The largest eigenvalues of sample covariance matrices for a spiked population: diagonal case.
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | FÉRAL, Delphine | |
| hal.structure.identifier | Institut Fourier [IF ] | |
| dc.contributor.author | PÉCHÉ, Sandrine | |
| dc.date.accessioned | 2024-04-04T02:43:42Z | |
| dc.date.available | 2024-04-04T02:43:42Z | |
| dc.date.created | 2008-12-11 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191350 | |
| dc.description.abstractEn | We consider large complex random sample covariance matrices obtained from ``spiked populations'', that is when the true covariance matrix is diagonal with all but finitely many eigenvalues equal to one. We investigate the limiting behavior of the largest eigenvalues when the population and the sample sizes both become large. Under some conditions on moments of the sample distribution, we prove that the asymptotic fluctuations of the largest eigenvalues are the same as for a complex Gaussian sample with the same true covariance. The real setting is also considered. | |
| dc.language.iso | en | |
| dc.subject.en | sample covariance matrices from a spiked population | |
| dc.subject.en | universality of the fluctuations of the largest eigenvalues | |
| dc.title.en | The largest eigenvalues of sample covariance matrices for a spiked population: diagonal case. | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.identifier.arxiv | 0812.2320 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00346619 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00346619v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=F%C3%89RAL,%20Delphine&P%C3%89CH%C3%89,%20Sandrine&rft.genre=preprint |
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