2 papers
math.ST2026
Adaptive thresholding for wavelet-based nonparametric heteroskedastic variance estimation on the sphere
Claudio Durastanti, Radomyra Shevchenko
This paper addresses the nonparametric estimation of a spatially varying, heteroskedastic variance function on the unit sphere within a regression framework. While adaptive regress…
math.ST2025
Gaussian approximation for non-linearity parameter estimation in perturbed random fields on the sphere
Claudio Durastanti
We develop a probabilistic framework for the asymptotic analysis of a bispectrum-based estimator of primordial non-Gaussianity for isotropic random fields on the sphere in the high…