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Published in 2021 at "Electronic Journal of Statistics"
DOI: 10.1214/21-ejs1898
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…
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Keywords:
characteristic applications;
approximation theorems;
applications bootstrap;
theorems euler ... See more keywords