Three estimators of the Mahalanobis distance in high-dimensional data
This paper treats the problem of estimating the Mahalanobis distance for the purpose of detecting outliers in high-dimensional data. Three ridge-type estimators are proposed and risk functions for deciding an appropriate value of the ridge coefficient are developed. It is argued that one of the ridge estimator has particularly tractable properties, which is demonstrated through outlier analysis of real and simulated data.
Year of publication: |
2012
|
---|---|
Authors: | Holgersson, H. E.T. ; Karlsson, Peter S. |
Published in: |
Journal of Applied Statistics. - Taylor & Francis Journals, ISSN 0266-4763. - Vol. 39.2012, 12, p. 2713-2720
|
Publisher: |
Taylor & Francis Journals |
Saved in:
Saved in favorites
Similar items by person
-
Estimating mean-standard deviation ratios of financial data
Holgersson, H. E.T., (2012)
-
The incompleteness problem of the APT model
Karlsson, Peter S., (2011)
-
Issues of incompleteness, outliers and asymptotics in high-dimensional data
Karlsson, Peter S., (2011)
- More ...