The asymptotic distributions of the largest entries of sample correlation matrices.
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Publication:1879895
DOI10.1214/105051604000000143zbMath1047.60014arXivmath/0406184OpenAlexW3098247475MaRDI QIDQ1879895
Publication date: 15 September 2004
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0406184
Multivariate distribution of statistics (62H10) Central limit and other weak theorems (60F05) Strong limit theorems (60F15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit of the smallest eigenvalue of a large dimensional sample covariance matrix
- Two moments suffice for Poisson approximations: The Chen-Stein method
- Sur les déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi. (On moderate deviations of sums of independent and identically distributed vector valued random variables)
- Complete convergence and almost sure convergence of weighted sums of random variables
- Maxima of entries of Haar distributed matrices
- On the distribution of the largest eigenvalue in principal components analysis
- Maxima of partial sums indexed by geometrical structures
- A comparison of scores of two protein structures with foldings
- Sums of independent Banach space valued random variables
- Large deviations of sums of independent random variables
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