Adaptive estimation for nonparametric circular regression with errors in variables
Statistics Theory
2025-08-27 v1 Statistics Theory
Abstract
This paper investigates the nonparametric estimation of a circular regression function in an errors-in-variables framework. Two settings are studied, depending on whether the covariates are circular or linear. Adaptive estimators are constructed and their theoretical performance is assessed through convergence rates over Sobolev and H\"older smoothness classes. Numerical experiments on simulated and real datasets illustrate the practical relevance of the methodology.
Cite
@article{arxiv.2508.18581,
title = {Adaptive estimation for nonparametric circular regression with errors in variables},
author = {Tien Dat Nguyen and Thanh Mai Pham Ngoc},
journal= {arXiv preprint arXiv:2508.18581},
year = {2025}
}