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对数幂广义威布尔回归模型的全局影响分析
引用本文:韩明鸣,曲昊,解锋昌.对数幂广义威布尔回归模型的全局影响分析[J].三峡大学学报(自然科学版),2009,31(5):109-112.
作者姓名:韩明鸣  曲昊  解锋昌
作者单位:南京农业大学,数学系,南京,210095
基金项目:国家自然科学基金项目 
摘    要:基于幂广义威布尔模型,文章给出了对数幂广义威布尔回归模型并研究了相应的参数估计.同时利用数据删除方法详细探讨了该回归模型全局影响问题,得到了数据删除模型中参数估计的一步近似和相应的广义Cook距离、似然距离和WK统计量.最后。通过数值实例验证了文章中给出的诊断方法的有效性.

关 键 词:对数幂广义威布尔回归模型  数据删除模型  广义Cook距离  似然距离  WK统计量

Global Influence Analysis of Log-generalized-power-Weibull Regression Models
Han Mingming,Qu Hao,Xie Fengchang.Global Influence Analysis of Log-generalized-power-Weibull Regression Models[J].Journal of China Three Gorges University(Natural Sciences),2009,31(5):109-112.
Authors:Han Mingming  Qu Hao  Xie Fengchang
Institution:Han Mingming Qu Hao Xie Fengchang (Department of Mathematics, Nanjing Agricultural University, Nanjing 210095, China)
Abstract:A log-generalized-power-Weibull regression model is given based on power generalized Weibull model; and parameter estimation is studied. Meanwhile, global influence diagnostics for log-generalized-pow- er-Weibull regression models is dicussed in detail based on case-deletion model (CDM). The one-step approxi- mations of the estimates and generalized Cook distance, WK measures and Likelihood distance are obtained. Finally, the effectiveness of statistics obtained in this paper is verified through a numerical example.
Keywords:log-generalized-power-Weibull regression models  case-deletion model  generalized Cook distance  likelihood distance  WK measures
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