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We first validated the model on individual trajectories of famous athletes (Roger Federer, Serena Williams, Sidney Crosby, and Lionel Messi). Second, we fitted the model on athletic achievements across sports, geographical scale and gender. We show that the model provides good predictions for the distributions of grand slam victories in tennis (male players, n = 1528; female players, n = 1274), major wins in golf (male players, n = 1011; female players, n = 1183), goals scored in the NHL (ice hockey, n = 6677) and in FC Barcelona (soccer, n = 585). 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