Nonparametric Functional Estimation (B. L. S. Prakasa Rao)

SIAM Review ◽  
1986 ◽  
Vol 28 (1) ◽  
pp. 123-125
Author(s):  
Alexander Samarov
Keyword(s):  
Functional Estimation ◽  
Nonparametric Functional Estimation

scholarly journals Nonparametric Pointwise Estimation for a Regression Model with Multiplicative Noise

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Jia Chen ◽  
Junke Kou
Keyword(s):  
Multiplicative Noise ◽  
Convergence Rates ◽  
Linear Estimator ◽  
Estimation Model ◽  
Functional Estimation ◽  
Nonparametric Regression Estimation ◽  
Pointwise Error ◽  
Regression Estimators ◽  
Pointwise Estimation ◽  
Nonparametric Functional Estimation

In this paper, we consider a general nonparametric regression estimation model with the feature of having multiplicative noise. We propose a linear estimator and nonlinear estimator by wavelet method. The convergence rates of those regression estimators under pointwise error over Besov spaces are proved. It turns out that the obtained convergence rates are consistent with the optimal convergence rate of pointwise nonparametric functional estimation.

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