3 citations · 10 across the 10 of their papers we have counts for
4 papers · 1 filter
Smoothing splines with varying smoothing parameter
Xiao Wang, Pang Du, Jinglai Shen
This paper considers the development of spatially adaptive smoothing splines for the estimation of a regression function with non-homogeneous smoothness across the domain. Two chal…
Minimax Optimal Estimation of Convex Functions in the Supreme Norm
Teresa M. Lebair, Jinglai Shen, Xiao Wang
Estimation of convex functions finds broad applications in engineering and science, while convex shape constraint gives rise to numerous challenges in asymptotic performance analys…
Uniform Convergence and Rate Adaptive Estimation of a Convex Function
Xiao Wang, Jinglai Shen
This paper addresses the problem of estimating a convex regression function under both the sup-norm risk and the pointwise risk using B-splines. The presence of the convex constrai…
Local Asymptotics of P-Spline Smoothing
Xiao Wang, Jinglai Shen, David Ruppert
This paper addresses asymptotic properties of general penalized spline estimators with an arbitrary B-spline degree and an arbitrary order difference penalty. The estimator is appr…