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Faster identification of faster Formula 1 drivers via time-rank duality

Applications 2024-06-21 v2 Probability

Abstract

Two natural ways of modelling Formula 1 race outcomes are a probabilistic approach, based on the exponential distribution, and econometric modelling of the ranks. Both approaches lead to exactly soluble race-winning probabilities. Equating race-winning probabilities leads to a set of equivalent parametrisations. This time-rank duality is attractive theoretically and leads to quicker ways of dis-entangling driver and car level effects.

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Cite

@article{arxiv.2312.14637,
  title  = {Faster identification of faster Formula 1 drivers via time-rank duality},
  author = {John Fry and Tom Brighton and Silvio Fanzon},
  journal= {arXiv preprint arXiv:2312.14637},
  year   = {2024}
}

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9 pages