“…The frequency distributions of the data series forming a homogeneous group are expected to share a unique shape, apart from a local/at-site scaling factor (index flood; μ), which and usually is taken to be the population mean at each site and estimated by the sample mean of each series. Therefore, data from all weather stations in this group may be used to fit a unique parametric function, which is taken as "the regional distribution" (Hosking and Wallis 1993, 1997, Fowler and Kilsby 2003, Viglione et al 2007, Caporali et al 2008, Svensson and Jones 2010, Goudenhoofdt et al 2017, Blain et al 2021. In simple terms, a homogeneous group formed by 10 meteorological series with a length of records equal to 20 years is considered.…”