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Refined convergence for the Boolean model
Advances in Applied Probability
In Michel and Paroux (2003) the authors proposed a new proof of a well-known convergence result for the scaled elementary connected vacant component in the high intensity Boolean model towards the Crofton cell of the Poisson hyperplane process (see, e.g. Hall (1985)). In this paper we investigate the second-order term in this convergence when the two-dimensional Boolean model and the Poisson line process are coupled on the same probability space. We consider the particular case where the grainsdoi:10.1239/aap/1261669579 fatcat:v7su5f5ivnhpbk3eezvdncfk2y