Publication: Distance estimates for dependent superpositions of point processes
Distance estimates for dependent superpositions of point processes
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Schuhmacher, D. (2005). Distance estimates for dependent superpositions of point processes. Stochastic Processes and Their Applications, 115(11), 1819–1837. https://doi.org/10.1016/j.spa.2005.06.004
Abstract
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Abstract
In this article, superpositions of possibly dependent point processes on a general space View the MathML source are considered. Using Stein's method for Poisson process approximation, an estimate is given for the Wasserstein distance d2 between the distribution of such a superposition and an appropriate Poisson process distribution. This estimate is compared to a modern version of Grigelionis’ theorem, and to results of Banys [Lecture Notes in Statistics, vol. 2, Springer, New York, 1980, pp. 26–37], Arratia et al. [Ann. Probab. 17 (1
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- Schuhmacher, D
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Schuhmacher, D. (2005). Distance estimates for dependent superpositions of point processes. Stochastic Processes and Their Applications, 115(11), 1819–1837. https://doi.org/10.1016/j.spa.2005.06.004
