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• W3015625519 abstract "We establish a general Berry-Esseen type bound which gives optimal bounds in many situations under suitable moment assumptions. By combining the general bound with Palm theory, we deduce a new error bound for assessing the accuracy of normal approximation to statistics arising from random measures, including stochastic geometry. We illustrate the use of the bound in four examples: completely random measures, excursion random measure of a locally dependent random process, and the total edge length of Ginibre-Voronoi tessellations and of Poisson-Voronoi tessellations. Moreover, we apply the general bound to Stein couplings and discuss the special cases of local dependence and additive functionals in occupancy problems." @default.
• W3015625519 created "2020-04-17" @default.
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• W3015625519 date "2020-04-10" @default.
• W3015625519 modified "2023-10-16" @default.
• W3015625519 title "Palm theory, random measures and Stein couplings" @default.
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• W3015625519 doi "https://doi.org/10.48550/arxiv.2004.05026" @default.
• W3015625519 hasPublicationYear "2020" @default.
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