Uniform almost sure consistency of smoothing spline estimators
Year: 2025
Type: article
Abstract: The smoothing spline estimator minimizes a penalized least squares criterion over functions with square integrable m th-order partial derivatives. We prove it converges almost surely and uniformly over the entire domain as the sample size increases.
Author: Eunji Lim
Institution: Adelphi University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,250
OpenAlex ID: W4415625638
