| 缺失数据下线性模型响应变量均值估计的渐近正态性 |
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| 引用本文： | 施红星.缺失数据下线性模型响应变量均值估计的渐近正态性[J].湖州师范学院学报,2012,34(1):1-5. |
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| 作者姓名： | 施红星 |
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| 作者单位： | 楚雄师范学院初等教育学院,云南楚雄,675000 |
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| 基金项目： | 国家社会科学基金项目，国家自然科学基金项目，云南省教育厅科研基金项目，楚雄师院科研基金项目 |
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| 摘 要： | 考虑响应变量随机缺失下线性模型响应变量均值的估计问题,分别获得了基于完全观测样本数据、线性回归插补后的"完全样本"和逆概率加权插补后的"完全样本"得到的响应变量均值估计,并证明了其渐近正态性.
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| 关 键 词： | 线性模型 响应变量 随机缺失 渐近正态性 |
Asymptotic Normality of Estimators for the Mean of Response Variables in Linear Models with Missing Data |
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| SHI Hong-xing.Asymptotic Normality of Estimators for the Mean of Response Variables in Linear Models with Missing Data[J].Journal of Huzhou Teachers College,2012,34(1):1-5. |
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| Authors: | SHI Hong-xing |
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| Institution: | SHI Hong-xing(School of Primary Education,Chuxiong Normal College,Chuxiong 675000,China) |
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| Abstract: | The present study considers the linear models with response variable data missing at random and investigates the estimation of the mean of response variables,from which we have obtained asymptotic normality of estimators based on the completely observed pairs,the ’complete’ data after linear regression imputation and the ’complete’ data after inverse probability weighted imputation. |
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| Keywords: | linear model response variable missing at random asymptotic normality |
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