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  • Search: subject:"Random matrix with dependent entries"
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Heavy-tailed distribution 1 Largest eigenvalue 1 Largest singular value 1 Linear process 1 Random coefficient model 1 Random matrix theory 1 Random matrix with dependent entries 1 Sample covariance matrix 1
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Davis, Richard A. 1 Pfaffel, Oliver 1 Stelzer, Robert 1
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Stochastic Processes and their Applications 1
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Limit theory for the largest eigenvalues of sample covariance matrices with heavy-tails
Davis, Richard A.; Pfaffel, Oliver; Stelzer, Robert - In: Stochastic Processes and their Applications 124 (2014) 1, pp. 18-50
We study the joint limit distribution of the k largest eigenvalues of a p×p sample covariance matrix XXT based on a large p×n matrix X. The rows of X are given by independent copies of a linear process, Xit=∑jcjZi,t−j, with regularly varying noise (Zit) with tail index α∈(0,4). It is...
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