关键词: 变形监测, 中位数, 回归分析, 数据处理, 最小二乘估计

Abstract: Most of the parameters of the classical one and multiple variates linear regression models are calculated by adopting the least square estimation method,however,the least square estimation method without the anti-error ability,the performance of the least squares estimation method will be degraded by outliers,thus,the deviation is appeared.In order to improve the anti-error ability of the regression analysis method,the median is introduced to regression analysis method,a new regression analysis method based on median is proposed.The correlative theories of regression method and its application in deformation monitoring data processing are discussed and the basic principle of the median regression analysis method proposed in this paper is also analyzed in detail.The actual deformation monitoring data of the buildings of a mining area in Huaibei city are analyzed by the least squares regression analyssi method,the least squares estimation regression analysis method based on anti-error and the median regression analysis method respectively.The experimental results show that when the observed values is polluted by gross errors,the influence of outliers can be resisted effectively by the median regression analysis method,the fitting effect and prediction results of the median regression analysis method is superior to the other methods,therefore,it has some reference for improving the processing precision and efficiency of the deformation monitoring data in mining area.

Key words: Deformation monitoring, Median, Regression analysis, Data processing, Least square estimation