Presented considerations of this work includes selected issues in the area of statistical procedures use in vibration measures study and modal analysis methods to assess the building structures and machines state. Maintaining suitability, shaping safety as well as protecting the environment of complex technical systems is possible by using diagnostic methods. The indicated statistical procedures are particularly important in vibration and modal research, where the multidimensionality of diagnostic signals requires a wide application of various statistical procedures at the stage of processing and decision-making. Selected aspects of this subject were discussed in this publication.
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