Hydrology and Earth System Sciences
Hydrology and Earth System Sciences
HESS
Articles | Volume 29, issue 4
Articles | Volume 29, issue 4
https://doi.org/10.5194/hess-29-1159-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-29-1159-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 29, issue 4
Research article
 | 
28 Feb 2025
Research article |  | 28 Feb 2025

Non-asymptotic distributions of water extremes: much ado about what?

Francesco Serinaldi, Federico Lombardo, and Chris G. Kilsby

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Short summary
Non-asymptotic probability distributions of block maxima (BM) have been proposed as an alternative to asymptotic distributions from classic extreme-value theory. We show that the non-asymptotic models are unnecessary and redundant approximations of the corresponding parent distributions, which are readily available, are not affected by serial dependence, have simpler expression, and describe the probability of all quartiles of the process of interest and not only the probability of BM. 
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