Selective interaction of two independent recurrent processes

Abstract

SummaryConsidered 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 functionsφ(t) andψ(t). Every stimulus of theψ(t) process annihilates the next stimulus of theφ(t) process. The probability density function of the intervals of the transformedφ(t) process is derived for the case where either theφ(t) or theψ(t) process is Poisson.