A simple approximation to multifractal rainfall maxima using a generalized extreme value distribution model

Andreas Langousis, Alin A. Carsteanu, Roberto Deidda

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

Among different approaches that have been proposed to explain the scaling structure of temporal rainfall, a significant body belongs to models based on sequences of independent pulses with internal multifractal structure. Based on a standard asymptotic result from extreme value theory, annual rainfall maxima are typically modelled using a generalized extreme value (GEV) distribution. However, multifractal rainfall maxima converge slowly to a GEV shape, with important shape-parameter estimation issues, especially from short samples. The present work uses results from multifractal theory to propose a solution to the GEV shape-parameter estimation problem, based on an iterative numerical procedure.

Translated title of the contributionUna aproximación simple a los máximos de precipitación multifractal utilizando un modelo de distribución de valores extremos generalizados
Original languageEnglish
Pages (from-to)1525-1531
Number of pages7
JournalStochastic Environmental Research and Risk Assessment
Volume27
Issue number6
DOIs
StatePublished - Aug 2013

Keywords

  • Extreme-value distributions
  • Multifractal processes
  • Rainfall extremes
  • Rainfall scaling

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