| ZIP回归模型的数据删除度量和广义杠杆 |
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| 引用本文： | 李爱萍,谷政,解锋昌. ZIP回归模型的数据删除度量和广义杠杆[J]. 南京林业大学学报(自然科学版), 2007, 31(6): 109-112 |
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| 作者姓名： | 李爱萍 谷政 解锋昌 |
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| 作者单位： | 南京农业大学数学系,江苏,南京,210095;南京农业大学数学系,江苏,南京,210095;南京农业大学数学系,江苏,南京,210095 |
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| 基金项目： | 国家自然科学基金 , 南京农业大学校科研和教改项目 |
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| 摘 要： | 为了探测含零较多的计数数据对ZIP回归模型的影响,基于EM算法和完全数据似然函数,笔者利用数据删除方法研究了模型的全局影响,得到了参数估计的一步近似表达式以及相应的广义Cook距离和Q-距离,并研究了在EM框架下的广义杠杆值.最后,通过实际问题说明了所得统计量的有效性.
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| 关 键 词： | ZIP回归 EM算法 数据删除 广义Cook距离 Q-距离 广义杠杆值 |
| 文章编号： | 1000-2006（2007）06-0109-04 |
| 收稿时间： | 2006-03-30 |
| 修稿时间： | 2006-12-20 |
Case Deletion Measures and Generalized Leverage for the Zero Inflated Poisson Regression Models |
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| LI Ai-ping,GU Zheng,XIE Feng-chang. Case Deletion Measures and Generalized Leverage for the Zero Inflated Poisson Regression Models[J]. Journal of Nanjing Forestry University(Natural Sciences ), 2007, 31(6): 109-112 |
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| Authors: | LI Ai-ping GU Zheng XIE Feng-chang |
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| Abstract: | To detect the effect of count data with many zeros on the zeroinflated poisson regression model, the authors studied the global diagnostics analysis and using the completedata log-likelihood function and the EM algorithm. The one-step approximation of parameter estimates and some statistics, such as generalized cook distance, Q - distance, are obtained.Meantime, the generalized leverage was discussed based on the EM algorithm. Finally, a numerical example was given to illustrate our results. |
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| Keywords: | Zero inflated poisson regression model EM algorithm Case-deletion Generalized Cook distance Q - distance Generalized leverage |
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