Bayesian regression under combinations of constraints

DOI10.1016/j.jspi.2012.03.009zbMath1428.62147OpenAlexW2092211742MaRDI QIDQ447635

Christophe Abraham

Publication date: 4 September 2012

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2012.03.009

zbMATH Keywords

discretizationMCMC algorithmsBayesian regressionshape restrictionsintegrated Brownian motion

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Bayesian inference (62F15)

Related Items (4)

Nonparametric adaptive Bayesian regression using priors with tractable normalizing constants and under qualitative assumptions ⋮ Bayesian regression with B‐splines under combinations of shape constraints and smoothness properties ⋮ Estimation of the regression function by Legendre wavelets ⋮ Nonparametric Bayesian Regression Under Combinations of Local Shape Constraints

Uses Software

• CODA
• Gibbsit

Cites Work

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• Inference using shape-restricted regression splines
• A computation method in robust Bayesian decision theory
• Monotone nonparametric regression
• Isotonic, convex and related splines
• Estimating a smooth monotone regression function
• Nonparametric regression under qualitative smoothness assumptions
• A distribution-free theory of nonparametric regression
• A nonparametric Bayes method for isotonic regression
• Bayesian Isotonic Regression and Trend Analysis
• A Bayesian Approach to Non-Parametric Monotone Function Estimation
• Estimating Smooth Monotone Functions
• Inequality-Constrained Multivariate Smoothing Splines with Application to the Estimation of Posterior Probabilities
• Radon-Nikodym Derivatives of Gaussian Measures

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