93 citations · 173 across the 3 of their papers we have counts for
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math.PR2022★ 1 cited
A Flexible Approach for Normal Approximation of Geometric and Topological Statistics
Zhaoyang Shi, Krishnakumar Balasubramanian, Wolfgang Polonik
We derive normal approximation results for a class of stabilizing functionals of binomial or Poisson point process, that are not necessarily expressible as sums of certain score fu…
math.PR2018
On the choice of weight functions for linear representations of persistence diagrams
Vincent Divol, Wolfgang Polonik
Persistence diagrams are efficient descriptors of the topology of a point cloud. As they do not naturally belong to a Hilbert space, standard statistical methods cannot be directly…
math.PR2009★ 93 cited
Asymptotic normality of plug-in level set estimates
David M. Mason, Wolfgang Polonik
We establish the asymptotic normality of the -measure of the symmetric difference between the level set and a plug-in-type estimator of it formed by replacing the density in the…