长江科学院院报 ›› 2012, Vol. 29 ›› Issue (12): 20-23.DOI: 10.3969/j.issn.1001-5485.2012.12.005

• 工程安全与灾害防治 • 上一篇    下一篇

减弱观测误差对回归模型的影响研究

赵 卿1,2, 周兴东1   

  1. 1.江苏师范大学 测绘学院,江苏 徐州 221116;2.江西省数字国土重点实验室,江西 抚州 344000
  • 收稿日期:2011-10-08 修回日期:2012-02-20 出版日期:2012-12-01 发布日期:2012-12-18
  • 作者简介:赵 卿(1983-),男,江苏徐州人,讲师,博士,主要从事变形监测与灾害预报的研究
  • 基金资助:

    江苏师范大学博士学位教师科研支持项目(10XLR23,10XLR16);江西省数字国土重点实验室开放研究基金资助项目(DLLJ201203)

Impact of Reducing Observation Errors on Regression Model

ZHAO Qing1,2, ZHOU Xing-dong1   

  1. 1. School of Geodesy and Geomatics, Jiangsu Normal University, Xuzhou 221116, China;2.Jiangxi Provincial Key Lab for Digital Land, Fuzhou 344000, China
  • Received:2011-10-08 Revised:2012-02-20 Online:2012-12-01 Published:2012-12-18

摘要: 对变形监测序列进行数据建模分析时,含有误差的监测数据会对模型的建立产生较大的影响。提出一种“事件”模型改变原始观测序列的表达形式,通过对原始观测数据进行转换,对变形监测数据按照某种规则进行分类划分,划分后的数据能够适应Cox模型。根据经验或者实际情况,适当调节“事件”模型参数,在一定程度上可以减弱观测误差带给Cox回归模型的影响,算例分析进一步论证了该模型计算结果的准确度能够进一步地提高计算结果的准确度。

关键词: 观测误差用, 变形监测用, 事件模型用, Cox回归模型

Abstract: Errors of deformation monitoring data has great impact on the modeling of the data sequences. A new model called Event-Model, which changes the expression of the original observation data, was proposed. First, the deformation rate at each monitoring point in the original data was calculated, and then the rates were divided into several ranges. By converting the original observation data into events, the numerical data were divided into categorical data which were composed of the matrix, named Event Matrix in this paper, which could be fitted to the Cox regression model. Each group of categorical data contained certain ranges. On the basis of experiences and the actual situation such as the average displacement rate calculated previously, parameters in the “Event-Model” were adjusted to avoid or weaken the effect of observation errors. The mean square error of the observation data could be treated as adjusted parameters instead of unknown true errors in practice. The influence of monitoring data containing observation errors on the follow-up Cox regression model can be reduced to some extent and improve the accuracy of the calculation results.

Key words: observation errors, deformation monitoring, event model, Cox regression model

中图分类号: