The research on detection methods of GPS abnormal monitoring data based on control chart

被引：0
作者：
Yi, Ting-Hua [1 ]
Guo, Qing [1 ]
Li, Hong-Nan [1 ]
机构：
[1] School of Civil Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian
来源：
Gongcheng Lixue/Engineering Mechanics | 2013年 / 30卷 / 08期
关键词：
Cumulative sum control chart; Global positioning system; Outlier detection; Shewhart control chart; Statistical process control;
D O I：
10.6052/j.issn.1000-4750.2012.04.0280
中图分类号：
学科分类号：
摘要：
In order to effectively detect GPS abnormal monitoring data, a mathematical model for the GPS observations outlier detection is established. A new method for outlier detection and early-warning of observations by controlling a chart in the statistical process is proposed. Since the GPS monitoring data are not normally distributed, transferring them to Q statistic by Kernel density estimation of cumulative distribution functions is raised, and based on this, the control chart of Q statistic used for GPS abnormal data detection is constructed. Finally, the detection capacity of a Shewhart control chart and a cumulative sum control chart on different abnormal offsets are compared and analyzed based on the simulation data. The results show that the two control charts offer certain advantages and complement each other. The Shewhart control chart is able to provide effective early-warning for the abnormal offsets 3 times of the standard deviations, but it is lacking in the detection capacity of small offsets; while the cumulative sum control chart can accurately detect the continuous small offsets even smaller as 0.5 times of the standard deviations, but the false alarm rate may be bigger with the increase of the offsets.
引用
收藏
页码：133 / 141
页数：8
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共 19 条
  • [11] Jin R.R., Xu B., Structural damage detection based on principal component analysis and Hotelling T2 control chart, pp. 257-263, (2010)
  • [12] Mertikas S.P., Rizos C., On-line detections of abrupt changes in the carrier phase measurements of GPS, Journal of Geodesy, 71, 8, pp. 469-482, (1997)
  • [13] Ogaja C., Wang J.L., Rizos C., Detection of wind-induced response by wavelet transformed GPS solutions, Journal of Surveying Engineering, 129, 3, pp. 99-104, (2003)
  • [14] Iz H., Differencing reveals hidden changes in baseline length time-series, Journal of Geodesy, 80, 5, pp. 259-269, (2006)
  • [15] Mertikas S.P., Damianidis K.I., Monitoring the quality of GPS station coordinates in real time, GPS Solutions, 11, 2, pp. 119-128, (2007)
  • [16] Moustakides G., Optimal stopping times for detecting changes in distribution, The Annals of Statistics, 14, 4, pp. 1379-1387, (1986)
  • [17] Siegmund D., Error probabilities and average sample number of the sequential probability ratio test, Journal of the Royal Statistical Society Series B (Methodological), 37, 3, pp. 394-401, (1975)
  • [18] Quesenberry C.P., On properties of binomial Q charts for variables, Journal of Quality Technology, 27, 3, pp. 184-203, (1995)
  • [19] Xie Z., MATLAB Statistical Analysis and Application: 40 Cases Analysis, pp. 150-183, (2010)
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