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Article
Wavelet Optimal Estimations for a Multivariate Probability Density Function Under Weighted Distribution
The purpose of this paper is the pointwise estimation of a multivariate probability density function with weighted distribution using wavelet methods. New theoretical contributions are provided; Point-wise con...
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Article
Convergence Rates of Wavelet Density Estimators for Strongly Mixing Samples
This paper considers wavelet estimations for a multivariate density function based on strongly mixing data. We first construct a linear wavelet estimator and provide a convergence rate over
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Chapter and Conference Paper
Linear Wavelet Estimation in Regression with Additive and Multiplicative Noise
In this paper, we deal with the estimation of an unknown function from a nonparametric regression model with both additive and multiplicative noises. The case of the uniform multiplicative noise is considered....
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Article
Open AccessPointwise density estimation based on negatively associated data
In this paper, we consider pointwise estimation over lp\(l^{p}\) (1≤p<∞)\((1\leq p<\infty )\) risk for a density function based on a negatively associated sample. We construct linear and nonlinear wavelet estimat...
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Article
Pointwise Wavelet Estimation of Regression Function Based on Biased Data
In this paper, we establish wavelet estimations on pointwise \(l^{p}(1\le p<\infty )\)lp(1≤p<∞) risk for multivariate regression functions based on biased data. We firstly introduce a linear wavelet estimator and...
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Article
Wavelet regression estimations with strong mixing data
Using a wavelet basis, we establish in this paper upper bounds of wavelet estimation on \( L^{p}({\mathbb {R}}^{d}) \) ...
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Article
Open AccessWavelet density estimation for mixing and size-biased data
This paper considers wavelet estimation for a multivariate density function based on mixing and size-biased data. We provide upper bounds for the mean integrated squared error (MISE) of wavelet estimators. It ...
