Non parametric regression estimations over Lp risk based on biased data |
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Authors: | Junke Kou |
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Institution: | Department of Applied Mathematics, Beijing University of Technology, Beijing, P. R. China |
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Abstract: | Using a wavelet basis, Chesneau and Shirazi study the estimation of one-dimensional regression functions in a biased non parametric model over L2 risk (see Chesneau, C and Shirazi, E. Non parametric wavelet regression based on biased data, Communication in Statistics – Theory and Methods, 43: 2642–2658, 2014). This article considers d-dimensional regression function estimation over Lp?(1 ? p < ∞) risk. It turns out that our results reduce to the corresponding theorems of Chesneau and Shirazi’s theorems, when d = 1 and p = 2. |
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Keywords: | Biased regression estimation Lp risk Wavelets |
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