TY  - JOUR
PB  - Academic Press
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/21470/
N2  - A particular class of tests for the principal components of ascatter matrix Sigma is proposed. In the simplest case one wants to test,whether a given vector is an eigenvector of Sigma corresponding to itslargest eigenvalue. The test statistics are likelihood ratio statisticsfor the classical Wishart model, and critical values are obtainedparametrically as well as nonparametrically without making any assumptionson the eigenvalues of Sigma. Still the tests have similar asymptoticproperties as classical procedures and are asymptotically admissible andoptimal in some sense.
TI  - Likelihood Ratio Tests for Principal Components
ID  - heidok21470
IS  - 2
JF  - Journal of Multivariate Analysis
VL  - 52
EP  - 258
Y1  - 1995///
AV  - public
SP  - 245
A1  - Dümbgen, Lutz
CY  - Orlando, Florida
SN  - 0047-259X
ER  -