Selective interaction of two independent recurrent processes

Summary Considered are two mutually independent recurrent processes each consisting of a time series of unitary stimuli. The durations of the intervals between the stimuli in each series are independent of each other and identically distributed with probability density functions φ ( t ) and ψ ( t ). Every stimulus of the ψ ( t ) process annihilates the next stimulus of the φ ( t ) process. The probability density function of the intervals of the transformed φ ( t ) process is derived for the case where either the φ ( t ) or the ψ ( t ) process is Poisson.