Wavelet estimations for mixed densities under multiplicative censoring

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.