Position dependent and stochastic thinning of point processes

Tim Brown

Stochastic Processes and their Applications, 1979, vol. 9, issue 2, 189-193

Abstract: A short probabilistic proof of Kallenberg's theorem [2] on thinning of point processes is given. It is extended to the case where the probability of deletion of a point depends on the position of the point and is itself random. The proof also leads easily to a statement about the rate of convergence in Renyi's theorem on thinning a renewal process.

Keywords: Point; process; random; measure; thinning; convergence; in; distribution; Poisson; process; Cox; process (search for similar items in EconPapers)
Date: 1979
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