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A stationary Poisson cylinder process Πcyl(d,k) is composed of a stationary Poisson process of k-flats in ℝd that are dilated by i.i.d. random compact cylinder bases taken from the corresponding orthogonal complement. We study the accuracy of normal approximation of the d-volume Vϱ(d,k) of the union set of Πcyl(d,k) that covers ϱW as the scaling factor ϱ becomes large. Here W is some fixed...
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