کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1146546 | 957517 | 2010 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
General canonical correlations with applications to group symmetry models
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز عددی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: General canonical correlations with applications to group symmetry models General canonical correlations with applications to group symmetry models](/preview/png/1146546.png)
چکیده انگلیسی
In this paper, we define general canonical correlations, which generalize the canonical correlations developed by Hotelling, and general canonical covariate pairs, the corresponding linear statistic. We also define canonical variance distances with corresponding canonical distance variates. In a rather broad setting, these parameters and their corresponding linear statistics are characterized in terms of certain eigenvalues and eigenvectors. For seven of the ten group symmetry testing problems discussed in Andersson, Brøns, and Jensen (1983) [4], these are the eigenvalues used to represent the maximal invariant statistic, and additional observations regarding the canonical correlations are made for these testing problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 101, Issue 7, August 2010, Pages 1547–1558
Journal: Journal of Multivariate Analysis - Volume 101, Issue 7, August 2010, Pages 1547–1558
نویسندگان
Steen A. Andersson, Jesse B. Crawford,