|
Title
|
|
|
|
Generalized spherical principal component analysis
|
|
|
Author
|
|
|
|
|
|
|
Abstract
|
|
|
|
| Outliers contaminating data sets are a challenge to statistical estimators. Even a small fraction of outlying observations can heavily influence most classical statistical methods. In this paper we propose generalized spherical principal component analysis, a new robust version of principal component analysis that is based on the generalized spatial sign covariance matrix. Theoretical properties of the proposed method including influence functions, breakdown values and asymptotic efficiencies are derived. These theoretical results are complemented with an extensive simulation study and two real-data examples. We illustrate that generalized spherical principal component analysis can combine great robustness with solid efficiency properties, in addition to a low computational cost. |
|
|
|
Language
|
|
|
|
English
|
|
|
Source (journal)
|
|
|
|
Statistics and computing. - London, 1991, currens
|
|
|
Publication
|
|
|
|
London
:
Chapman & Hall
,
2024
|
|
|
ISSN
|
|
|
|
0960-3174
[print]
1573-1375
[online]
|
|
|
DOI
|
|
|
|
10.1007/S11222-024-10413-9
|
|
|
Volume/pages
|
|
|
|
34
(2024)
, p. 1-20
|
|
|
Article Reference
|
|
|
|
104
|
|
|
ISI
|
|
|
|
001189140000001
|
|
|
Full text (Publisher's DOI)
|
|
|
|
|
|
|
Full text (open access)
|
|
|
|
|
The author-created version that incorporates referee comments and is the accepted for publication version Available from 23.09.2024
|
|
|
|
Full text (publisher's version - intranet only)
|
|
|
|
|
|