263
Views
35
CrossRef citations to date
0
Altmetric
Miscellany

Robust filtering of time series with trends

Pages 313-328 | Received 17 Oct 2002, Accepted 08 Nov 2003, Published online: 31 Jan 2007

References

References

  • Davies , PL , Fried , R and Gather , U . Robust signal extraction from on-line monitoring data . J. Statist. Plann. and Inference , 122 65 – 78 .
  • Tukey JW (1977) Exploratory Data Analysis, Addison-Wesley Reading Mass (preliminary ed. 1971)
  • Fried R Gather U (2002) Fast and robust filtering of time series with trends In: Härdle, W. and Rönz, B. (Eds.) Proceedings in Computational Statistics COMPSTAT 2002, Physica-Verlag Heidelberg pp. 367–372
  • Davies , PL . (1993) . Aspects of robust linear regression . Ann. Statist. , 21 : 1843 – 1899 .
  • Rousseeuw , PJ and Croux , C . (1993) . Alternatives to the median absolute deviation . J. Amer. Statist. Assoc. , 88 : 1273 – 1283 .
  • Fan , J , Hu , T-Ch. and Truong , YK . (1994) . Robust non-parametric function estimation . Scand. J. Statist. , 21 : 433 – 446 .
  • Rue , H , Chu , Ch.-K , Godtliebsen , F and Marron , JS . (2002) . M-Smoother with local linear fit . J. Nonparametr. Statist. , 14 : 155 – 168 .
  • Gather , U , Fried , R , Lanius , V and Imhoff , M . (2001) . Online-monitoring of high-dimensional physiological time series – a case-study . Estadistica , 53 : 259 – 298 .
  • Smith , AFM and West , M . (1983) . Monitoring renal transplants: An application of the multiprocess Kalman filter . Biometrics , 39 : 867 – 878 .
  • Hampel , FR . (1975) . Beyond location parameters: Robust concepts and methods . Bulletin of the Int. Statist. Inst. , 46 : 375 – 382 .
  • Rousseeuw , PJ . (1984) . Least median of squares regression . J. Amer. Statist. Assoc. , 79 : 871 – 880 .
  • Siegel , AF . (1982) . Robust regression using repeated medians . Biometrika , 68 : 242 – 244 .
  • Bernholt , T and Fried , R . Computing the update of the repeated median regression line in linear time . Information Processing Letters , 88 111 – 117 .
  • Hettmansperger , TP and Sheather , SJ . (1992) . A cautionary note on the method of least median squares . Amer. Statist. , 46 : 79 – 83 .
  • Gather U Fried R Robust estimation of scale for local linear temporal trends In: Stulajter, F. (Ed.) Proceedings of the Fourth International Conference on Mathematical Statistics PROBASTAT 2002, Tatra Mountain Mathematical Publications 26 87 101
  • Grübel , R . (1988) . The length of the shorth . Ann. Statist. , 16 : 619 – 628 .
  • Rousseeuw , PJ and Leroy , AM . (1988) . A robust scale estimator based on the shortest half . Statistica Neerlandica , 42 : 103 – 116 .
  • Croux C Rousseeuw PJ (1992) Time-efficient algorithms for two highly robust estimators of scale In: Dodge, Y. and Whittaker, J. (Eds.) Computational Statistics 1 Physica-Verlag Heidelberg pp. 411–428
  • Martin , RD and Zamar , RH . (1993) . Bias robust estimation of scale . Ann. Statist. , 21 : 991 – 1017 .
  • Basseville M Nikiforov IV (1993) Detection of Abrupt Changes – Theory and Application, Prentice-Hall Englewood Cliffs NJ
  • Imhoff , M , Bauer , M , Gather , U and Löhlein , D . (1998) . Statistical pattern detection in univariate time series of intensive care on-line monitoring data . Intensive Care Medicine , 24 : 1305 – 1314 .
  • Berrendero , JR and Zamar , RH . (1999) . Global robustness of location and dispersion estimates . Statist. Probab. Lett. , 44 : 63 – 72 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.