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Author:

Xue, Liugen (Xue, Liugen.) (Scholars:薛留根) | Wang, Qihua (Wang, Qihua.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we develop statistical inference techniques for the unknown coefficient functions and single-index parameters in single-index varying-coefficient models. We first estimate the nonparametric component via the local linear fitting, then construct an estimated empirical likelihood ratio function and hence obtain a maximum empirical likelihood estimator for the parametric component. Our estimator for parametric component is asymptotically efficient, and the estimator of nonparametric component has an optimal convergence rate. Our results provide ways to construct the confidence region for the involved unknown parameter. We also develop an adjusted empirical likelihood ratio for constructing the confidence regions of parameters of interest. A simulation study is conducted to evaluate the finite sample behaviors of the proposed methods.

Keyword:

confidence region nonparametric component single-index varying-coefficient model empirical likelihood parametric component

Author Community:

  • [ 1 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Qihua]Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
  • [ 3 ] [Wang, Qihua]Yunnan Univ, Sch Math & Stat, Kunming 650091, Peoples R China

Reprint Author's Address:

  • 薛留根

    [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

BERNOULLI

ISSN: 1350-7265

Year: 2012

Issue: 3

Volume: 18

Page: 836-856

1 . 5 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 48

SCOPUS Cited Count: 52

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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