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/