| 带约束的参数平差函数模型的影响分析 |
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| 引用本文： | 王志忠. 带约束的参数平差函数模型的影响分析[J]. 中南大学学报(自然科学版), 1997, 0(5) |
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| 作者姓名： | 王志忠 |
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| 作者单位： | 中南工业大学资源环境与建筑工程学院 长沙，410083 |
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| 基金项目： | 国家教委博士点科研基金 |
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| 摘 要： | 为了适应测量数据处理理论的需要,本文概括了平差模型影响分析的主要成果,对CM模型数据扰动的影响分析方法进行了理论性的扩展,研究了带约束参数平差模型数据扰动的影响分析问题,建立了X_B(i)和X_B的关系式,其中X_B(i)表示删除约束模型第i组数据的最小二乘估计,X_B表示约束模型未知参数X的最小二乘估计。本文还研究了删除模型的统计性质,建立了度量扰动影的Cook距离。
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| 关 键 词： | 影响分析 Cook 距离 最小二乘估计 |
INFLUENCE ANALYSIS IN ADJUSTMENT FUNCTIONAL MODEL UNDER THE RESTRICTED CONDITION |
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| Wang Zhizhong. INFLUENCE ANALYSIS IN ADJUSTMENT FUNCTIONAL MODEL UNDER THE RESTRICTED CONDITION[J]. Journal of Central South University:Science and Technology, 1997, 0(5) |
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| Authors: | Wang Zhizhong |
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| Abstract: | On the basis of the main results of influence analysis in the adjustment model and following the features and requirments of surveying data-processing, the influence analysis theory of the GM model is developed and the adjustment functional model under the restricted condition is studied. The paper establishes the relationship between X_B(i) and X_B, where X_B(i) denotes the least squares estimator of unknown parameter vector X of deleting the ith row of the adjustment model under the restricted condition and X_B denotes the least squared estimator of X in the adjustment model under the restricted condition. Cook distance, its functional properties and mathematical meaning are studied in detail. |
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| Keywords: | influence analysis Cook distance least squares estimate |
| 本文献已被 CNKI 等数据库收录！ |
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