基于蒙特卡罗方法的误差传播与误差分配计算

Calculation of the Error Propagation and Error Distribution Based on Monte Carlo Method

在分析解析法求解误差传播与误差分配存在不足的基础上,提出了应用蒙特卡罗方法对其进行数值求解的设想;给出了具体算法和精度评定;最后结合实例分析了GPS测量误差在大地坐标转换中的误差传播.该方法对线性和非线性模型均具有较强的适应性.

Based on the analysis of the problems existed in solving the error propagation and error distribution by analytic method, the paper presents a statistical technique--Monte Carlo method, to calculate them numerically. Then the paper also lists the detailed algorithm and accurate evaluation. For instance, GPS's error propagation in transformation of the geodetic coordinates is discussed. This technique is suited to any linear and nonlinear model with good availability.