Local linear fitting and improved estimation near peaks

2009 ◽  
Vol 37 (3) ◽  
pp. 453-475 ◽  
Author(s):  
Lieven Desmet ◽  
Irène Gijbels
Keyword(s):  
Linear Fitting ◽  
Local Linear Fitting ◽  
Local Linear

scholarly journals LOCAL LINEAR FITTING UNDER NEAR EPOCH DEPENDENCE: UNIFORM CONSISTENCY WITH CONVERGENCE RATES

2012 ◽  
Vol 28 (5) ◽  
pp. 935-958 ◽  
Author(s):  
Degui Li ◽  
Zudi Lu ◽  
Oliver Linton
Keyword(s):  
Convergence Rates ◽  
Regression Function ◽  
Linear Estimator ◽  
Uniform Consistency ◽  
Linear Fitting ◽  
Semiparametric Modeling ◽  
Local Linear Fitting ◽  
Local Linear ◽  
Local Linear Estimator ◽  
Nonparametric Kernel

Local linear fitting is a popular nonparametric method in statistical and econometric modeling. Lu and Linton (2007, Econometric Theory23, 37–70) established the pointwise asymptotic distribution for the local linear estimator of a nonparametric regression function under the condition of near epoch dependence. In this paper, we further investigate the uniform consistency of this estimator. The uniform strong and weak consistencies with convergence rates for the local linear fitting are established under mild conditions. Furthermore, general results regarding uniform convergence rates for nonparametric kernel-based estimators are provided. The results of this paper will be of wide potential interest in time series semiparametric modeling.

scholarly journals LOCAL LINEAR FITTING UNDER NEAR EPOCH DEPENDENCE

2006 ◽  
Vol 23 (01) ◽  
Author(s):  
Zudi Lu ◽  
Oliver Linton
Keyword(s):  
Linear Fitting ◽  
Local Linear Fitting ◽  
Local Linear

Local-linear-fitting-based matting for joint hole filling and depth upsampling of RGB-D images

2019 ◽  
Vol 28 (03) ◽  
pp. 1
Author(s):  
Yanfu Zhang ◽  
Li Ding ◽  
Gaurav Sharma
Keyword(s):  
Hole Filling ◽  
Linear Fitting ◽  
Local Linear Fitting ◽  
Local Linear

Jump-Preserving Regression and Smoothing using Local Linear Fitting: A Compromise

2006 ◽  
Vol 59 (2) ◽  
pp. 235-272 ◽  
Author(s):  
Irène Gijbels ◽  
Alexandre Lambert ◽  
Peihua Qiu
Keyword(s):  
Linear Fitting ◽  
Local Linear Fitting ◽  
Local Linear

Penalized Parametric PET Image Estimation Using Local Linear Fitting

2020 ◽  
Vol 4 (6) ◽  
pp. 750-758
Author(s):  
Kyungsang Kim ◽  
Kuang Gong ◽  
Sung-Hyun Moon ◽  
Georges El Fakhri ◽  
Marc D. Normandin ◽  
...  
Keyword(s):  
Image Estimation ◽  
Linear Fitting ◽  
Local Linear Fitting ◽  
Local Linear

scholarly journals Smoothing and preservation of irregularities using local linear fitting

2008 ◽  
Vol 53 (3) ◽  
pp. 177-194 ◽  
Author(s):  
Irène Gijbels
Keyword(s):  
Linear Fitting ◽  
Local Linear Fitting ◽  
Local Linear

3D face sparse reconstruction based on local linear fitting

2013 ◽  
Vol 30 (2) ◽  
pp. 189-200 ◽  
Author(s):  
Liu Ding ◽  
Xiaoqing Ding ◽  
Chi Fang
Keyword(s):  
Sparse Reconstruction ◽  
Linear Fitting ◽  
3D Face ◽  
Local Linear Fitting ◽  
Local Linear
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