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作者:

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

收录:

Scopus SCIE

摘要:

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.

关键词:

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

作者机构:

  • [ 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

通讯作者信息:

  • 薛留根

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

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来源 :

BERNOULLI

ISSN: 1350-7265

年份: 2012

期: 3

卷: 18

页码: 836-856

1 . 5 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:74

JCR分区:2

中科院分区:3

被引次数:

WoS核心集被引频次: 47

SCOPUS被引频次: 49

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 3

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