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Selected Aspects of Statistical Significance Testing in Time-Frequency Analysis
Klejmová, Eva ; Kohl,, Zdeněk (oponent) ; Fidrmuc, Jarko (oponent) ; Poměnková, Jitka (vedoucí práce)
This doctoral thesis is focused on analyses and assessment of the quality of the frequency and time-frequency transform of the data and the formulation of recommendations for working with such methods. When using these methods, the question arises of how to evaluate which components of the spectrogram are statistically significant and which are not. In this thesis, we analyze the properties of standard statistical significance tests. We discuss their advantages and disadvantages taking into account the heteroskedastic character of data. Based on our experiments we propose two types of improved testing methods that reduce the negatives standard tests. The final step is creating a framework for data filtering using our proposed methods.

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