Statistical properties of a nonstationary Neyman - Scott cluster process (Corresp.)

A recurrence relation is obtained for the counting distribution, as well as the probability density of waiting time, for a doubly stochastic Poisson point process driven by nonstationary shot noise (SNDP). For a stimulus of short duration, the counting distribution approximately reduces to the Neyman Type-A. The SNDP is an important special Neyman-Scott cluster process.