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Activity Number: 280
Type: Invited
Date/Time: Tuesday, August 6, 2013 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #307242
Title: Principal Component Analysis for High-Dimensional Non-Gaussian Data
Author(s): Fang Han and Han Liu*+
Companies: Johns Hopkins University and Princeton University
Keywords: High Dimensional Statistics ; Principal Component Analysis ; Elliptical Distribution ; Transelliptical Distribution ; Robust Statistics
Abstract:

We introduce new principal component analysis methods for analyzing high dimensional non-Gaussian data. In particular, we assume the data follow an elliptical distribution or transelliptical distribution. Using either marginal or multivariate ranks, our estimators attain the optimal rates of convergence in parameter estimation. We also discuss the computational aspects of the proposed estimators. This is a joint work with Fang Han.


Authors who are presenting talks have a * after their name.

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