| 基于数据删除的Poisson-Gamma模型的影响评价 |
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| 引用本文： | 李爱萍,解锋昌.基于数据删除的Poisson-Gamma模型的影响评价[J].南京理工大学学报(自然科学版),2006,30(6):797-800. |
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| 作者姓名： | 李爱萍 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 |
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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： | 为了研究记数数据对于Poisson-Gamma模型的影响，该文通过引入EM算法，利用基于完全数据似然函数的条件期望进行影响诊断分析，并且进一步基于数据删除模型研究全局影响，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距离和Q-距离。最后，利用所得统计量获得一个实际记数数据中的影响点，结果说明该文提出的方法是有效的。
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| 关 键 词： | Poisson-Gamma回归 EM算法 数据删除模型 广义Cook距离 |
| 文章编号： | 1005-9830(2006)06-0797-04 |
| 收稿时间： | 2005-08-29 |
| 修稿时间： | 2006-10-05 |
Influence Analysis for Poisson-Gamma Models Based on Case-deletion |
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| LI Ai-ping,XIE Feng-chang.Influence Analysis for Poisson-Gamma Models Based on Case-deletion[J].Journal of Nanjing University of Science and Technology(Nature Science),2006,30(6):797-800. |
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| Authors: | LI Ai-ping XIE Feng-chang |
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| Institution: | Department of Mathematics, Nanjing Agricultural University, Nanjing 210095, China |
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| Abstract: | To study the effect of the count data on the Poisson-Gamma models, this paper develops the diagnostics analysis based on the conditional expectation of the complete-data log-likelihood function in the EM algorithm. The global sensitivity based on the case-deletion model is discussed, and some statistics, such as generalized Cook distance, Q-distance, are obtained. The influence cases in a real count data are obtained based on the statistics derived in the paper, and the result demonstrates that the method is effective. |
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| Keywords: | Poisson-Gamma regression models EM algorithm case-deletion model generalized Cook distance |
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