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  • 标题:A Comparison of Truncated and Time-Weighted Plackett–Luce Models for Probabilistic Forecasting of Formula One Results
  • 本地全文:下载
  • 作者:Daniel A. Henderson ; Liam J. Kirrane
  • 期刊名称:Bayesian Analysis
  • 印刷版ISSN:1931-6690
  • 电子版ISSN:1936-0975
  • 出版年度:2018
  • 卷号:13
  • 期号:2
  • 页码:335-358
  • DOI:10.1214/17-BA1048
  • 语种:English
  • 出版社:International Society for Bayesian Analysis
  • 摘要:We compare several variants of the Plackett–Luce model, a commonlyused model for permutations, in terms of their ability to accurately forecast Formula One motor racing results. A Bayesian approach to forecasting is adopted and a Gibbs sampler for sampling from the posterior distributions of the model parameters is described. Prediction of the results from the 2010 to 2013 Formula One seasons highlights clear strengths and weaknesses of the various models. We demonstrate by example that down weighting past results can improve forecasts, and that some of the models we consider are competitive with the forecasts implied by bookmakers odds.
  • 关键词:Bayesian inference; Gibbs sampling; latent variable models;permutations; ranks; sport.
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