2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131125We show that nonparametric regression is asymptotically equivalent in Le Cam's sense with a sequence of Gaussian white noise experiments as the number of observations tends to infinity. We propose a general constructive framework based on approximation spaces, which permits to achieve asymptotic equivalence even in the cases of multivariate and random design.30 pagesStatistics Theory62G08, 62G20, 62B15text