Multifractal rainfall extremes: Theoretical analysis and practical estimation

By Andreas Langousis, Daniele Veneziano, P. Furcolo, C. Lepore. 2009

81 citations recorded by the source corpus.

Subfields: Global and Planetary Change, Water Science and Technology

View Paper: https://www.semanticscholar.org/paper/24169bc7a7630dcf03f69befe6cdc6cd6bf5067c

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Citations in the corpus

New asymptotic and preasymptotic results on rainfall maxima from multifractal theory (2009, methodology): “The distribution of Z does not have analytical form, but it can be calculated numerically using the procedure of Veneziano and Furcolo [2003], or approximated analytically [see Langousis et al., 2007].”
Marginal methods of intensity‐duration‐frequency estimation in scaling and nonscaling rainfall (2007, background): “On the other hand, multifractal analysis suggests that this is true only under the asymptotic conditions d ! 0 or T ! 1, whereas for nonzero d and finite T the IDF values are more sensitive to T when d is small than when d is large [Veneziano and Furcolo, 2002; Langousis and Veneziano, 2007; Langous”
Threshold detection for the generalized Pareto distribution: Review of representative methods and application to the NOAA NCDC daily rainfall database (2016, background): “…1995; Deidda et al., 1999, 2004, 2006; Deidda, 2000; Veneziano and Langousis, 2005; Veneziano et al., 2006, 2009; Langousis and Veneziano, 2007; Langousis et al., 2009, 2013; Veneziano and Lepore, 2012; Veneziano and Yoon, 2013, and the review in Veneziano and Langousis, 2010], the statistical…”
Time scale and intensity dependency in multiplicative cascades for temporal rainfall disaggregation (2009, methodology): “Another technique is to use a mixed distribution, in which a separate function is used to calculate the (nonzero) probability of W exactly equal to 0 (or also 1 for microcanonical cascades) [e.g., Over and Gupta, 1996; Olsson, 1998; Langousis and Veneziano, 2007; Langousis et al., 2009; Paulson and ”
Random Fields Simplified: Preserving Marginal Distributions, Correlations, and Intermittency, With Applications From Rainfall to Humidity (2020, background): “…wavelets transforms (Kumar & Foufoula‐Georgiou, 1997), or are based on fractal and multifractal techniques (see, e.g., Foufoula‐Georgiou, 1998; Gupta & Waymire, 1993; Langousis et al., 2009; Lovejoy & Mandelbrot, 1985; Lovejoy & Schertzer, 1990; Schertzer & Lovejoy, 1987; Veneziano et al., 2006).”
A multiple threshold method for fitting the generalized Pareto distribution to rainfall time series (2010, methodology): “…fitted to the Box-Cox transformed data), and lognormal (e.g.,Swift and Schreuder, 1981; Kedem et al., 1990a,b, 1997; Shimizu, 1993; Katz, 1999; Cheng and Qi, 2002; Cho et al., 2004; Shoji and Kitaura, 2006; Langousis and Veneziano, 2007; Langousis et al., 2009; Suhaila and Jemain, 2007).”
Non‐stationary intensity‐duration‐frequency curves integrating information concerning teleconnections and climate change (2018, background): “…derived based on empirical evidence, its validity was later substantiated asymptotically in the context of stochastic self-similar (i.e., multifractal) processes; see Veneziano and Langousis (2005), Veneziano et al. (2006, 2009), Langousis et al. (2009, 2013), and Tyralis and Langousis (2018).”