Constructions for planar point processes using concentric circles

Valerie Isham

Stochastic Processes and their Applications, 1977, vol. 5, issue 2, 131-141

Abstract: Some point processes are obtained by generalising the well-known construction for a two-dimensional Poisson process which locates an event on each of a sequence of concentric circles in a particular way. The constructions considered here have, in general, a random number of events on each circle. Under certain sufficient conditions, the constructed processes are asymptotically Poisson, far from the origin. The obvious regularity in the structure of these processes can be removed at least superficially, by displacing the events independently off the concentric circles.

Keywords: Multidimensional; point; process; Poisson; process; construction; Asympototic; Poisson; behaviour (search for similar items in EconPapers)
Date: 1977
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