| 不等式约束对平差结果的影响分析 |
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| 引用本文： | 朱建军,谢建,陈宇波.不等式约束对平差结果的影响分析[J].测绘学报,2011,40(4):0-415. |
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| 作者姓名： | 朱建军 谢建 陈宇波 |
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| 作者单位： | 中南大学地球科学与信息物理学院,湖南长沙,410083 |
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| 基金项目： | 国家自然科学基金(40974007;40574003); 湖南省博士生科研创新项目(CX2010B048) |
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| 摘 要： | 不等式约束平差模型能够改善平差效果，在大地测量中的运用越来越广泛。平差参数估计已经有了很多有效的算法，但是不等式约束对平差的影响以及参数的统计性质还没有解决。针对这一问题，运用概率统计的思想，证明了不等式约束平差是一种有偏估计，给出了参数的期望和方差表达式。与无约束平差比较，证明不等式约束参数的方差恒小于无约束时的情形。用一个简单的算例，说明了不等式约束平差参数的4个统计性质，指出了以往研究中，将有效约束看做等式约束进行精度评定的不足。
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| 关 键 词： | 不等式约束平差 有效约束 影响分析 精度 |
| 收稿时间： | 2010-06-07 |
Analysis of Inequality Constraints Influence to Adjustment Results |
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| ZHU Jianjun,XIE Jian,CHEN Yubo School of Geosciences , Info-physics,Central South University,Changsha ,China.Analysis of Inequality Constraints Influence to Adjustment Results[J].Acta Geodaetica et Cartographica Sinica,2011,40(4):0-415. |
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| Authors: | ZHU Jianjun XIE Jian CHEN Yubo School of Geosciences Info-physics Central South University Changsha China |
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| Institution: | ZHU Jianjun,XIE Jian,CHEN Yubo School of Geosciences and Info-physics,Central South University,Changsha 410083,China |
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| Abstract: | The inequality constraint influence to the results according to the adjustment procedure based on statistics are analyzed.The results show that different constraint has different contribution to the solution.The influence is determined by the distance from the constraints to the true value.The asymmetry of inequality constraints leads to asymmetric of posterior distribution of the estimated parameters,thus the estimator is biased.The biasness of the estimation is not the same as that of shrunken biased esti... |
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| Keywords: | linear inequality constrained adjustment(LICA) active constraint influence analysis accuracy |
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