. of x., x.,...,x. can be written as
作者: Constant    時間: 2025-3-25 15:17
Book 1993s 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 gen
作者: thrombus    時間: 2025-3-25 18:51
Preliminaries,ese distributions proved to be useful in statistical inference. For example, the Wishart distribution is essential when studying the sample covariance matrix in the multivariate normal theory. Random matrices can also be used to describe repeated measurements on multivariate variables. In this case,
作者: CLEFT    時間: 2025-3-25 22:17

作者: 毛細血管    時間: 2025-3-26 03:02
Preliminaries,ons in this class possess certain properties, similar to those of the normal distribution, makes them especially useful. For example, many testing procedures developed for the normal theory to test various hypotheses can be used for this class of distributions, too.
作者: 后來    時間: 2025-3-26 06:10
Book 1993e 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
作者: 障礙物    時間: 2025-3-26 11:36
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 and978-94-010-4719-7978-94-011-1646-6
作者: follicular-unit    時間: 2025-3-26 13:33
https://doi.org/10.1057/9781137477859ons in this class possess certain properties, similar to those of the normal distribution, makes them especially useful. For example, many testing procedures developed for the normal theory to test various hypotheses can be used for this class of distributions, too.
作者: 刀鋒    時間: 2025-3-26 17:13

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作者: parsimony    時間: 2025-3-27 16:52
Book 2019erican Boarding Schools. These individuals and events have established and sustained education in communities across the United States. This book will help foster a renewed sense of importance both for those considering teaching and for teachers in classrooms across the country. .
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Jan Van Den Brinkr uses, search strategies, and future research. This medical sector-wide impact is unevenly known and appreciated. Complexity Sciences are contributing significantly to understanding biomarkers across the dimensions of the human phenotype because Complexity Sciences advantageously explain the change
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Examining Police Service Delivery: An Introduction and Overviewwing the May 2020 death of an African-American, George Floyd, at the hands of the police in Minneapolis, Minnesota; this singular occurrence launched peaceful protests and even violent riots around the world. Who are the police? What should they do? How should they do it? These fundamental questions




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