Efficient Estimation of the Nonparametric Mean and Covariance Functions for Longitudinal and Sparse Functional Data
Efficient Estimation of the Nonparametric Mean and Covariance Functions for Longitudinal and Sparse Functional Data
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DOI：
10.1080/01621459.2017.1356317
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发表时间：
2018-10
影响因子：
3.7
通讯作者：
Ling Zhou;Huazhen Lin;Hua Liang
中科院分区：
文献类型：
--
作者：
Ling Zhou;Huazhen Lin;Hua Liang
ABSTRACT We consider the estimation of mean and covariance functions for longitudinal and sparse functional data by using the full quasi-likelihood coupling a modification of the local kernel smoothing method. The proposed estimators are shown to be consistent, asymptotically normal, and semiparametrically efficient in terms of their linear functionals. Their superiority to the competitors is further illustrated numerically through simulation studies. The method is applied to analyze AIDS study and atmospheric study. Supplementary materials for this article are available online.
