Return period of bivariate distributed extreme hydrological events

By J. Shiau. 2003

258 citations recorded by the source corpus.

Subfields: Global and Planetary Change, Water Science and Technology

View Paper: https://www.semanticscholar.org/paper/d033cd0844ae9f50cebded5e9ec6fa7bb5a28b61

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In Global and Planetary Change

In Water Science and Technology

Citations in the corpus

Multivariate return periods in hydrology: a critical and practical review focusing on synthetic design hydrograph estimation (2012, background): “…frequency analysis is becoming more and more widespread and several papers provide insight into generalizations of the univariate case and into new definitions of the multivariate return period (see e.g.Salvadori et al., 2011; Salvadori and De Michele, 2004; Shiau, 2003; Yue and Rasmussen, 2002).”
Copula based analysis of rainfall severity and duration: a case study (2013, methodology): “Sklar (1959) introduced copulas and elucidated their properties.”
A comparative copula‐based bivariate frequency analysis of observed and simulated storm events: A case study on Bartlett‐Lewis modeled rainfall (2011, background): “Equation (19) has been stated several times in literature in the context of a danger for underdimensioning and overdimensioning of structures [Yue and Rasmussen, 2002; Shiau,2003; SalvadoriandDeMichele,2004].Equation(20) can be understood by analysis of equations (15) and (17).”
A multivariate copula‐based framework for dealing with hazard scenarios and failure probabilities (2016, background): “Mimicking [Shiau, 2003, p. 56], the following sentence well depicts the issue: the use of OR or AND HS’s ‘‘depends on what situations will destroy the structure.”
Risk Assessment of Droughts in Gujarat Using Bivariate Copulas (2012, unknown): “These two types of return periods can be computed using copula-based approach (Shiau 2003), which are given by TDS ¼ E Idð ÞP D d or S sð Þ ¼ E Idð Þ 1 FDS d; sð Þ ¼ E Idð Þ 1 C FDðdÞ;FSðsÞð Þ ð44Þ T 0 DS ¼ E Idð ÞP D d and S sð Þ ¼ E Idð Þ1 FDðdÞ FSðsÞþFDS d;sð Þ ¼ E Idð Þ1 FDðdÞ FSðsÞþC…”
A new stochastic model of episode peak and duration for eco-hydro-climatic applications (2008, methodology): “A bivariate extreme value istribution with Gumbel marginals was used by Shiau (2003) nd (after transforming the data) by Goel et al. (1998).”
Multivariate L‐moment homogeneity test (2007, methodology): “Yue [2001b], Yue and Rasmussen [2002] and Shiau [2003] used the Gumbel logistic model with standard Gumbel marginal distributions to model flood volume and peak for different basins.”
Joint probability of precipitation and discharge deficits in the Netherlands (2004, methodology): “Both bivariate distributions have been applied in the water resources literature [Leytham, 1987; Kroll and Stedinger, 1998; Yue et al., 1999; Yue, 2001; Shiau, 2003], but a thorough comparison is lacking.”
IDF relationships using bivariate copula for storm events in Peninsular Malaysia (2012, background): “, 2001), bivariate lognormal (Yue, 2002) and bivariate extreme value distribution (Shiau, 2003).”
Multivariate drought characteristics using trivariate Gaussian and Student t copulas (2013, methodology): “…et al., 1998; Fernández and Salas, 1999; Chung and Salas, 2000; Shiau and Shen, 2001; González and Valdés, 2003; Kim et al., 2003, 2006; Shiau, 2003; Cancelliere and Salas, 2004; Loáiciga, 2005; Salas et al., 2005; Nadarajah, 2007; Shiau et al., 2007; Mishra et al., 2008) have been…”