统计研究

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分位数回归中基于检查函数的填补技术

吕小锋等   

  • 出版日期:2015-10-15 发布日期:2015-10-26

Check Function-based Imputation in Quantile Regression

Lv Xiaofeng et al.   

  • Online:2015-10-15 Published:2015-10-26

摘要: 现有的处理均值回归模型中数据缺失问题的技术和方法通常不适用于处理分位数回归模型中的数据缺失问题,譬如,会导致估计量不一致。目前处理分位数回归模型中数据缺失问题的常用方法是成对删除法,然而,由于成对删除法损失了那些含缺失值样本点的所有其他信息而估计效率低下。我们所提出的基于检查函数的填补技术却捕获了一些信息,从而显著地提高了估计效率,而且估计结果能够更好地解释一些经济现象。

关键词: 分位数回归, 检查函数, 填补技术, 随机缺失

Abstract: There exist methods to treat the missing data of mean-regression models, but they cannot be applied to quantile regression with missing data because of inconsistency. The pairwise deletion is commonly adopted in quantile regression. However, it incurs inefficiency due to the loss of available information of deleted observations. The proposed check function-based imputation can capture the information, therefore achieves efficiency improvement, and its estimation results may find a more useful explanation of economic phenomena.

Key words: Quantile Regression, Check Function, Imputation, Missing at Random.