Recursive causal models
Harri Kiiveri, Terence Paul Speed, John B. Carlin · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1984
Abstract The notion of a recursive causal graph is introduced, hopefully capturing the essential aspects of the path diagrams usually associated with recursive causal models. We describe the conditional independence constraints which such graphs are meant to embody and prove a theorem relating the fulfilment of these constraints by a probability distribution to a particular sort of factorisation. The relation of our results to the usual linear structural equations on the one hand, and to log-linear models, on the other, is also explained