ABSTRACT:This paper summarizes advances made in risk‐based decisionmaking in water resources through use of the partitioned multiobjective risk method (PMRM). (Riskis a measure of the probability and severity of adverse effects.) In the PMRM, the risk of extreme events is differentiated from risk involving less extreme damage severity and is evaluated within a multiobjective framework. Study of the extreme‐event risk function f4(*) has addressed the following issues: methods for calculating f4(*); the sensitivity of f4(*) to various parameters, particularly to the partitioning point of the extreme‐event range and the selection of probability density functions; insight provided by the statistics of extremes; and the impact of f4(*) on risk management, for example, in the application of the PMRM to water resources problems. In particular, this paper shares with the reader recent research results on the PMRM, the relationship between the statistics of extremes and the conditional expected value, derived formulas for f4(*), distribution‐free estimates of f4(*), documented case studies in dam safety, and future research dir
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