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

DOI10.1214/21-EJS1898zbMath1491.60049arXiv2005.07557OpenAlexW3200799795MaRDI QIDQ2233580

Wolfgang Polonik, Benjamin Roycraft, Johannes T. N. Krebs

Publication date: 11 October 2021

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07557

zbMATH Keywords

bootstrapweak convergencefunctional central limit theoremstochastic geometryEuler characteristicsPoisson processnormal approximationbinomial processtopological data analysiscritical regimeČech complexsmooth bootstraprandom geometric complexes

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Bootstrap, jackknife and other resampling methods (62F40) Characteristic classes and numbers in differential topology (57R20) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17)

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Uses Software

• SECT

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