GPS高程拟合模型的优选

Optimizing model for GPS height fitting

在工程实践中,二次曲面模型在GPS高程转换过程中为较优的模型,可以达到三四等水准的要求,但没有在理论上得到阐述。鉴于此,运用日本统计学家提出的AIC准则,对各个模拟模型进行优选,即把AIC的值分为两个部分,分别代表模型的内附精度和外附精度,将两个值相加得到AICt,并和模型的内附精度和外附精度的均方差、最大误差、最小误差相比较,证明AIC准则应用于判定GPS高程转换模型优选的有效性,进而从理论上证明,二次曲面模型在GPS高程转换过程中为较优模型。

The conicoid model（CFM） is the best model for transforming GPS height in the engineering practice, but there is no proof in theory. Therefore, the paper introduces the/kkaike Information Criterion（AIC） proposed by Akaike（1973） to choose the better model for transforming GPS height, we separate the value of AIC into two parts, AIC, and AICe, then add up them to obtain the total value, AICtotal;, which could testify which model is the best comparing with the relative information, and some practicable conclusions are received.