| 反演奇异模型的参数估计的通用公式 |
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| 引用本文： | 陶本藻,张朝玉.反演奇异模型的参数估计的通用公式[J].大地测量与地球动力学,2004,24(3):7-10. |
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| 作者姓名： | 陶本藻 张朝玉 |
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| 作者单位： | 武汉大学测绘学院地球空间环境与大地测量教育部重点实验室,武汉430079 |
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| 基金项目： | 武汉大学地球空间环境与大地测量教育部重点实验室测绘基础研究基金项目 (0 2 -0 9-0 1) |
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| 摘 要： | 将大地测量反演问题中的线性模型，综合为一般模型，称为反演奇异模型。运用最小二乘统一理论给出了反演奇异模型的参数和单位权方差通用估计公式，给出了这种模型的验前验后方差一致性检验方法。讨论了反演参数估计的有关问题。
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| 关 键 词： | 大地测量反演 反演奇异模型 参数估计 最小二乘统一理论 线性模型 大地测量 |
Universal formulation of parameters estimation of inversion singular model |
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| Tao Benzao and Zhang Chaoyu Key Laboratory of Geospace Environment and Geodesy,Ministry of Education,School of Geodesy and Geomatics,Wuhan University,Wuhan.Universal formulation of parameters estimation of inversion singular model[J].Journal of Geodesy and Geodynamics,2004,24(3):7-10. |
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| Authors: | Tao Benzao and Zhang Chaoyu Key Laboratory of Geospace Environment and Geodesy Ministry of Education School of Geodesy and Geomatics Wuhan University Wuhan |
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| Institution: | Tao Benzao and Zhang Chaoyu Key Laboratory of Geospace Environment and Geodesy,Ministry of Education,School of Geodesy and Geomatics,Wuhan University,Wuhan 430079 |
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| Abstract: | The general model called as a inversion singular model is synthesized from the linear models in geodesy inversion.On the basis of the least square unified theory we give the universal formulae for the estimation of the parameters and unit weight variance of the singular model and the test method of the consistency between the priori and posteriori variances of this model.Finally,the inversion parameter estimation is also discussed. |
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| Keywords: | geodesy inversion inversion singular model parameter estimation least square unified theory uniform test method |
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