Block Empirical Likelihood for Semiparametric Varying-Coefficient Partially Linear Errors-in-Variables Models with Longitudinal Data

Block empirical likelihood inference for semiparametric varying-coeffcient partially linear errors-in-variables models with longitudinal data is investigated. We apply the block empirical likelihood procedure to accommodate the within-group correlation of the longitudinal data. The block empirical l...

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Main Authors: Yafeng Xia, Hu Da
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2013/807135
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author Yafeng Xia
Hu Da
author_facet Yafeng Xia
Hu Da
author_sort Yafeng Xia
collection DOAJ
description Block empirical likelihood inference for semiparametric varying-coeffcient partially linear errors-in-variables models with longitudinal data is investigated. We apply the block empirical likelihood procedure to accommodate the within-group correlation of the longitudinal data. The block empirical log-likelihood ratio statistic for the parametric component is suggested. And the nonparametric version of Wilk’s theorem is derived under mild conditions. Simulations are carried out to access the performance of the proposed procedure.
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institution Kabale University
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spelling doaj-art-ca0dfe54717a49349960c0bfea7bab672025-02-03T06:06:06ZengWileyJournal of Probability and Statistics1687-952X1687-95382013-01-01201310.1155/2013/807135807135Block Empirical Likelihood for Semiparametric Varying-Coefficient Partially Linear Errors-in-Variables Models with Longitudinal DataYafeng Xia0Hu Da1School of Science, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaSchool of Science, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaBlock empirical likelihood inference for semiparametric varying-coeffcient partially linear errors-in-variables models with longitudinal data is investigated. We apply the block empirical likelihood procedure to accommodate the within-group correlation of the longitudinal data. The block empirical log-likelihood ratio statistic for the parametric component is suggested. And the nonparametric version of Wilk’s theorem is derived under mild conditions. Simulations are carried out to access the performance of the proposed procedure.http://dx.doi.org/10.1155/2013/807135
spellingShingle Yafeng Xia
Hu Da
Block Empirical Likelihood for Semiparametric Varying-Coefficient Partially Linear Errors-in-Variables Models with Longitudinal Data
Journal of Probability and Statistics
title Block Empirical Likelihood for Semiparametric Varying-Coefficient Partially Linear Errors-in-Variables Models with Longitudinal Data
title_full Block Empirical Likelihood for Semiparametric Varying-Coefficient Partially Linear Errors-in-Variables Models with Longitudinal Data
title_fullStr Block Empirical Likelihood for Semiparametric Varying-Coefficient Partially Linear Errors-in-Variables Models with Longitudinal Data
title_full_unstemmed Block Empirical Likelihood for Semiparametric Varying-Coefficient Partially Linear Errors-in-Variables Models with Longitudinal Data
title_short Block Empirical Likelihood for Semiparametric Varying-Coefficient Partially Linear Errors-in-Variables Models with Longitudinal Data
title_sort block empirical likelihood for semiparametric varying coefficient partially linear errors in variables models with longitudinal data
url http://dx.doi.org/10.1155/2013/807135
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AT huda blockempiricallikelihoodforsemiparametricvaryingcoefficientpartiallylinearerrorsinvariablesmodelswithlongitudinaldata