2018
DOI: 10.1038/s41598-018-31838-z
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Superstatistical distribution of daily precipitation extremes: A worldwide assessment

Abstract: Maximum annual daily precipitation is a fundamental hydrologic variable that does not attain asymptotic conditions. Thus the classical extreme value theory (i.e., the Fisher-Tippett’s theorem) does not apply and the recurrent use of the Generalized Extreme Value distribution (GEV) to estimate precipitation quantiles for structural-design purposes could be inappropriate. In order to address this issue, we first determine the exact distribution of maximum annual daily precipitation starting from a Markov chain a… Show more

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Cited by 41 publications
(29 citation statements)
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“…In Figures we may observe that for all daily rainfall data sets the magnitudes of extreme events taken from excesses of a low threshold (the 5th percentile of the nonzero sample) can be considered independent and identically distributed, and this is consistent with the results shown in the literature using different approaches (see, e.g., Marani & Ignaccolo, ; Zorzetto et al, ; De Michele & Avanzi, ). In addition, we may notice that the classical model of POT analyses assuming Poisson occurrences (see equation ) seems to be appropriate to study rainfall extremes.…”
Section: Applications To Rainfall and Streamflow Datasupporting
confidence: 86%
“…In Figures we may observe that for all daily rainfall data sets the magnitudes of extreme events taken from excesses of a low threshold (the 5th percentile of the nonzero sample) can be considered independent and identically distributed, and this is consistent with the results shown in the literature using different approaches (see, e.g., Marani & Ignaccolo, ; Zorzetto et al, ; De Michele & Avanzi, ). In addition, we may notice that the classical model of POT analyses assuming Poisson occurrences (see equation ) seems to be appropriate to study rainfall extremes.…”
Section: Applications To Rainfall and Streamflow Datasupporting
confidence: 86%
“…First, Wilson and Toumi [25] provided some physical argumentations in favor of the probability distribution of daily non-zero precipitation being stretched exponential, also known as Weibull distribution. This seminal result is coherent with later findings by [10,17,22,[26][27][28] about both the distribution of the daily amount and the distribution of daily values above a given threshold. Also, Porporato et al [29] obtained a distribution of daily non-zero precipitation with a stretched exponential tail by compounding an exponential distribution with a parameter having a Gamma distribution.…”
Section: Introductionsupporting
confidence: 88%
“…A (non-exhaustive) list of papers published in the period 2000-2015 that exclusively used the GEV, or its three asymptotic laws, to describe the behavior of maximum annual daily precipitation is reported in [10]. Some studies have also investigated which of these three asymptotic laws is the most appropriate to represent the statistical variability of maximum annual daily precipitation [8,11].…”
Section: Introductionmentioning
confidence: 99%
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“…The -values, which indicates the goodness of fitness, are all very close to 1.0, which indicate a failure on rejecting the null hypothesis, i.e., the AMDR follows the GEV distribution at 5% significance level. It should be noted that the high p-values cannot be used to confirm that the AMDR follows the GEV 180 distribution, however, we follow other researchers here to use them to indicate that the AMDR is highly likely to follow the GEV distribution (De Michele and Avanzi, 2018;Hasan et al, 2012;Machiwal and Jha, 2008;Martin, 2013). Meanwhile, the Diff is applied to identify the best performance and uncertainty on nonstationary-based assumption.…”
Section: Simulation Results Of the S-gev And Ns-gev Modelsmentioning
confidence: 98%