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Author:

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

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

JOURNAL OF MULTIVARIATE ANALYSIS

ISSN: 0047-259X

Year: 2014

Volume: 127

Page: 1-18

1 . 6 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:81

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 24

SCOPUS Cited Count: 23

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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