3 papers
math.ST2026
Rate-optimal and computationally efficient nonparametric estimation on the circle and the sphere
Athanasios G. Georgiadis, Andrew P. Percival
We investigate the problem of density estimation on the unit circle and the unit sphere from a computational perspective. Our primary goal is to develop new density estimators that…
math.ST2024
Adaptive estimation of the -norm of a probability density and related topics II. Upper bounds via the oracle approach
Galatia Cleanthous, Athanasios G. Georgiadis, Oleg V. Lepski
This is the second part of the research project initiated in Cleanthous et al (2024). We deal with the problem of the adaptive estimation of the -norm of a probabilit…
math.ST2024
Adaptive estimation of -norm of a probability density and related topics I. Lower bounds
Galatia Cleanthous, Athanasios G. Georgiadis, Oleg V. Lepski
We deal with the problem of the adaptive estimation of the -norm of a probability density on , , from independent observations. The unknown den…