Quantile regression: a nonparametric approach
Computational Statistics & Data Analysis - Second Special Issue on Statistical Data Analysis Based on the :CL:A:0I1:0E Norm
A convergent algorithm for quantile regression with smoothing splines
Computational Statistics & Data Analysis
An algorithm for quantile smoothing splines
Computational Statistics & Data Analysis
On spline estimators and prediction intervals in nonparametric regression
Computational Statistics & Data Analysis
Quantile regression without the curse of unsmoothness
Computational Statistics & Data Analysis
Smoothing sample extremes: The mixed model approach
Computational Statistics & Data Analysis
Modern Applied Statistics with S
Modern Applied Statistics with S
Editorial for the special issue on quantile regression and semiparametric methods
Computational Statistics & Data Analysis
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A new technique based on Bayesian quantile regression that models the dependence of a quantile of one variable on the values of another using a natural cubic spline is presented. Inference is based on the posterior density of the spline and an associated smoothing parameter and is performed by means of a Markov chain Monte Carlo algorithm. Examples of the application of the new technique to two real environmental data sets and to simulated data for which polynomial modelling is inappropriate are given. An aid for making a good choice of proposal density in the Metropolis-Hastings algorithm is discussed. The new nonparametric methodology provides more flexible modelling than the currently used Bayesian parametric quantile regression approach.