INFLUENCE ANALYSIS ON EXPONENTIAL NONLINEAR MODELS WITH RANDOM EFFECTS

This paper presents a unified diagnostic method for exponential nonlinear models with random effects based upon the joint likelihood given by Robinson in 1991. The authors show that the case deletion model is equivalent to mean shift outlier model. From this point of view, several diagnostic measure...

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Bibliographic Details
Published inActa mathematica scientia Vol. 23; no. 3; pp. 297 - 308
Main Author 宗序平 赵俊 王海斌 韦博成
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2003
Department of Mathematics,Yangzhou University,Yangzhou 225001,China%Department of Mathematics,Southeast University,Nanjing 210096,China
Subjects
62F25
Cook distance
Cook距离
exponential nonlinear models
fixed effects
local influence
random effects
事件删除模型
似然函数
固定效应
平均位移离群模型
影响分析
指数非线性模型
诊断方法
随机效应
random effects
Cook distance
local influence
62F25
fixed effects
exponential nonlinear models
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Summary:This paper presents a unified diagnostic method for exponential nonlinear models with random effects based upon the joint likelihood given by Robinson in 1991. The authors show that the case deletion model is equivalent to mean shift outlier model. From this point of view, several diagnostic measures, such as Cook distance, score statistics are derived. The local influence measure of Cook is also presented. Numerical example illustrates that our method is available.
Bibliography:O211.6
42-1227/O
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(17)30335-1