Poisson Limit of Thinned Processes. Let N n be a sequence of point processes on S. Suppose N n is subject to a pn(x) thinning: A point of Nn at x is retained with probability p n (x) and is deleted...

Poisson Limit of Thinned Processes. Let N_n
be a sequence of point processes on S. Suppose N_n
is subject to a pn(x) thinning: A point of Nn at x is retained with probability p_n(x) and is deleted with probability 1 − p_n(x). Let Nn denote the resulting thinned process on S. Assume the thinning is uniformly null in that