scholarly journals Estimating the remaining useful life of bearings using a neuro-local linear estimator-based method

2017 ◽  
Vol 141 (5) ◽  
pp. EL452-EL457 ◽  
Author(s):  
Wasim Ahmad ◽  
Sheraz Ali Khan ◽  
Jong-Myon Kim
Keyword(s):  
Remaining Useful Life ◽  
Linear Estimator ◽  
Local Linear ◽  
Local Linear Estimator ◽  
Useful Life

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.

A Recursive Local Linear Estimator for Identification of Nonlinear ARX Systems*

2012 ◽  
Vol 45 (16) ◽  
pp. 1517-1522 ◽  
Author(s):  
Wen-Xiao Zhao ◽  
Wei Xing Zheng ◽  
Er-Wei Bai
Keyword(s):  
Linear Estimator ◽  
Local Linear ◽  
Local Linear Estimator
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