| 半参数ZI负二项回归模型的全局影响分析 |
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| 引用本文： | 曲昊,韩明鸣,解锋昌.半参数ZI负二项回归模型的全局影响分析[J].宁夏大学学报(自然科学版),2010,31(2):116-120. |
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| 作者姓名： | 曲昊 韩明鸣 解锋昌 |
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| 作者单位： | 1. 沈阳铁路机械学校,文化基础部,辽宁,沈阳,110036;南京农业大学,数学系,江苏,南京,210095
2. 南京农业大学,数学系,江苏,南京,210095 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 基于数据删除方法研究了半参数ZI（zero-inflated）负二项回归模型的全局影响问题.得到了数据删除下参数估计的一阶近似,同时得到了广义Cook距离、WK统计量、似然距离及其一阶近似.最后通过随机模拟说明了所得诊断统计量的有效性.
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| 关 键 词： | ZI负二项回归 数据删除 半参数回归 惩罚似然 模拟研究 |
Global Influence Analysis of Semi-parametric ZI-Negative Binomial Regression Models |
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| Qu Hao,Han Mingming,Xie Fengchang.Global Influence Analysis of Semi-parametric ZI-Negative Binomial Regression Models[J].Journal of Ningxia University(Natural Science Edition),2010,31(2):116-120. |
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| Authors: | Qu Hao Han Mingming Xie Fengchang |
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| Institution: | 1.Department of Fundamental Culture,Shenyang Railway Mechanic College,Shenyang 110036,China; 2.Department of Applied Mathematics,Nanjing Agricultural University,Nanjing 210095,China) |
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| Abstract: | Based on case deletion model（CDM）,global influence diagnostics for semi-parametric ZINB regression models is discussesed,and the one-step approximations of the estimates are obtained.At the same time,generalized Cook＇s distance,WK measures and likelihood distance are given.Finally,the effectiveness of statistics obtained in this paper is investigated through simulations. |
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| Keywords: | ZINB regression case deletion semi-parametric regression penalized likelihood simulation study |
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