Normal approximation for some mean-value estimates of absolutely regular tessellations

Abstract

We give a bound for the absolute regularity coefficient of a Voronoi tessellation in terms of the absolute regularity coefficient of the generating stationary point process and its void probabilities. This result together with a suitable CLT for random fields provide asymptotic normality, for example, of the number of nodes or the total length of edges of the tessellation contained in a large sampling window whenever the underlying point process is close enough to a stationary Poisson process. Approximate 100(1-#alpha#)% confidence intervals for the intensity of nodes and some other parameters of the tessellation are constructedAvailable from TIB Hannover: RO 8278(92-044) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

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Last time updated on 14/06/2016

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