Constrained penalized splines

DOI10.1002/cjs.10137zbMath1236.62033OpenAlexW2031366893MaRDI QIDQ3225777

Mary C. Meyer

Publication date: 22 March 2012

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cjs.10137

zbMATH Keywords

model selectioncone projectionmonotone regressionconvex regressionfunction estimation

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items

Efficient estimation of smoothing spline with exact shape constraints, Fusion of hard and soft information in nonparametric density estimation, Unimodal regression using Bernstein–Schoenberg splines and penalties, Fast and flexible methods for monotone polynomial fitting, Penalized I-spline monotone regression estimation, Change-point estimation using shape-restricted regression splines, On univariate function identification problems, A flexible sequential Monte Carlo algorithm for parametric constrained regression, Asymptotics and smoothing parameter selection for penalized spline regression with various loss functions, Bayesian analysis of first-order Markov models for autocorrelated binary responses, Variational analysis of constrained M-estimators, Copula Link-Based Additive Models for Right-Censored Event Time Data, Describing the concentration of income populations by functional principal component analysis on Lorenz curves, Concave regression: value-constrained estimation and likelihood ratio-based inference, Multivariate epi-splines and evolving function identification problems, Shape constrained additive models, Estimating the Probability that a Function Observed with Noise Is Convex, Spline estimation of generalised monotonic regression, Constrained spline regression in the presence of AR(p) errors, On constrained smoothing and out-of-range prediction using \(P\)-splines: a conic optimization approach, Estimation and inference for partial linear regression surfaces using monotone warped-plane splines

Uses Software

• SemiPar

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inference using shape-restricted regression splines
• Smoothing noisy data under monotonicity constraints existence, characterization and convergence rates
• Estimating a smooth monotone regression function
• Isotonic smoothing splines under sequential designs
• A general projection framework for constrained smoothing.
• Flexible smoothing with \(B\)-splines and penalties. With comments and a rejoinder by the authors
• Projection estimation in multiple regression with application to functional ANOVA models
• Local asymptotics for regression splines and confidence regions
• Testing for monotonicity of a regression mean by calibrating for linear functions.
• Testing monotonicity of regression.
• Nonparametric kernel regression subject to monotonicity constraints
• On nonparametric tests of positivity/monotonicity/convexity
• Testing the monotonicity or convexity of a function using regression splines
• Constrained Statistical Inference
• Asymptotic properties of penalized spline estimators
• On the asymptotics of penalized splines
• Estimating Smooth Monotone Functions
• Monotonic Smoothing Splines Fitted by Cross Validation
• Consistent maximum likelihood estimation of a unimodal density using shape restrictions
• Smoothing Splines and Shape Restrictions