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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

  • [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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Source :

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION

ISSN: 0361-0918

Year: 2021

Issue: 1

Volume: 50

Page: 164-179

0 . 9 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:31

JCR Journal Grade:3

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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