“…The conditional statistics of RR errors were first presented in Ciach and Gebremichael (2004), and the method was later described in detail by Ciach et al (2007). After that, conditional statistics have been applied to evaluations and intercomparisons of RR products (Cunha et al, 2015; Habib et al, 2013; Sharif et al, 2020), to analyses of RR error structure (Habib & Qin, 2013; Villarini et al, 2008), to examine effects of RR error structure on streamflow predictions (Cunha et al, 2012; Habib et al, 2008), to probabilistic rain rate estimation (Kirstetter et al, 2015), to probabilistic flash flood forecasting (Villarini et al, 2010), to generate ensembles of probable surface rainfall fields based on arrays of deterministic RR estimates (Villarini, Krajewski, Ciach, et al, 2009, 2014), and to account for RR errors in evaluation of satellite rainfall estimates (Villarini, Krajewski, & Smith, 2009).…”