On a distance between estimable functions.

Arenas Solá, Concepción. "On a distance between estimable functions.." Qüestiió 13.1,2,3 (1989): 3-11. <http://eudml.org/doc/40146>.

@article{ArenasSolá1989,
abstract = {In this paper we study the main properties of a distance introduced by C.M. Cuadras (1974). This distance is a generalization of the well-known Mahalanobis distance between populations to a distance between parametric estimable functions inside the multivariate analysis of variance model. Reduction of dimension properties, invariant properties under linear automorphisms, estimation of the distance, distribution under normality as well as the interpretation as a geodesic distance are studied and commented.},
author = {Arenas Solá, Concepción},
journal = {Qüestiió},
keywords = {Análisis multivariante; Distancias estadísticas; Mahalanobis distance; multivariate parametric estimable functions; MANOVA; geodesic distance},
language = {eng},
number = {1,2,3},
pages = {3-11},
title = {On a distance between estimable functions.},
url = {http://eudml.org/doc/40146},
volume = {13},
year = {1989},
}

TY - JOUR
AU - Arenas Solá, Concepción
TI - On a distance between estimable functions.
JO - Qüestiió
PY - 1989
VL - 13
IS - 1,2,3
SP - 3
EP - 11
AB - In this paper we study the main properties of a distance introduced by C.M. Cuadras (1974). This distance is a generalization of the well-known Mahalanobis distance between populations to a distance between parametric estimable functions inside the multivariate analysis of variance model. Reduction of dimension properties, invariant properties under linear automorphisms, estimation of the distance, distribution under normality as well as the interpretation as a geodesic distance are studied and commented.
LA - eng
KW - Análisis multivariante; Distancias estadísticas; Mahalanobis distance; multivariate parametric estimable functions; MANOVA; geodesic distance
UR - http://eudml.org/doc/40146
ER -