Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1145240 | Journal of Multivariate Analysis | 2016 | 19 Pages |
Abstract
We consider the problem of estimating covariance and precision matrices, and their associated discriminant coefficients, from normal data when the rank of the covariance matrix is strictly smaller than its dimension and the available sample size. Using unbiased risk estimation, we construct novel estimators by minimizing upper bounds on the difference in risk over several classes. Our proposal estimates are empirically demonstrated to offer substantial improvement over classical approaches.
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
Didier Chételat, Martin T. Wells,