Salmon's Causal Mechanical (CM) model[SalmonCM] of explanation goes beyond statistical relevance to require the inclusion in explanations of the description of a physical process capable of persistently transmitting a mark, where a mark indicates a structural alteration to an element of the process. Moreover, the explanation provide a trace of how the alterations transmitted the mark.
Salmon's theory of Statistical Relevance[SalmonSR] enhances the Deductive-Nomological model by addressing issues of explanatory relevance and conditional dependence. That is, a potential cause is relevant to explaining an effect to the extent that the conditional probability of the event is greater when the cause occurs than when it does not.