Results 211 to 220 of about 4,541 (238)

Bivariate Penalized Splines for Regression

Statistica Sinica, 2013
In this paper the asymptotic behavior of penalized spline estimators is studied using bivariate splines over triangulations and an energy functional as the penalty. The rate of L2 convergence is derived, which achieves the optimal nonparametric convergence rate established by Stone (1982).
Ming-Jun Lai, Li Wang
openaire   +1 more source

Penalized I-spline monotone regression estimation

Communications in Statistics - Simulation and Computation, 2019
We propose a penalized regression spline estimator for monotone regression. To construct the estimator, we adopt the I-splines with the total variation penalty.
Junsouk Choi, Jungjun Lee, Jae-Hwan Jhong, Ja-Yong Koo   +3 more
openaire   +1 more source

Semiparametric regression with shape-constrained penalized splines

Computational Statistics & Data Analysis, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin L. Hazelton, Berwin A. Turlach
openaire   +2 more sources

Data-driven selection of the spline dimension in penalized spline regression

Biometrika, 2011
A number of criteria exist to select the penalty in penalized spline regression, but the selection of the number of spline basis functions has received much less attention in the literature. We propose a likelihood-based criterion to select the number of basis functions in penalized spline regression.
Göran Kauermann, Jean D. Opsomer
openaire   +2 more sources

Spatially Adaptive Bayesian Penalized Regression Splines (P-splines)

Journal of Computational and Graphical Statistics, 2005
In this article we study penalized regression splines (P-splines), which are low-order basis splines with a penalty to avoid undersmoothing. Such P-splines are typically not spatially adaptive, and hence can have trouble when functions are varying rapidly.
Veerabhadran Baladandayuthapani, Bani K Mallick, Raymond J Carroll   +2 more
openaire   +1 more source

Hazard Regression for Interval‐Censored Data with Penalized Spline

Biometrics, 2003
Summary. This article introduces a new approach for estimating the hazard function for possibly interval‐ and right‐censored survival data. We weakly parameterize the log‐hazard function with a piecewise‐linear spline and provide a smoothed estimate of the hazard function by maximizing the penalized likelihood through a mixed model–based approach.
Cai, Tianxi, Betensky, Rebecca A.
openaire   +3 more sources

Penalized Splines and Reproducing Kernel Methods

The American Statistician, 2006
Two data analytic research areas—penalized splines and reproducing kernel methods—have become very vibrant since the mid-1990s. This article shows how the former can be embedded in the latter via theory for reproducing kernel Hilbert spaces. This connection facilitates cross-fertilization between the two bodies of research.
Pearce, N.D., Wand, M.P.
openaire   +2 more sources

Penalized Splines

2018
Jaroslaw Harezlak, David Ruppert, Matt P. Wand   +2 more
openaire   +1 more source

Selecting the smoothing parameter and knots for an extension of penalized splines to censored data

Journal of Statistical Computation and Simulation, 2021
Jesus Orbe
exaly  

Estimating functions and derivatives via adaptive penalized splines

Communications in Statistics Part B: Simulation and Computation, 2021
Lianqiang Yang, Yongmiao Hong
exaly