Volume 43, Issue 1
Article

Permutation Probabilities as Models for Horse Races

R. J. Henery

University of Strathclyde, Scotland

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First published: September 1981
Citations: 8

Summary

Some properties of models for the outcomes of races are described, these properties being consequences of a stochastic ordering of the permutations which define the outcomes of a race. Order statistics models which lead to stochastic ordering are also discussed—particular cases of these are the first‐order model of Plackett (1975) and the normal model of Upton and Brook (1974). An approximation for the normal model is suggested.

Number of times cited according to CrossRef: 8

  • Modelling Paired Comparison Data with Large Numbers of Draws and Large Variability of Draw Percentages Among Players, Journal of the Royal Statistical Society: Series D (The Statistician), 10.2307/2348900, 44, 4, (523-528), (2018).
  • A Comparison between Two Models for Predicting Ordering Probabilities in Multiple‐Entry Competitions, Journal of the Royal Statistical Society: Series D (The Statistician), 10.2307/2348347, 43, 2, (317-327), (2018).
  • Normal Order Statistics as Permutation Probability Models, Journal of the Royal Statistical Society: Series C (Applied Statistics), 10.2307/2348026, 35, 3, (269-275), (2018).
  • An Extreme‐Value Model for Predicting the Results of Horse Races, Journal of the Royal Statistical Society: Series C (Applied Statistics), 10.2307/2347436, 33, 2, (125-133), (2018).
  • A Note on Permutation Probabilities, Journal of the Royal Statistical Society: Series B (Methodological), 10.1111/j.2517-6161.1983.tb01225.x, 45, 1, (22-24), (2018).
  • Profitable Robot Strategies in PariiMutuel Betting, SSRN Electronic Journal, 10.2139/ssrn.2948308, (2017).
  • Estimating Independent Locally Shifted Random Utility Models for Ranking Data, Multivariate Behavioral Research, 10.1080/00273171.2011.606754, 46, 5, (756-778), (2011).
  • Conjugacy class prior distributions on metric‐based ranking models, Journal of the Royal Statistical Society: Series B (Statistical Methodology), 10.1111/1467-9868.00343, 64, 3, (433-445), (2002).