  The BBGKY formalism is revisited in the framework of plasma spectroscopy. We
address the issue of Stark line shape modeling by using kinetic transport
equations. In the most simplified treatment of these equations, triple
correlations between an emitter and the perturbing charged particles are
neglected and a collisional description of Stark effect is obtained. Here we
relax this assumption and retain triple correlations using a generalization of
the Kirkwood truncature hypothesis to quantum operator. An application to
hydrogen lines is done in the context of plasma diagnostic, and indicates that
the neglect of triple correlations can lead to a significant overestimate of
the line width.
