Graphical models with Koehler Symanowski distributions

In this paper, a multivariate distribution family introduced by
Koehler and Symanowski (1995) is discussed as alternative
assumption for graphical models which are typically connected with
Conditional-Gaussian distributions. For that purpose, certain
requirements which have to be fulfilled when formulating graphical
models are checked. This leads to the introduction of graphical
models with Koehler Symanowski distributions which are then
investigated regarding some basic properties known for Gaussian
graphical models.