Frequency Analysis Using 3-Variate Archimedean Copula

Kao and Govindaraju (Water Resour Res 44:W02415, 2008) and Song and Singh (Stoch Env Res Risk Assess 24:783–805, 2010) used three-variate Plackett copulas to investigate extreme rainfall and model joint distribution of Dd, Ds, and Di, respectively. Wong et al. (J Hydrol Eng 15:129–141, 2010) utilized trivariate Student’s t copula to identify three-variate drought events in New South Wales, Australia, while Madadgar and Moradkhani (Assessment of Climate Change Impacts on Drought Returns Periods Using Copula[C]. Symposium on Data-Driven Approaches to Droughts: 31, 2011) evaluated the impact of climate change on future droughts using trivariate joint distribution of drought events based on general circulation models (GCMs) outputs.