Wavelet estimations for mixed densities under multiplicative censoring

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 t...

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Published inMathematical methods in the applied sciences Vol. 43; no. 2; pp. 808 - 821
Main Authors Cao, Kaikai, Wang, Jinru, Zeng, Xiaochen
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.01.2020
Subjects
Besov spaces
Density
density estimation
Lp risk
multiplicative censoring
Statistical models
Wavelet analysis
wavelets
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Summary: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5961