This work presents the speech given at the 2022 National Statistics Award ceremony, summarizing the main scientific contributions of the recipient, Professor Enrique Castillo. These contributions include significant advancements in the field of extreme value statistics, where he provides analytical and graphical methods for identifying tail types, conditional specification, Bayesian networks, addressing compatibility issues, sensitivity analyses in optimization problems with closedform solutions, solving linear systems of inequalities, demonstrating that polytopes are the unique bounded solutions, fatigue models based on properties, especially the S-N and crack growth models, which provide the only models satisfying certain necessary compatibility conditions. Additionally, it covers probabilistic safety analyses of nuclear power plants, roads, and railways, allowing the assessment of risks using statistical models that include thousands of variables, as well as applications in artificial intelligence and Bayesian methods that expand the range of possible solutions by considering mixtures of much more limited distribution families.
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