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arXiv · 2407.00725

Extreme-value Statistics: Rudiments and applications

Evangelos Matsinos
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Abstract

This study provides a summary of the theory which enables the analysis of extreme values, i.e., of measurements acquired from the observation of extraordinary/rare physical phenomena. The formalism is developed in a transparent way, tailored to the application to real-world problems. Three examples of the application of the theory are detailed: first, an old problem, relating to the return period of floods caused by the Rh{\^o}ne river, is revisited; second, the frequency of occurrence and the severity of meteorite impacts on the Earth are examined; the data, which are analysed in the third example, relate to the longevity of supercentenarians.

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Evangelos Matsinos. 2024-06-30. Extreme-value Statistics: Rudiments and applications. https://doi.org/10.13140/rg.2.2.30556.60803

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