CEIS-Tor Vergata is pleased to inform you that, on Friday April 11th, 2014 at 12.00 pm, Michael Wolf (University of Zurich) will present a paper on “Spectrum Estimation: A Unified Framework for Covariance Matrix Estimation and PCA in Large Dimensions†ABSTRACT Covariance matrix estimation and principal component analysis (PCA) are two cornerstones of multivariate analysis. Classic textbook solutions perform poorly when the dimension of the data is of a magnitude similar to the sample size, or even larger. In such settings, there is a common remedy for both statistical problems: nonlinear shrinkage of the eigenvalues of the sample covariance matrix. The optimal nonlinear shrinkage formula depends on unknown population quantities and is thus not available. It is, however, possible to consistently estimate an oracle nonlinear shrinkage, which is motivated on asymptotic grounds. A key tool to this end is consistent estimation of the set of eigenvalues of the population covariance matrix (also known as the spectrum), an interesting and challenging problem in its own right. Extensive Monte Carlo simulations demonstrate that our methods have desirable finite-sample properties and outperform previous proposals.​ The Seminar will be held at the Faculty of Economics, University of Rome "Tor Vergata", B-building, 1° floor, room B Please, go to www.ceistorvergata.it for the complete list of seminars and events at CEIS. How to reach us: http://web.uniroma2.it/mobilita/index.html http://www.economia.uniroma2.it/area.asp?a=867 Barbara Piazzi __________ Informazioni da ESET NOD32 Antivirus, versione del database delle firme digitali 9646 (20140407) __________ Il messaggio è stato controllato da ESET NOD32 Antivirus. www.nod32.it |
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