Position dependent and stochastic thinning of point processes |
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Authors: | Tim Brown |
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Institution: | School of Mathematics, University of Bath, Claverton Down, Bath, BA2 7AY, U.K. |
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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. |
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Keywords: | Point process random measure thinning convergence in distribution Poisson process Cox process |
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