Gross Error Elimination Based on the Weight Iteration of Posterior Variance Estimation

Yan Guoqing · Hydrographic Surveying and Charting · 2011

The idea of robust estimation is brought into the algorithm of detecting gross errors,in order to design the model errors,especially with the algorithm of resist errors.First,we calculate the parameters of the observed values,residual errors,co-factor matrix and the initial value of unit weight.Based on residual errors and parameters,we calculate the new weight value for each observation according to the weight function.Through iterative calculation,we may obtain residual errors of the observation,then we use the statistical methods to eliminate gross errors.The experiment proves that it has the good ability of detection of gross errors.

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