In this paper we will prove a characterization for the independence of random vectors with positive (negative) orthant dependence according to a direction. The result can be seen as a generalization of a result by Lehmann [4].
@article{urn:eudml:doc:38956,
title = {On independence in some families of multivariate distributions.},
journal = {Stochastica},
volume = {10},
year = {1986},
pages = {213-222},
zbl = {0651.62043},
mrnumber = {MR0957487},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38956}
}
Quesada, José Juan. On independence in some families of multivariate distributions.. Stochastica, Tome 10 (1986) pp. 213-222. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38956/