Conditions on joint distributions are given under which two variables will be conditionally associated whenever an independence graph does not imply a corresponding conditional independence statement. To this end the notions of parametric cancellation, of stable paths and of quasi-linear models are discussed in some detail.
@article{1173883817,
author = {Wermuth, Nanny and Cox, David R.},
title = {On association models defined over independence graphs},
journal = {Bernoulli},
volume = {4},
number = {1},
year = {1998},
pages = { 477-495},
language = {en},
url = {http://dml.mathdoc.fr/item/1173883817}
}
Wermuth, Nanny; Cox, David R. On association models defined over independence graphs. Bernoulli, Tome 4 (1998) no. 1, pp. 477-495. http://gdmltest.u-ga.fr/item/1173883817/