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Author:

Li, Wanbin (Li, Wanbin.) | Xue, Liugen (Xue, Liugen.) (Scholars:薛留根) | Zhao, Peixin (Zhao, Peixin.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, the empirical likelihood-based inference is investigated with varying coefficient panel data models with fixed effect. A naive empirical likelihood ratio is firstly proposed after the fixed effect is corrected. The maximum empirical likelihood estimators for the coefficient functions are derived as well as their asymptotic properties. Wilk's phenomenon of this naive empirical likelihood ratio is proven under a undersmoothing assumption. To avoid the requisition of undersmoothing and perform an efficient inference, a residual-adjusted empirical likelihood ratio is further suggested and shown as having a standard chi-square limit distribution, by which the confidence regions of the coefficient functions are constructed. Another estimators for the coefficient functions, together with their asymptotic properties, are considered by maximizing the residual-adjusted empirical log-likelihood function under an optimal bandwidth. The performances of these proposed estimators and confidence regions are assessed through numerical simulations and a real data analysis.

Keyword:

Varying coefficient fixed effect models empirical likelihood inference panel data

Author Community:

  • [ 1 ] [Li, Wanbin]Yancheng Teachers Univ, Sch Math & Stat, Yancheng 224002, Jiangsu, Peoples R China
  • [ 2 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
  • [ 3 ] [Zhao, Peixin]Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing, Peoples R China

Reprint Author's Address:

  • [Li, Wanbin]Yancheng Teachers Univ, Sch Math & Stat, Yancheng 224002, Jiangsu, Peoples R China

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Source :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

Year: 2020

Issue: 14

Volume: 51

Page: 4973-4990

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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