On high-frequency limits of -statistics in Besov spaces over compact manifolds
S Bourguin, C Durastanti - Illinois Journal of Mathematics, 2017 - projecteuclid.org
In this paper, quantitative bounds in high-frequency central limit theorems are derived for
Poisson based $ U $-statistics of arbitrary degree built by means of wavelet coefficients over …
Poisson based $ U $-statistics of arbitrary degree built by means of wavelet coefficients over …
On normal approximations for the two-sample problem on multidimensional tori
S Bourguin, C Durastanti - Journal of Statistical Planning and Inference, 2018 - Elsevier
In this paper, quantitative central limit theorems for U-statistics on the q-dimensional torus
defined in the framework of the two-sample problem for Poisson processes are derived. In …
defined in the framework of the two-sample problem for Poisson processes are derived. In …
Adaptive Density Estimation on the Circle by Nearly Tight Frames
C Durastanti∗ - Recent Applications of Harmonic Analysis to Function …, 2017 - Springer
In this work, we study the L p-risk with p≥ 1 of nonparametric density estimators by using
wavelet method in the framework of circular data. In particular, these estimators are based …
wavelet method in the framework of circular data. In particular, these estimators are based …