Sports Seasons Based on Score Distributions![]() There is good evidence that the number of runs scored by an American major league baseball team is Weibull-distributed. Baseball's "Pythagorean theorem" suggests that the percentage of wins over a season should be , where is the number of runs you score and is the number of runs your opponent scores. The exponent γ is generally estimated to be about 1.79. This Demonstration suggests that the standard deviation of the distribution of runs may matter, too.A leading academic work on this topic is "A Derivation of the Pythagorean Won-Loss Formula in Baseball" by Steven J. Miller. Snapshot 1: what might happen if a baseball games were doubleheaders in which each game lasted a fewer number of innings ![]() "Sports Seasons Based on Score Distributions" from The Wolfram Demonstrations Project http://demonstrations.wolfram.com/SportsSeasonsBasedOnScoreDistributions/ Contributed by: Seth J. Chandler Additional contributions by: Theodore Gray |
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