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Analytical calculation of storm volume statistics involving Pareto‐like intensity‐duration marginals
Author(s) -
Salvadori G.,
De Michele C.
Publication year - 2004
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2003gl018767
Subject(s) - storm , copula (linguistics) , generalized pareto distribution , intensity (physics) , pareto principle , pareto distribution , statistics , statistical physics , mathematics , volume (thermodynamics) , meteorology , extreme value theory , physics , econometrics , thermodynamics , quantum mechanics
An analytical derivation of the storm volume distribution is given. The single storm is modeled as a rectangular pulse having non‐independent random duration and intensity. The structure of the dependence between storm duration and intensity is given via a suitable 2‐Copula, and the marginal distributions are endowed with Generalized Pareto laws, as recently pointed out in the hydrological Literature. The statistical properties of the rainfall volume are investigated, both analytically and using simulated samples; an application to rainfall data is also shown.