| INFLUENCE ANALYSIS ON EXPONENTIAL NONLINEAR MODELS WITH RANDOM EFFECTS |
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| 作者姓名： | 宗序平 赵俊 王海斌 韦博成 |
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| 作者单位： | Department of Mathematics，Yangzhou University，Yangzhou 225001，China，Department of Mathematics，Yangzhou University，Yangzhou 225001，China，Department of Mathematics，Southeast University，Nanjing 210096，China，Department of Mathematics，Southeast University，Nanjing 210096，China |
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| 基金项目： | NSFC(1963104),NSFJ and the grand Of YZU |
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| 摘 要： | This paper presents a unified diagnostic method for exponential nonlinearmodels 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
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| 收稿时间： | 20 March 2000 |
INFLUENCE ANALYSIS ON EXPONENTIAL NONLINEAR MODELS WITH RANDOM EFFECTS |
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| Zhong Xuping Zhao Jun.INFLUENCE ANALYSIS ON EXPONENTIAL NONLINEAR MODELS WITH RANDOM EFFECTS[J].Acta Mathematica Scientia,2003,23(3):297-308. |
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| Authors: | Zhong Xuping Zhao Jun |
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| Institution: | Zhong Xuping Zhao Jun
Department of Mathematics,Yangzhou University,Yangzhou 225001,China
Wang Haibin Wei Bocheng
Department of Mathematics,Southeast University,Nanjing 210096,China |
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| Abstract: | 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. |
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| Keywords: | Cook distance exponential nonlinear models fixed effects local influence random effects |
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