半相依模型参数估计的改进 |
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引用本文: | 马铁丰,王松桂.半相依模型参数估计的改进[J].数学物理学报(A辑),2009,29(5):1256-1264. |
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作者姓名: | 马铁丰 王松桂 |
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作者单位: | 马铁丰(西南财经大学统计学院,成都,610074);王松桂(北京工业大学应用数理学院,北京,100124) |
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基金项目: | 北京市属市管高等学校人才强教计划项目,国家自然科学基金青年基金 |
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摘 要: | 对于m个半相依回归系统的未知回归系数, 文献7]提出一种利用信息逐次迭加的方法, 该文首先在其基础上给出一种进一步改进形式, 并得到了其相合性, 同时作者借鉴文献7]提出逐次迭加信息的构造估计思想给出一种具有小样本优良性的可行估计, 模拟研究也表明作者的改进估计是有效的.文献10]根据Rao的协方差改进思想, 给出一种更为简洁的两步估计, 该文在此估计基础上给出一种改进形式, 新估计具有更好的可操作性和均方误差意义下的优良性.
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关 键 词: | 半相依模型 协方差改进估计 两步估计 |
收稿时间: | 2007-03-10 |
修稿时间: | 2008-05-12 |
The Adjusted of Parameter Estimation in Seemingly Unrelated Regression |
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Institution: | Statistics College, Southwestern University of Finance and Economics, Chengdu 610074;College of Applied Science, Beijing University of Technology, Beijing 100124 |
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Abstract: | For a seemingly unrelated regression with m linear regression models,the literature 7] propose a new method which based on iterative information step by step. Based on this method, this paper obtain a farther adjusted form which also has congruence. At the same time, a new estimator is proposed by using the idea in literature 7]. It is a feasible estimator having small sample property. The simulation result also indicates that our estimator is effective. The literature 10] gave a concise two-stage estimator by using the covariance adjusted approach of
literature 8]. This paper improves on it which shows the more power of small sample optimality by comparing with least square estimator. |
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Keywords: | Seemingly unrelated regression modelzz Covariance adjusted estimatorzz Two-stage estimatorzz |
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