most citedBootstrapping Persistent Betti Numbers and Other Stabilizing Statistics

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math.PR2020

On approximation theorems for the Euler characteristic with applications to the bootstrap

Johannes Krebs, Benjamin Roycraft, Wolfgang Polonik

We study approximation theorems for the Euler characteristic of the Vietoris-Rips and Cech filtration. The filtration is obtained from a Poisson or binomial sampling scheme in the…