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We study approximation theorems for the Euler characteristic of the Vietoris-Rips and \v Cech filtration. The filtration is obtained from a Poisson or binomial sampling scheme in the critical regime.… Click to show full abstract
We study approximation theorems for the Euler characteristic of the Vietoris-Rips and \v Cech filtration. The filtration is obtained from a Poisson or binomial sampling scheme in the critical regime. We apply our results to the smooth bootstrap of the Euler characteristic and determine its rate of convergence in the Kantorovich-Wasserstein distance and in the Kolmogorov distance.
Keywords:
characteristic applications;
approximation theorems;
applications bootstrap;
theorems euler;
euler characteristic
Journal Title: Electronic Journal of Statistics
Year Published: 2021
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Journal Title: Electronic Journal of Statistics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!