Bootstrapping persistent Betti numbers and other stabilizing statistics

DOI10.1214/23-aos2277arXiv2005.01417OpenAlexW3023046241MaRDI QIDQ6183746

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

Publication date: 4 January 2024

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01417

zbMATH Keywords

bootstrap Euler characteristic stochastic geometry Betti numbers topological data analysis persistent homology random geometric complexes stabilizing statistics

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Nonparametric estimation (62G05) Persistent homology and applications, topological data analysis (55N31) Bootstrap, jackknife and other resampling methods (62F40) Topological data analysis (62R40)

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