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作者:

Zhao, Peixin (Zhao, Peixin.) | Xue, Liugen (Xue, Liugen.) (学者:薛留根)

收录:

EI Scopus SCIE

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.

关键词:

Additive model Empirical likelihood Errors-in-variables

作者机构:

  • [ 1 ] [Zhao, Peixin]Hechi Univ, Dept Math, Yizhou 546300, Guangxi, Peoples R China
  • [ 2 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

通讯作者信息:

  • [Zhao, Peixin]Hechi Univ, Dept Math, Yizhou 546300, Guangxi, Peoples R China

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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

被引次数:

WoS核心集被引频次: 4

SCOPUS被引频次: 4

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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