The problem of the robust definition of the acceptance regions in conditionmonitoring of the vibrations of rotatingmachinery is related to the more wide field of the analysis of bivariate data. Traditional parametric techniques and innovative nonparametric methods based on the statistical concept of the data depth are presented and critically examined in the paper. The performances with respect to the robustness in the estimation of the acceptance regions are analysed by means of experimental cases of real rotatingmachinery of a power plant.
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