Bivariate rainfall frequency distributions using Archimedean copulas

By Lei Zhang, Vijay P. Singh. 2007

420 citations recorded by the source corpus.

Subfields: Finance, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/9a35f57264ba424449667ff09e3e1f20e6d1dbc5

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Citations in the corpus

Hydrological uncertainty processor based on a copula function (2018, methodology): “So the conditional cdf Fnðsnjh0; hnÞ and pdf fnðsnjh0; hnÞ are rewritten as (Zhang and Singh 2007c): Fnðsnjh0; hnÞ ¼ PðU3 u3jU1 ¼ u1;U2 ¼ u2Þ ¼ @ 2Cðu1; u2; u3Þ=@u1@u2 cðu1; u2Þ (9) fnðsnjh0;hnÞ ¼ 1cðu1;u2Þ @3Cðu1;u2;u3Þ @u1@u2@u3 du3 dsn ¼ cðu1;u2;u3Þ cðu1;u2Þ fSnðsnÞ (10) where cðu1; u2; u3Þ ¼…”
Entropy–Copula in Hydrology and Climatology (2014, methodology): “The flood peak flow (Q) and volume (V) data extracted from the daily streamflow data from 1963 to 1995 from the Saguenay region in Quebec, Canada, are used for bivariate frequency analysis (Yue et al. 1999; Chebana and Ouarda 2011; Zhang and Singh 2007).”
Copulas and Its Application in Hydrology and Water Resources (2018, methodology): “…resources can be summarized as: rainfall frequency analysis (Michele and Salvadori 2003; Grimaldi and Serinaldi 2006a; Kao and Govindaraju 2007; Zhang and Singh 2007a; Kuhn et al. 2007; and Keef et al. 2009), flood frequency analysis (Favre et al. 2004; Shiau et al. 2006; Zhang and Singh 2006,…”
Copula-based assimilation of radar and gauge information to derive bias-corrected precipitation fields (2012, methodology): “…frequency analysis, geostatistical interpolation and multivariate extreme value analyses (e.g. De Michele and Salvadori, 2003; Dupois, 2007; Bárdossy, 2006; Genest and Favre, 2007; Renard and Lang, 2007; Schölzel and Friederichs, 2008;15 Bárdossy and Li, 2008; Zhang and Singh, 2008).”
Multivariate Copula Analysis Toolbox (MvCAT): Describing dependence and underlying uncertainty using a Bayesian framework (2017, background): “in Quebec, Canada, for the period of 1963–1995 [Yue et al., 1999; Chebana and Ouarda, 2011; Zhang and Singh, 2007; AghaKouchak, 2014].”
Meta-elliptical copulas for drought frequency analysis of periodic hydrologic data (2010, background): “Marginal probability distributions of drought duration and severity have been given by Yevjevich (1967) , Jackson (1975), Sen (1976, 1977), and Mathier et al. (1992).”
Trivariate Frequency Analyses of Peak Discharge, Hydrograph Volume and Suspended Sediment Concentration Data Using Copulas (2014, methodology): “Zhang and Singh (2006) used one parameter Archimedean copulas for bivariate flood frequency analysis, while Zhang and Singh (2007b) used Gumbel-Hougaard copula for trivariate flood frequency analysis.”
Copula-based statistical refinement of precipitation in RCM simulations over complex terrain (2011, methodology): “Copula-based models have been introduced for multivariate frequency analysis, risk assessment, geostatistical interpolation and multivariate extreme value analyses (e.g. De Michele and Salvadori, 2003; Bárdossy, 2006; Genest and Favre, 2007; Renard and Lang, 2007; Schölzel and Friederichs, 2008; Bár”
Probabilistic modeling of flood characterizations with parametric and minimum information pair-copula model (2016, methodology): “In particular, these models have been widely used in multivariate analysis of hydrological data (Genest et al., 2007, 2009; Grimaldi and Serinaldi, 2006; Salvadori et al., 2007; Serinaldi and Grimaldi, 2007; Yan et al., 2007; Zhang and Singh, 2007; Song and Singh, 2010).”
IDF relationships using bivariate copula for storm events in Peninsular Malaysia (2012, background): “The conditional copula is written as (Zhang and Singh, 2007) CUjV¼mðujV ¼ mÞ ¼ @ @m CU;V ðu; vÞjV¼v : ð3Þ Similar to the return period of any conditional bivariate distributions, the relationship between the conditional copula and the selected return period is CUjV¼mðujV ¼ mÞ ¼ 1 1 T : ð4Þ Hence,…”
Identification of suitable copulas for bivariate frequency analysis of flood peak and flood volume data (2011, methodology): “Zhang & Singh (2007c) also employed the GH copula for obtaining a trivariate distribution of flood peak flow, volume and duration data.”