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

Xia, Tian1; Jiang, Jiancheng2; Jiang, Xuejun3

2018

10.1155/2018/4878925

Journal of Probability and Statistics   影响因子和分区

1687-952X

1687-9538

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.

ESCI

英语

通讯

NSFC[11361013][11571161] ; Science and Technology Foundation of Guizhou Province of China[(2008)2249] ; Natural Science Foundation of Guangdong Province of China[2016A030313856] ; Shenzhen Sci-Tech Fund[JCYJ20170307110329106]

Mathematics

Statistics & Probability

WOS:000441980200001

HINDAWI LTD

Web of Science

1.Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China;
2.Univ North Carolina Charlotte, Dept Math & Stat, Charlotte, NC 28223 USA;
3.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China

Xia, Tian,Jiang, Jiancheng,Jiang, Xuejun. Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects[J]. Journal of Probability and Statistics,2018,2018.

Xia, Tian,Jiang, Jiancheng,&Jiang, Xuejun.(2018).Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects.Journal of Probability and Statistics,2018.

Xia, Tian,et al."Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects".Journal of Probability and Statistics 2018(2018).