Characteristic polynomials of sample covariance matrices: The non-square case

• Autorzy: Holger Kösters
• Języki publikacji: EN

Abstrakty

EN

We consider the sample covariance matrices of large data matrices which have i.i.d. complex matrix entries and which are non-square in the sense that the difference between the number of rows and the number of columns tends to infinity. We show that the second-order correlation function of the characteristic polynomial of the sample covariance matrix is asymptotically given by the sine kernel in the bulk of the spectrum and by the Airy kernel at the edge of the spectrum. Similar results are given for real sample covariance matrices.

Słowa kluczowe

EN

Random matrices; Characteristic polynomials; Bessel functions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 4
• Strony: 763-779

Daty

wydano

2010-08-01

online

2010-07-24

Twórcy

autor

Holger Kösters

• Faculty of Mathematics, University of Bielefeld, Bielefeld, Germany,

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0035-2