CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2010, 26(2) 190-206 DOI:      ISSN: 1001-4268 CN: 31-1256

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Keywords
Longitudinal data
single-index model
empirical likelihood
confidence region.
Authors
Li Gaorong
Feng Sanying
Xue Liugen
PubMed
Article by
Article by
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Empirical Likelihood Confidence Regions of the Parametersin Single-Index Models for Longitudinal Data

Li Gaorong,Feng Sanying,Xue Liugen

College of Applied Sciences,Beijing University of Technology School of Finance and Statistics,East China Normal University College of Mathematics and Science,Luoyang Normal University

Abstract��

In this paper, the single-index model
for longitudinal data is considered, three empirical log-likelihood
ratio statistics for the unknown parameters in the model are
suggested to accommodate the independence of different subjects for
longitudinal data. It is proved that the proposed statistics are
asymptotically chi-square distribution under some suitable
conditions, and hence they can be used to construct the confidence
regions of the parameters. Furthermore, it is shown that the bias
corrected empirical log-likelihood ratio shares some desired
features. A simulation study is conducted to illustrate our
methods.

Keywords�� Longitudinal data   single-index model   empirical likelihood   confidence region.  
Received 1900-01-01 Revised 1900-01-01 Online:  
DOI:
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Corresponding Authors: Li Gaorong
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