| 一次范数最小估计的无偏性 |
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| 引用本文： | 周世健.一次范数最小估计的无偏性[J].测绘学院学报,1998(4). |
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| 作者姓名： | 周世健 |
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| 作者单位： | 华东地质学院!江西临州344000 |
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| 基金项目： | 国家自然科学基金资助项目!(No.4 970 10 14 ) |
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| 摘 要： | 理论上一次范数最小 ( L1 )估计的唯一性不存在 ,其唯一性主要取决于解算方法 ,大量算例验证其唯一性存在。本文作者基于算法来保证其唯一性 ,进而首次从理论上验证 L1估计的无偏性。利用初始反对称估计 ,设计了两个等价的线性规划问题 ,由此来解算得到 L1估计 ,根据误差分布为对称分布 ,便可证明 L1 估计的无偏性
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| 关 键 词： | 一次范数最小(L_1)估计 反对称估计 无偏性 对称分布 |
The Unbiasedness of the Least Absolute Sum Estimation |
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| Zhou Shijian.The Unbiasedness of the Least Absolute Sum Estimation[J].Journal of Institute of Surveying and Mapping,1998(4). |
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| Authors: | Zhou Shijian |
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| Institution: | Zhou Shijian |
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| Abstract: | In theory, the uniqueness of the least absolute sum estimation don't exist, and the uniqueness is determined by computational algorithm, the results for a large number simulated examples that the uniqueness can be guaranteed. This paper based on this principle, the unbiasedness of the least absolute sum estimation has first been proved. Authors mainly employ an initial antisymmetrical estimator, the least absolute sum estimation is calculated by the two equivalent linear programming, so that the unbiasedness can be obtained in light of the error distribution is symmetrical population. |
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| Keywords: | The least absolute sum estimation Unbiasedness Antisymmetrical estimation Symmetrical distribution |
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