The event and its repeated events and more robust events are subsets of a parent class of events. I would like to model the frequency of the events without concern for what type of subclass of event occurred given a certain input variable.

I thought I could logisticly regress the event in tiers. So get the probability curve to the question did the event occur one time or not feeding data of a common variable from each of the seven products into a multiple logistic regression model in R. Then get the probability curve to the question did the event occur two times or not? And so on for up to four times.

I don't really need to quantify dependence on the events to one another (that's another kettle of fish I'll tackle another time), I just care to know the probability of the event occurring 1x, 2x, 3x or 4x during a production run on the line given input of each product's common measured variable for the 7 products (the volume produced). Do I violate any assumptions of the binary logistic regression model by doing this?

Thank you so much for your time.