Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects

Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects

We propose a quasi-likelihood nonlinear model with random effects, which is a hybrid extension of quasi-likelihood nonlinear models and generalized linear mixed models. It includes a wide class of existing models as examples. A novel penalized quasi-likelihood estimation method is introduced. Based...

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Main Authors: Tian Xia, Jiancheng Jiang, Xuejun Jiang
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2018/4878925
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spelling doaj-217a2a76b31d4c1f87b3b0282331840e2020-11-25T00:38:51ZengHindawi LimitedJournal of Probability and Statistics1687-952X1687-95382018-01-01201810.1155/2018/48789254878925Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random EffectsTian Xia0Jiancheng Jiang1Xuejun Jiang2School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaDepartment of Mathematics and Statistics, University of North Carolina at Charlotte, NC 28223, USADepartment of Mathematics, Southern University of Science and Technology, Shenzhen 518055, ChinaWe propose a quasi-likelihood nonlinear model with random effects, which is a hybrid extension of quasi-likelihood nonlinear models and generalized linear mixed models. It includes a wide class of existing models as examples. A novel penalized quasi-likelihood estimation method is introduced. Based on the Laplace approximation and a penalized quasi-likelihood displacement, local influence of minor perturbations on the data set is investigated for the proposed model. Four concrete perturbation schemes are considered in the local influence analysis. The effectiveness of the proposed methodology is illustrated by some numerical examinations on a pharmacokinetics dataset.http://dx.doi.org/10.1155/2018/4878925
collection DOAJ
language English
format Article
sources DOAJ
author Tian Xia
Jiancheng Jiang
Xuejun Jiang
spellingShingle Tian Xia
Jiancheng Jiang
Xuejun Jiang
Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects
Journal of Probability and Statistics
author_facet Tian Xia
Jiancheng Jiang
Xuejun Jiang
author_sort Tian Xia
title Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects
title_short Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects
title_full Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects
title_fullStr Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects
title_full_unstemmed Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects
title_sort local influence analysis for quasi-likelihood nonlinear models with random effects
publisher Hindawi Limited
series Journal of Probability and Statistics
issn 1687-952X
1687-9538
publishDate 2018-01-01
description We propose a quasi-likelihood nonlinear model with random effects, which is a hybrid extension of quasi-likelihood nonlinear models and generalized linear mixed models. It includes a wide class of existing models as examples. A novel penalized quasi-likelihood estimation method is introduced. Based on the Laplace approximation and a penalized quasi-likelihood displacement, local influence of minor perturbations on the data set is investigated for the proposed model. Four concrete perturbation schemes are considered in the local influence analysis. The effectiveness of the proposed methodology is illustrated by some numerical examinations on a pharmacokinetics dataset.
url http://dx.doi.org/10.1155/2018/4878925
work_keys_str_mv AT tianxia localinfluenceanalysisforquasilikelihoodnonlinearmodelswithrandomeffects
AT jianchengjiang localinfluenceanalysisforquasilikelihoodnonlinearmodelswithrandomeffects
AT xuejunjiang localinfluenceanalysisforquasilikelihoodnonlinearmodelswithrandomeffects
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