I have a bunch of point processes that are generated by some unknown model. There is a marked pause that seems to begin and end at the same time in each process. I would like to measure this pause.
I have fruitlessly tried fitting the waiting times from the processes to standard distributions. The point processes represent the spiking activity of a neuron which is probably generated by a very complicated, currently unknown mechanism. Is there a largely nonparametric method for detecting changepoints for this data?
My original method was to use something like edge detection, though I'd like a more statistical method. Any help is appreciated and please let me know if this question is unclear or if anyone would like more detail.