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作者:

Hu, Yuping (Hu, Yuping.) | Xue, Liugen (Xue, Liugen.) (学者:薛留根) | Feng, Sanying (Feng, Sanying.)

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EI Scopus SCIE

摘要:

C In this paper, we consider the empirical likelihood inferences of the partial functional linear model with missing responses. Two empirical log-likelihood ratios of the parameters of interest are constructed, and the corresponding maximum empirical likelihood estimators of parameters are derived. Under some regularity conditions, we show that the proposed two empirical log-likelihood ratios are asymptotic standard Chi-squared. Thus, the asymptotic results can be used to construct the confidence intervals/regions for the parameters of interest. We also establish the asymptotic distribution theory of corresponding maximum empirical likelihood estimators. A simulation study indicates that the proposed methods are comparable in terms of coverage probabilities and average lengths of confidence intervals. An example of real data is also used to illustrate our proposed methods.

关键词:

Confidence interval Empirical likelihood Functional data Missing data Partial functional linear model

作者机构:

  • [ 1 ] [Hu, Yuping]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Hu, Yuping]Zhengzhou Univ, Sch Math & Stat, Zhengzhou, Henan, Peoples R China
  • [ 4 ] [Feng, Sanying]Zhengzhou Univ, Sch Math & Stat, Zhengzhou, Henan, Peoples R China

通讯作者信息:

  • [Hu, Yuping]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

年份: 2018

期: 19

卷: 47

页码: 4673-4691

0 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:34

JCR分区:4

被引次数:

WoS核心集被引频次: 6

SCOPUS被引频次: 6

ESI高被引论文在榜: 0 展开所有

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