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作者:

Wang, Zhaoliang (Wang, Zhaoliang.) | Xue, Liugen (Xue, Liugen.)

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摘要:

For high dimensional linear model with error-in-variables, a novel debiased procedure is developed and analyzed to construct component-wise confidence intervals of the regression coefficient. The proposed method is not only able to account for measurement errors to avoid non-vanishing biases, but also to compensate the biases introduced by penalization. The resulting estimator is asymptotically unbiased and normal under mild conditions. Then it can be used to construct valid confidence intervals and conduct hypothesis tests. Results of an extensive simulation study are also presented to show the efficacy and usefulness of our procedure.

关键词:

high dimensional statistical inference Confidence interval Lasso error-in-variables sparsity

作者机构:

  • [ 1 ] [Wang, Zhaoliang]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 ] [Wang, Zhaoliang]Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

通讯作者信息:

  • [Wang, Zhaoliang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China;;[Wang, Zhaoliang]Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

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来源 :

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION

ISSN: 0361-0918

年份: 2021

期: 1

卷: 50

页码: 164-179

0 . 9 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:31

JCR分区:3

被引次数:

WoS核心集被引频次: 3

SCOPUS被引频次: 2

ESI高被引论文在榜: 0 展开所有

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