On the asymptotics of penalized spline smoothing
From MaRDI portal
Publication:1952168
DOI10.1214/10-EJS593zbMath1274.65012arXiv0912.1824MaRDI QIDQ1952168
Jinglai Shen, Xiao Wang, David Ruppert
Publication date: 28 May 2013
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.1824
Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)
Related Items
Fast covariance estimation for high-dimensional functional data, Smoothing Splines Approximation Using Hilbert Curve Basis Selection, Semiparametric Regression Using Variational Approximations, Pointwise convergence in probability of general smoothing splines, Dynamic Penalized Splines for Streaming Data, Asymptotics and smoothing parameter selection for penalized spline regression with various loss functions, Cognitive Informatics: A Proper Framework for the Use of Fuzzy Dynamic Programming for the Modeling of Regional Development?, Testing for Long Memory Using Penalized Splines and Adaptive Neyman Methods, Asymptotics for penalised splines in generalised additive models, Direct determination of smoothing parameter for penalized spline regression, Asymptotics of bivariate penalised splines, Semiparametric Estimation of Longitudinal Medical Cost Trajectory, Semiparametric inference for open populations using the Jolly–Seber model: a penalized spline approach, A mixed model approach to measurement error in semiparametric regression, A penalized spline estimator for fixed effects panel data models, Asymptotic properties of penalized spline estimators in concave extended linear models: rates of convergence
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A statistical perspective on ill-posed inverse problems (with discussion)
- Smoothing splines: Regression, derivatives and deconvolution
- Spline smoothing: The equivalent variable kernel method
- Maximum penalized likelihood estimation. Volume II: Regression
- A comparison of a spline estimate to its equivalent kernel estimate
- Derivation of equivalent kernel for general spline smoothing: A system approach
- Flexible smoothing with \(B\)-splines and penalties. With comments and a rejoinder by the authors
- Optimal global rates of convergence for nonparametric regression
- Splines as local smoothers
- A new class of kernels for nonparametric curve estimation
- Equivalent kernels for smoothing splines
- Asymptotic properties of penalized spline estimators
- ON SEMIPARAMETRIC REGRESSION WITH O'SULLIVAN PENALIZED SPLINES
- Uniform error bounds for smoothing splines
- On the asymptotics of penalized splines
- An approximation of partial sums of independent RV'-s, and the sample DF. I
- A Kalman Filter Primer
- Theory for penalised spline regression
- A practical guide to splines.
- Smoothing spline ANOVA models
