Imagine one have an ideal sensor, which can convert the emission to some kinds of signal (typically, voltage, and suppose no noise at all), then what process can describe the measure data? Is it related to Stochastic electrodynamics?
The usual physics assumption for spontaneous emission of radiation (which I think is what you're talking about here) is that of a Poisson process; that is, if one has a large number of possible emitters, the times between consecutive emissions is not correlated. On the other hand, if we have only a single emitter, then the time at which it emits follows the exponential probability distribution.
These things seem to have nothing to do with Stochastic electrodynamics (but I admit I'd never heard of it and am not inclined to study it).