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作者:

Yang, Yiping (Yang, Yiping.) | Li, Gaorong (Li, Gaorong.) (学者:李高荣) | Peng, Heng (Peng, Heng.)

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摘要:

In this paper, we investigate the empirical likelihood inferences of varying coefficient errors-in-variables models with longitudinal data. The naive empirical log-likelihood ratios for the time-varying coefficient function based on the global and local variance structures are introduced. The corresponding maximum empirical likelihood estimators of the time-varying coefficients are derived, and their asymptotic properties are established. Wilks' phenomenon of the naive empirical log-likelihood ratio, which ignores the within subject correlation, is proven through the employment of undersmoothing. To avoid the undersmoothing, we recommend a residual-adjust empirical log-likelihood ratio and prove that its asymptotic distribution is standard chi-squared. Thus, this result can be used to construct the confidence regions of the time-varying coefficients. We also establish the asymptotic distribution theory for the corresponding residual-adjust maximum empirical likelihood estimator and find it to be unbiased even when an optimal bandwidth is used. Furthermore, we consider the construction of the pointwise confidence interval for a component of the time-varying coefficients and provide the simulation studies to assess the finite sample performance, while we conduct a real example to illustrate the proposed method. (C) 2014 Elsevier Inc. All rights reserved.

关键词:

Empirical likelihood Errors-in-variables Longitudinal data Maximum empirical likelihood estimator Varying coefficients model

作者机构:

  • [ 1 ] [Yang, Yiping]Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
  • [ 2 ] [Li, Gaorong]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Peng, Heng]Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China

通讯作者信息:

  • [Peng, Heng]Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China

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来源 :

JOURNAL OF MULTIVARIATE ANALYSIS

ISSN: 0047-259X

年份: 2014

卷: 127

页码: 1-18

1 . 6 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:56

JCR分区:2

中科院分区:3

被引次数:

WoS核心集被引频次: 23

SCOPUS被引频次: 22

ESI高被引论文在榜: 0 展开所有

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