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, ...

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 ...

This article discusses the contribution of counting statistics to the uncertainty in identifying the net peak area, and in controlling detection limits. The method is applicable to spectrometers that ...