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半参数估计的自然样条函数法 总被引：3，自引：0，他引：3
用补偿最小二乘原理，得到了参数和非参数分量的惟一解，并通过模拟计算，对半参数回归模型和参数模型的计算结果进行了比较。结果表明，半参数回归方法能较好地将观测值中具有连续光滑特性的系统误差分离出来。 相似文献
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自然样条非参数回归模型及模拟分析 总被引：2，自引：0，他引：2
采用自然样条逼近的数据处理方法,探讨自然样条非参数回归分析方法.在补偿最小二乘的原则下,利用三次样条函数构 造补偿项,通过广义交叉核实函数自动选取光滑参数.采用自编程序进行计算,得到非参数回归函数的补偿最小二乘估计.模拟计算表明,该方法优于经典的LS估计.因此可以用于曲线拟合或测量系统误差的估计. 相似文献
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考虑半参数平差模型L=Bx+S+Δ,xεRd,S为未知回归参数,为未知Borel函数。本文首先利用自然样条函数法,找到符合条件的非参数自然样条插值函数。其次利用偏残差法并综合最小二乘法,导出了参数和非参数的解算公式,讨论了窗宽参数的选取方法。在本文的最后,将这种估计方法应用到重力场的计算中,说明了利用半参数平差模型估计参数的有效性。 相似文献
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混合地理加权回归模型算法研究 总被引：1，自引：0，他引：1
以迭代算法为基础，推导出混合地理加权回归模型的常系数（全局参数）和变系数（局域参数）的计算方法，并以上海市住宅小区楼盘销售平均价格为例进行验证。结果表明，混合地理加权回归模型的计算量略大于地理加权回归模型，但对样本数据的拟合更好，局域参数估计更稳健。 相似文献
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自然样条半参数模型与系统误差估计 总被引：16，自引：0，他引：16
采用自然样条逼近的数据处理方法 ,探讨了自然样条半参数回归分析方法。在补偿最小二乘的原则下 ,利用三次样条函数构造补偿项 ,通过广义交叉核实函数自动选取光滑参数。自编程序进行计算 ,得到了回归参数向量和样条函数的补偿最小二乘估计。模拟计算表明 ,该方法适合于回归函数模型误差与测量系统误差的估计 相似文献
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线性半参数回归模型L=Bx+s+Δ是线性模型与非参数回归模型的混合体,在半参数模型补偿最小二乘估计基本理论的基础上,详细介绍了半参数模型非参数假设检验的理论与方法,导出了其假设检验统计量,并对检验统计量的分布进行了推导与证明。最后通过模拟算例验证了其理论与方法的有效性。 相似文献
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在介绍似大地水准面精化技术的的基础上,论证了在上海西部郊县地区应用GPS水准法确定区域似大地水准面的可行性,并通过确定上海嘉定、青浦两区的似大地水准面证明了用GPS水准法确定的似大地水准面精度可满足地下管线测绘工作的需要。 相似文献
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The objective of this study is to evaluate two approaches, which use different representations of the Earth’s gravity field for downward continuation (DC), for determining Helmert gravity anomalies on the geoid. The accuracy of these anomalies is validated by 1) analyzing conformity of the two approaches; and 2) converting them to geoid heights and comparing the resulting values to GPS-leveling data. The first approach (A) consists of evaluating Helmert anomalies at the topography and downward-continuing them to the geoid. The second approach (B) downward-continues refined Bouguer anomalies to the geoid and transforms them to Helmert anomalies by adding the condensed topographical effect. Approach A is sensitive to the DC because of the roughness of the Helmert gravity field. The DC effect on the geoid can reach up to 2 m in Western Canada when the Stokes kernel is used to convert gravity anomalies to geoid heights. Furthermore, Poisson’s equation for DC provides better numerical results than Moritz’s equation when the resulting geoid models are validated against the GPS-leveling. On the contrary, approach B is significantly less sensitive to the DC because of the smoothness of the refined Bouguer gravity field. In this case, the DC (Poisson’s and Moritz’s) contributes only at the decimeter level to the geoid model in Western Canada. The maximum difference between the geoid models from approaches A and B is about 5 cm in the region of interest. The differences may result from errors in the DC such as numerical instability. The standard deviations of the h−H−N for both approaches are about 8 cm at the 664 GPS-leveling validation stations in Western Canada. 相似文献
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房产面积的测算,在很多情况下采用设计图纸上的尺寸进行相应的计算。但由于施工控制网误差、放样误差、施工误差等的综合影响,导致了实际房子的尺寸与设计的理论数据有差异,从而使得算得的房产面积与实际的不符。这种差异或者说误差能达到什么样的数量级?对面积计算的影响有多大?本文分析了这些差异即误差的一般规律,对依据设计数据所计算的房产面积精度进行了探讨。 相似文献
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2009年GOCE卫星升空以后,卫星重力梯度数据参与解算的GOCE系列重力场模型已有多家研究机构相继公布。本文分别采用青藏地区的GPS/水准和重力异常实测数据对GOCE重力场模型进行了外部测试,并在重力异常验证过程中引入了一种新的滤波方法,验证结果表明在青藏地区GOCE重力场模型相比其它系列模型的优势在于中波段。同时,探讨了GOCE重力场模型与其他系列模型在青藏地区主要差异值的空间分布以及首次利用统计分析方法找出模型之间主要差异值的阶次分布,得出如下结论：模型之间的较大差异值在空间水平方向上主要分布在喜马拉雅山脉、天山等地形起伏较大的区域,在垂直方向上主要集中在岩石圈。 相似文献
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Two alternative approaches are investigated to compute the discrete Stokes integral for gravimetric geoid determination so that geographical grid subdivision and gridding is not required. The techniques are based on Voronoi and Delaunay structures, in which the target area is partitioned into polygons and triangles, respectively, and the computation is carried out by point-wise integration. In the Voronoi scheme, polygonal areas just contain the observed gravity anomalies, instead of the interpolated ones; thus no gridding process or data interpolation is necessary, and only the original data are used. In the Delaunay scheme, gridding is also not required, but observed anomalies are interpolated into triangular compartments whose vertices hold the gravity stations. Geoidal undulations are thus computed at the barycenters (centroids) of the triangles. Both schemes were applied to the local gravimetric geoid determination in two distinct areas of Brazil (municipality of Rio de Janeiro, and Resende). The gravity observations are almost uniformly distributed spatially at both sites, and their topographies are very rugged. The Stokes component was also computed by means of classical numerical integration (space-domain), and compared with the Voronoi and Delaunay schemes to give root-mean-square (RMS) differences of 0.022 and 0.024 m, respectively, at the Rio de Janeiro site. In Resende, the comparisons yielded RMS differences of 0.040 and 0.053 m. The largest difference did not exceed 0.100 m for both methods and datasets. The one-dimensional (1-D) FFT (spectral domain) technique was also used on the Rio de Janeiro dataset, which gave RMS differences of 0.031 m for the classical method, 0.039 m for the Voronoi scheme, and 0.047 m for the Delaunay scheme. Relative comparisons with 465 GPS-leveling baselines in the Rio de Janeiro site gave RMS differences of 0.069, 0.061, 0.071, and 0.071 m, for the Voronoi, Delaunay, classical, and 1-D FFT methods, respectively. Since the Voronoi and Delaunay schemes avoid the gridding step, the pre-processing time and labor are reduced. As with other methods, the dependence upon data quality and distribution is the main drawback of both schemes. Finally, the Voronoi and Delaunay schemes proved to be computationally as efficient as the 1-D FFT method for only the geoid height computation. 相似文献