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Wavelet estimations for mixed densities under multiplicative censoring
Authors:Kaikai Cao  Jinru Wang  Xiaochen Zeng
Institution:College of Applied Sciences, Beijing University of Technology, Beijing, China
Abstract:Using compactly supported wavelets, Chaubey et al consider L2-risk estimation for mixed density under multiplicative censoring (Chaubey YP, Chesneau C, Doosti H. Adaptive wavelet estimation of a density from mixtures under multiplicative censoring. Statistics, 2015, 49: 638-659). In this paper, we try to discuss Lp-risk (1 ≤ p<) estimation for that statistical model of the linear and nonlinear wavelet estimators respectively. Our results can be seen as an extension of the work of Chaubey et al.
Keywords:Besov spaces  density estimation  multiplicative censoring  Lp risk  wavelets
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