A Concentration of Measure and Random Matrix Approach to Large
Dimensional Robust Statistics
A Concentration of Measure and Random Matrix Approach to Large
Dimensional Robust Statistics
This article studies the \emph{robust covariance matrix estimation} of a data collection $X = (x_1,\ldots,x_n)$ with $x_i = \sqrt \tau_i z_i + m$, where $z_i \in \mathbb R^p$ is a \textit{concentrated vector} (e.g., an elliptical random vector), $m\in \mathbb R^p$ a deterministic signal and $\tau_i\in \mathbb R$ a scalar perturbation …