To my family who through their support, encouragement and example inspired me to move forward with my dreams. Especially Claudia, Alessandra and Luciana who filled my life with meaning and love, as well as to my parents who taught the value of effort and dedication.

We show that different entropic measures of fluctuations lead to contradictory uncertainty relations for two complementary observables. We apply Tsallis and Rényi entropies to the joint distribution emerging from a noisy simultaneous measurement of both observables as well as to the product of their individual statistics, either intrinsic or of operational origin.

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