Abstract
In this chapter, we treat regional frequency analysis (RFA) in the multivariate setting. Combining regional and multivariate aspects leads to the multivariate RFA, whose aim is to estimate hydrological quantiles (risks) at ungauged sites. Usually, in the latter, no hydrological data are available unlike the local (at-site) analysis seen in the previous chapters. RFA in the univariate setting is widely used by hydrologists. On the other hand, the multivariate nature of hydrological phenomena is present when either sites are gauged or ungauged. Therefore it is more realistic to consider multivariate RFA. First, we briefly introduce the basics of regional hydrological frequency analysis followed by presenting the multivariate context of RFA. Then, we present the delineation and the regional estimation as the two main components of RFA. The last section is dedicated to a discussion of different elements in the multivariate RFA.
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