%A LU Yi-qiang;MAO Shi-song
%T Bayesian Spline Nonparametric Regression
%0 Journal Article
%D 2004
%J Journal of East China Normal University(Natural Science)
%R
%P 33-39,9
%V 2004
%N 4
%U {https://xblk.ecnu.edu.cn/CN/abstract/article_24251.shtml}
%8 2004-12-25
%X In this paper the nonparametric regression model y= f(x)+ε, where f (x) is a smoothing function, is considered. The nonparametric regression f (x) is approximated by a spline function. The knot number is not fixed but given a noninformation prior, by which the uncertainty of the knot number is studied. The regression f(x) is estimated by the method of Bayesian model averaging and the posterior interval is also estimated.