Statistical Methods & Applications

, Volume 27, Issue 4, pp 609–619 | Cite as

Discussion of “The power of monitoring: how to make the most of a contaminated multivariate sample” by Andrea Cerioli, Marco Riani, Anthony C. Atkinson and Aldo Corbellini

  • Claudio Agostinelli
  • Luca GrecoEmail author
Original Paper


Andrea Cerioli, Marco Riani, Anthony Atkinson, Aldo Corbellini (CRAC hereafter) have presented a powerful methodology aimed at improving robust fitting and related diagnostic tools. Monitoring is a very flexible approach that allows to tune the selected robust technique by looking at a whole movie of the available data. We contribute to the discussion of CRAC’s paper by applying the principle of monitoring to multivariate weighted likelihood estimation. The reliability of the method is illustrated through the analysis of the datasets taken from CRAC’ s paper.


Monitoring Outliers Pearson residuals Robust distances Weighted likelihood 


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TrentoTrentoItaly
  2. 2.DEMM DepartmentUniversity of SannioBeneventoItaly

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