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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

Year: 2018

Issue: 19

Volume: 47

Page: 4673-4691

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:63

JCR Journal Grade:4

Cited Count:

WoS CC Cited Count: 8

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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