7 citations · 18 across the 15 of their papers we have counts for
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math.ST2020★ 7 cited
Bootstrapping Persistent Betti Numbers and Other Stabilizing Statistics
Benjamin Roycraft, Johannes Krebs, Wolfgang Polonik
The present contribution investigates multivariate bootstrap procedures for general stabilizing statistics, with specific application to topological data analysis. Existing limit t…
math.ST2020
Functional central limit theorems for persistent Betti numbers on cylindrical networks
Johannes Krebs, Christian Hirsch
We study functional central limit theorems for persistent Betti numbers obtained from networks defined on a Poisson point process. The limit is formed in large volumes of cylindric…