Uniform almost sure consistency of smoothing spline estimators

Eunji Lim

doi:10.1016/j.cam.2025.117185

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Uniform almost sure consistency of smoothing spline estimators

Journal article

Open access

Peer reviewed

Uniform almost sure consistency of smoothing spline estimators

Eunji Lim

Journal of computational and applied mathematics, Vol.477, pp.1-6

10/28/2025

DOI: https://doi.org/10.1016/j.cam.2025.117185

Abstract

Smoothing splines (Statistics)

Nonparametric statistics

Least squares

Estimation theory

Convergence (Mathematics)

The smoothing spline estimator minimizes a penalized least squares criterion over functions with square integrable mth-order partial derivatives. We prove it converges almost surely and uniformly over the entire domain as the sample size increases.

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Title: Uniform almost sure consistency of smoothing spline estimators
Creators: Eunji Lim
Publication Details: Journal of computational and applied mathematics, Vol.477, pp.1-6
Publisher: Elsevier Ltd.
Academic Unit: Adelphi University; Decision Sciences and Marketing; Robert B. Willumstad School of Business
Language: English
Resource Type: Journal article
DOI: https://doi.org/10.1016/j.cam.2025.117185
Record Identifier: 991004499253706266