A Simple Smoothing Spline
The American StatisticianPublished 1 May 1994
R. L. Eubank
Citations20
SJR quartileQ1
SJR score0.78
SNIP1.50
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
Abstract A simple, closed-form expression is derived for a linear smoothing spline. Examples are given of how this can be used as a pedagogical tool to help students understand the properties of smoothing splines and compare them with other nonparametric estimators.
Keywords
Decision SciencesMathematicsEnvironmental Science
Density Estimation for Statistics and Data Analysis
15,768 Citations2018B.W. Silverman
Journal of the American Statistical AssociationSpline Models for Observational Data.
5,025 Citations1991Hans‐Georg Müller, Grace Wahba
The American StatisticianAn Introduction to Kernel and Nearest-Neighbor Nonparametric Regression
4,843 Citations1992Naomi Altman
Kernel and nearest-neighbor regression estimators are local versions of univariate location estimators, and so they can readily be introduced to beginning students and consulting clients who are familiar with such summaries as the sample mean and median.
The Annals of StatisticsSpline Smoothing: The Equivalent Variable Kernel Method
444 Citations1984Bernard W. Silverman
TechnometricsNonparametric Regression Analysis of Longitudinal Data
333 Citations1990R. L. Eubank, Hans‐Georg Müller +1 more
Lecture notes in statisticsNonparametric Regression Analysis of Longitudinal Data
275 Citations1988Hans‐Georg Müller
Society for Industrial and Applied Mathematics eBooksNonparametric Function Estimation, Modeling, and Simulation
138 Citations1990James R. Thompson, R. A. Tapia
The Annals of StatisticsA Comparison of a Spline Estimate to its Equivalent Kernel Estimate
45 Citations1991Karen Messer
