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Note on Asymptotic Joint Distribution of the Eigenvalues of a Noncentral Multivariate F Matrix

机译：关于非中心多元F矩阵特征值的渐近联合分布的注记

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In an article written by HSU, the proof of the basic Lemma 3 is based on Lemma 1 which is wrong. The aim of this document is to correct the proof of Lemma 3 and consequently to ensure the main theorem in Hsu's work. (Author)

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作者
Bai, Z. D.;
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年度 1984
页码 p.1-17
总页数 17
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Multivariate analysis; Normal distribution; Asymptotic series; Eigenvalues; Limitations; Theorems; Matrices(Mathematics);

机译：多元分析;正态分布;渐近系列;特征值;局限;定理;矩阵（数学）;

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专利

1. ESTIMATION OF THE EIGENVALUES OF NONCENTRALITY PARAMETER IN MATRIX VARIATE NONCENTRAL BETA DISTRIBUTION [J] . Yo Sheena, A. K. Gupta, Y. Fujikoshi Annals of the Institute of Statistical Mathematics . 2004,第1期

机译：矩阵变量非中心BETA分布中非中心参数特征值的估计
2. Estimation of the eigenvalues of noncentrality parameter in matrix variate noncentral beta distribution [J] . Yo Sheena, A. K. Gupta, Y. Fujikoshi Annals of the Institute of Statistical Mathematics . 2004,第1期

机译：矩阵变量非中心β分布中非中心参数特征值的估计
3. On the noncentral distributions of the second largest roots of three matrixes in multivariate analysis [J] . Canadian mathematical bulletin . 1970,第1970期

机译：多元分析中三个矩阵第二大根的非中心分布
4. A New Approach to Unified Performance Analysis of Randomly-Spread CDMA Systems over Multipath Fading Channels via Crosscorrelation Matrix Non-Asymptotic Average Eigenvalue Distributions [C] . Oezguer Ertug, Buyurman Baykal, Berna Sayrac The 14th IEEE 2003 International Symposium on Personal, Indoor and Mobile Radio Communications Proceedings v.1 . 2003

机译：基于互相关矩阵非渐近平均特征值分布的多径衰落信道上随机扩频CDMA系统统一性能分析的新方法
5. Efficient confidence interval methodologies for the noncentrality parameters of noncentral T-distributions. [D] . Kim, Jongphil. 2007

机译：非中心T分布的非中心参数的有效置信区间方法。
6. EXTENDING MULTIVARIATE DISTANCE MATRIX REGRESSION WITH AN EFFECT SIZE MEASURE AND THE ASYMPTOTIC NULL DISTRIBUTION OF THE TEST STATISTIC [O] . Daniel B. McArtor, Gitta H. Lubke, C. S. Bergeman -1

机译：具有效应尺寸度量和检验统计量的渐近零分布的扩展多元距离矩阵回归
7. Asymptotic distributions of functions of the eigenvalues of sample covariance matrix and canonical correlation matrix in multivariate time series [O] . Taniguchi M, Krishnaiah P.R 1987

机译：多元时间序列中样本协方差矩阵和典范相关矩阵特征值的函数的渐近分布

Note on Asymptotic Joint Distribution of the Eigenvalues of a Noncentral Multivariate F Matrix

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