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Non parametric regression estimations over Lp risk based on biased data

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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.… Click to show full abstract

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.

Keywords: parametric regression; regression; biased data; based biased; non parametric; chesneau shirazi

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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