A U-statistic of a Poisson point process is defined as the sum ∑ f (x₁, · · ·, xk) over all (possibly infinitely many) k-tuples of distinct points of the point process. Using the Malliavin calculus, ...
Figure 1: The duality of fatigue data caused by competing failure modes in the titanium alloy, Ti-10V-2Fe-3Al for two microstructures, B and E. Figure 2: Micrographs illustrating the defect clusters ...
This paper establishes expectation and variance asymptotics for statistics of the Poisson-Voronoi approximation of general sets, as the underlying intensity of the Poisson point process tends to ...
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