A Statistical Description of Coincidences among Random Pulse Trains

A simple formulation is developed for describing statistically the time coincidences among a set of random pulse trains. Specifically, each pulse train is assumed to consist of pulses occurring randomly and having pulse lengths with some known distribution. It is then possible to determine the statistical distribution for the resulting durations of coincidences among several individually specified random pulse trains. From this can be derived such corollary results as the average duration of the resulting coincidences.