A test for the hypothesis: block maxima are samples from a parent distribution with Weibull tail
Description
test for the H0 hypothesis: "block maxima are samples from a parent distribution with Weibull tail"
language: Matlab
developed and tested using: Matlab 2021a, b, 2022a, b
contains:
- wbl_tail_test_func.m: function with the test
- MAIN__wbl_tail_test_func.m: script with an example of usage
The test is described in:
- Marra F, W Amponsah, SM Papalexiou, 2023. Non-asymptotic Weibull tails explain the statistics of extreme daily precipitation. Adv. Water Resour., 173, 104388, https://doi.org/10.1016/j.advwatres.2023.104388
See also the following, in which the test was first proposed and used:
- Marra F, M Borga, E Morin, 2020. A unified framework for extreme sub-daily precipitation frequency analyses based on ordinary events. Geophys. Res. Lett., 47, 18, e2020GL090209. https://doi.org/10.1029/2020GL090209
- Amponsah W, E Dallan, EI Nikolopoulos, F Marra, 2022. Climatic and altitudinal controls on rainfall extremes and their temporal changes in data-sparse tropical regions. J. Hydrol., 612, 128090, https://doi.org/10.1016/j.jhydrol.2022.128090
- Marra F, V Levizzani, E Cattani, 2022. Changes in extreme daily precipitation over Africa: insights from a non-asymptotic statistical approach. J. Hydrol. X, 16, 100130, https://doi.org/10.1016/j.hydroa.2022.100130
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