Hubert, Rousseeuw and Segaert: multivariate functional outlier detection

This is a preview of subscription content, log in to check access.

Fig. 1
Fig. 2
Fig. 3

References

  1. Atkinson AC, Riani M (1997) Bivariate boxplots, multiple outliers, multivariate transformations and discriminant analysis: the 1997 Hunter lecture. Environmetrics 8:583–602

    Article  Google Scholar 

  2. Atkinson AC, Riani M, Cerioli A (2004) Exploring multivariate data with the forward search. Springer, New York

    Google Scholar 

  3. Harvey AC (1989) Forecasting, structural time series models and the Kalman filter. Cambridge University Press, Cambridge

    Google Scholar 

  4. Maadooliat M, Huang JZ, Hu J (2015) Integrating data transformation in principal components analysis. J Comput Gr Stat 24:84–103

  5. Riani M, Zani S (1998) Generalized distance measures for asymmetric multivariate distributions. In: Rizzi A, Vichi M, Bock H-H (eds) Advances in data science and classification. Springer, Berlin, pp 503–508

    Google Scholar 

  6. Riani M, Cerioli A, Atkinson AC, Perrotta D (2014) Monitoring robust regression. Electr J Stat 8:642–673

    MathSciNet  Google Scholar 

  7. Rousseeuw PJ, Ruts I, Tukey JW (1990) The bagplot: a bivariate boxplot. Am Stat 53:87–88

    Google Scholar 

  8. West M, Harrison PJ (1989) Bayesian forecasting and dynamic models. Springer, New York

    Google Scholar 

  9. Yeo I-K, Johnson RA (2000) A new family of power transformations to improve normality or symmetry. Biometrika 87:954–959

    MathSciNet  Article  MATH  Google Scholar 

  10. Zani S, Riani M, Corbellini A (1998) Robust bivariate boxplots and multiple outlier detection. Comput Stat Data Anal 28:257–270

    Article  MATH  Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to Marco Riani.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Corbellini, A., Riani, M. & Atkinson, A.C. Hubert, Rousseeuw and Segaert: multivariate functional outlier detection. Stat Methods Appl 24, 257–261 (2015). https://doi.org/10.1007/s10260-015-0324-9

Download citation

Keywords

  • Mahalanobis Distance
  • Functional Data
  • Kriging Model
  • Unknown Distribution
  • Functional Data Analysis