Advances in Deriving the Exact Distribution of Maximum Annual Daily Precipitation

Advances in Deriving the Exact Distribution of Maximum Annual Daily Precipitation

Maximum annual daily precipitation does not attain asymptotic conditions. Consequently, the results of classical extreme value theory do not apply to this variable. This issue has raised concerns about the frequent use of asymptotic distributions to model the maximum annual daily precipitation and,...

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Bibliographic Details
Main Author: Carlo De Michele
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Water
Subjects:
maximum annual daily precipitation
exact distribution
asymptotic distribution
compound/superstatistical distribution
Online Access:https://www.mdpi.com/2073-4441/11/11/2322
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spelling doaj-e874bac88fe74e2d9cb6e970eeb188632020-11-24T21:55:32ZengMDPI AGWater2073-44412019-11-011111232210.3390/w11112322w11112322Advances in Deriving the Exact Distribution of Maximum Annual Daily PrecipitationCarlo De Michele0Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, ItalyMaximum annual daily precipitation does not attain asymptotic conditions. Consequently, the results of classical extreme value theory do not apply to this variable. This issue has raised concerns about the frequent use of asymptotic distributions to model the maximum annual daily precipitation and, at the same time, has rekindled interest in deriving and testing its exact (or non-asymptotic) distribution. In this review, we summarize and discuss results to date about the derivation of the exact distribution of maximum annual daily precipitation, with attention on compound/superstatistical distributions.https://www.mdpi.com/2073-4441/11/11/2322maximum annual daily precipitationexact distributionasymptotic distributioncompound/superstatistical distribution
collection DOAJ
language English
format Article
sources DOAJ
author Carlo De Michele
spellingShingle Carlo De Michele
Advances in Deriving the Exact Distribution of Maximum Annual Daily Precipitation
Water
maximum annual daily precipitation
exact distribution
asymptotic distribution
compound/superstatistical distribution
author_facet Carlo De Michele
author_sort Carlo De Michele
title Advances in Deriving the Exact Distribution of Maximum Annual Daily Precipitation
title_short Advances in Deriving the Exact Distribution of Maximum Annual Daily Precipitation
title_full Advances in Deriving the Exact Distribution of Maximum Annual Daily Precipitation
title_fullStr Advances in Deriving the Exact Distribution of Maximum Annual Daily Precipitation
title_full_unstemmed Advances in Deriving the Exact Distribution of Maximum Annual Daily Precipitation
title_sort advances in deriving the exact distribution of maximum annual daily precipitation
publisher MDPI AG
series Water
issn 2073-4441
publishDate 2019-11-01
description Maximum annual daily precipitation does not attain asymptotic conditions. Consequently, the results of classical extreme value theory do not apply to this variable. This issue has raised concerns about the frequent use of asymptotic distributions to model the maximum annual daily precipitation and, at the same time, has rekindled interest in deriving and testing its exact (or non-asymptotic) distribution. In this review, we summarize and discuss results to date about the derivation of the exact distribution of maximum annual daily precipitation, with attention on compound/superstatistical distributions.
topic maximum annual daily precipitation
exact distribution
asymptotic distribution
compound/superstatistical distribution
url https://www.mdpi.com/2073-4441/11/11/2322
work_keys_str_mv AT carlodemichele advancesinderivingtheexactdistributionofmaximumannualdailyprecipitation
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