尹任祥. 形变模型的统计检验[J]. 武汉大学学报 ( 信息科学版), 1987, 12(3): 102-112.
引用本文: 尹任祥. 形变模型的统计检验[J]. 武汉大学学报 ( 信息科学版), 1987, 12(3): 102-112.
Ying Renxiang. The Statistical Test of Deformation Model[J]. Geomatics and Information Science of Wuhan University, 1987, 12(3): 102-112.
Citation: Ying Renxiang. The Statistical Test of Deformation Model[J]. Geomatics and Information Science of Wuhan University, 1987, 12(3): 102-112.

形变模型的统计检验

The Statistical Test of Deformation Model

  • 摘要: 本文首先介绍了广义参数检验法的基本原理及其在形变模型检验方面的应用,其次证明了对形变模型和约束模型平差所得形变参数是一致的,还证明了形变模型的残差二次型等于约束模型残差二次型与原模型残差二次型之差,即VdTPdVd=???。最后,作为算例,对某坝区监测网两期观测进行了原模型、形变模型的平差计算,以及形变模型的统计检验。

     

    Abstract: This paper first introduces the principles of testing the generalized parameters and then it proves that the two solutions of deformation parameters,Y,——one of them obtained by the adjustment of deformation model,and the other,by the adjustment of the restrained model——are consistent.The author has also revealed that the residual quadratic form of the deformation model is equal to the subtraction of the residual quadratic form of the original model from the residual quadratic form of the restrained model,that is,VdTPdVd=???.Finally,as an example,adjustment has been made of the original model and the deformation model and statistical tests on the deformation model have been performed on the basis of the observations done on the monitoring network of a certain dam over two periods.

     

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