论文标题
关于Euler特征的近似定理，并应用于引导程序
On approximation theorems for the Euler characteristic with applications to the bootstrap
论文作者
论文摘要
我们研究了越野河和CECH过滤的欧拉特征的近似定理。过滤是从关键制度中的泊松或二项式采样方案获得的。我们将结果应用于Euler特征的平滑引导程序，并确定其在Kantorovich-Wasserstein距离和Kolmogorov距离中的收敛速率。
We study approximation theorems for the Euler characteristic of the Vietoris-Rips and 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.
