This is largely a literature request.
I have some data consisting of, for each use of a credit card, the card owner, the store, and the time of the use. This could be viewed as a collection of dependent point processes associated with the edges of a big graph, where the vertices are credit card owners and stores that accept credit cards.
I'm interested in trying to model this information, in particular in such a way that one could try to simulate data from the model afterwards without too much difficulty. It is ok if one can only simulate at small discrete time steps. Is there a literature on this type of topic? Any great papers to read?