Pair random thinnings and point processes under cover
by Dominic Schumacher
Abstract: A thinning of a point process (a "random point pattern") on R D is
obtained by deleting points independently according to probabilities supplied by a random function R D - (0,1). In this talk I present a general estimate of the total variation distance between the distribution of a thinned point process and a Poisson process distribution and apply the result to a point process that is covered by i.i.d. balls. No previous
knowledge about point processes or distances between probability
distributions is required.
For More Information: Konstantin Borovkov K.Borovkov@ms.unimelb.edu.au