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Wavelet estimations for mixed densities under multiplicative censoring
Author(s) -
Cao Kaikai,
Wang Jinru,
Zeng Xiaochen
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5961
Subject(s) - mathematics , censoring (clinical trials) , multiplicative function , estimator , wavelet , statistics , mathematical analysis , artificial intelligence , computer science
Using compactly supported wavelets, Chaubey et al consider L 2 ‐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 L p ‐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.