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Discussion of “The power of monitoring: how to make the most of a contaminated multivariate sample”. (English) Zbl 1428.62240
Summary: [A. Cerioli et al., ibid. 27, No. 4, 559–587 (2018; Zbl 1427.62047)] is a fine review of the practical value of the forward search and the other related robust estimation methods based around monitoring of quantities of interest over a range of consecutive values of the tuning parameters. From a practical standpoint in data analysis the availability of such tools is essential, and the research reported in this paper has brought them to an wide audience. As a potential user of such tools I am particulary interested in their software implementation on one hand and their applicability to an wide range of data analysis problems. More precisely, I would like to address the following two points: (1) the software availability and computational issues related to monitoring and (2) monitoring in one special case, the case of compositional data.
Reviewer: Reviewer (Berlin)

MSC:
62H12 Estimation in multivariate analysis
62J20 Diagnostics, and linear inference and regression
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