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摘要:
Empirical likelihood-based inference for the nonparametric components in additive partially linear models is investigated. An empirical likelihood approach to construct the confidence intervals of the nonparametric components is proposed when the linear covariate is measured with and without errors. We show that the proposed empirical log-likelihood ratio is asymptotically standard chi-squared without requiring the undersmoothing of the nonparametric components. Then, it can be directly used to construct the confidence intervals for the nonparametric functions. A simulation study indicates that, compared with a normal approximation-based approach, the proposed method works better in terms of coverage probabilities and widths of the pointwise confidence intervals.
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来源 :
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
ISSN: 0361-0918
年份: 2013
期: 9
卷: 42
页码: 1935-1947
0 . 9 0 0
JCR@2022
ESI学科: MATHEMATICS;
ESI高被引阀值:64
JCR分区:4
中科院分区:4
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