Classifiers for doubly multivariate data
Discussiones Mathematicae. Probability and Statistics, Tome 31 (2011) no. 1-2, pp. 5-27

Voir la notice de l'article provenant de la source Library of Science

This paper proposes new classifiers under the assumption of multivariate normality for multivariate repeated measures data (doubly multivariate data) with Kronecker product covariance structures. These classifiers are especially useful when the number of observations is not large enough to estimate the covariance matrices, and thus the traditional classifiers fail. The quality of these new classifiers is examined on some real data. Computational schemes for maximum likelihood estimates of required class parameters, and the likelihood ratio test relating to the structure of the covariance matrices, are also given.
Keywords: classifiers, repeated measures data (doubly multivariate data), Kronecker product covariance structure, compound symmetry covariance structure, AR(1) covariance structure, maximum likelihood estimates, likelihood ratio tests
@article{DMPS_2011_31_1-2_a0,
     author = {Krzy\'sko, Miros{\l}aw and Skorzybut, Micha{\l} and Wo{\l}y\'nski, Waldemar},
     title = {Classifiers for doubly multivariate data},
     journal = {Discussiones Mathematicae. Probability and Statistics},
     pages = {5--27},
     publisher = {mathdoc},
     volume = {31},
     number = {1-2},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMPS_2011_31_1-2_a0/}
}
TY  - JOUR
AU  - Krzyśko, Mirosław
AU  - Skorzybut, Michał
AU  - Wołyński, Waldemar
TI  - Classifiers for doubly multivariate data
JO  - Discussiones Mathematicae. Probability and Statistics
PY  - 2011
SP  - 5
EP  - 27
VL  - 31
IS  - 1-2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMPS_2011_31_1-2_a0/
LA  - en
ID  - DMPS_2011_31_1-2_a0
ER  - 
%0 Journal Article
%A Krzyśko, Mirosław
%A Skorzybut, Michał
%A Wołyński, Waldemar
%T Classifiers for doubly multivariate data
%J Discussiones Mathematicae. Probability and Statistics
%D 2011
%P 5-27
%V 31
%N 1-2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMPS_2011_31_1-2_a0/
%G en
%F DMPS_2011_31_1-2_a0
Krzyśko, Mirosław; Skorzybut, Michał; Wołyński, Waldemar. Classifiers for doubly multivariate data. Discussiones Mathematicae. Probability and Statistics, Tome 31 (2011) no. 1-2, pp. 5-27. http://geodesic.mathdoc.fr/item/DMPS_2011_31_1-2_a0/