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.
@article{urn:eudml:doc:40146,
title = {On a distance between estimable functions.},
journal = {Q\"uestii\'o},
volume = {13},
year = {1989},
pages = {3-11},
mrnumber = {MR1093608},
zbl = {1167.62431},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40146}
}
Arenas Solá, Concepción. On a distance between estimable functions.. Qüestiió, Tome 13 (1989) pp. 3-11. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40146/