Non parametric derivative estimation with confidence bands

DOI10.1080/03610926.2013.830749zbMath1338.62120OpenAlexW1963651632MaRDI QIDQ2807680

Qiongxia Song

Publication date: 25 May 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.830749

zbMATH Keywords

splinederivative estimationnonparametric regressionconfidence band

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric tolerance and confidence regions (62G15)

Uses Software

• fda (R)

Cites Work

• Spline confidence bands for functional derivatives
• Sizer analysis for the comparison of regression curves
• On confidence bands in nonparametric density estimation and regression
• Asymptotic maximal deviation of M-smoothers
• Change-points in nonparametric regression analysis
• On the maximal deviation of k-dimensional density estimates
• A remark on the approximation of the sample DF in the multidimensional case
• Bootstrap confidence bands for regression curves and their derivatives
• Applied functional data analysis. Methods and case studies
• Local asymptotics for regression splines and confidence regions
• On some global measures of the deviations of density function estimates
• Weak and strong uniform consistency of kernel regression estimates
• Bias-corrected Confidence Bands in Nonparametric Regression
• Spline confidence bands for variance functions
• A practical guide to splines.