Simulation of a Probabilistic Model for Multi-Contestant Races

Predictions of sports games have been recognized as an important area of study for its economic significance. The majority of models for such games cover two-player games and the resulting championships or study individual players or teams and their resulting comparative position. However, many sports involve race-type multicontestant games, which are more complex in modeling. In this paper we outline the difficulties associated with the study of such races

[1]  Hyeonsang Eom,et al.  A compound framework for sports results prediction: A football case study , 2008, Knowl. Based Syst..

[2]  R. Lamberts.  Predicting cycling performance in trained to elite male and female cyclists. , 2014, International journal of sports physiology and performance.

[3]  Ruth N. Bolton,et al.  Searching for positive returns at the track: a multinomial logic model for handicapping horse races , 1986 .

[4]  Mukhtar M. Ali.  Probability and Utility Estimates for Racetrack Bettors , 1977, Journal of Political Economy.

[5]  E. Gumbel.  Bivariate Exponential Distributions , 1960 .

[6]  D. McFadden.  Conditional logit analysis of qualitative choice behavior , 1972 .

[7]  I. G. Esters,et al.  Utility of team indices for predicting end of season ranking in two national polls. , 1995 .

[8]  H. Stekler,et al.  P redicting the outcomes of National Football League games , 2003 .

[9]  Mohammad Ahsanullah,et al.  An Introduction to Order Statistics , 2013 .

[10]  Sergey Brin,et al.  The Anatomy of a Large-Scale Hypertextual Web Search Engine , 1998, Comput. Networks.

[11]  S Marsden.  The Introduction of Order , 2000 .

[12]  Gianluca Baio,et al.  Bayesian hierarchical model for the prediction of football results , 2010 .

[13]  Norman E. Fenton,et al.  1 2 3 4 5 6 7 , 2001 .

[14]  R. K. Ursem.  Multi-objective Optimization using Evolutionary Algorithms , 2009 .

[15]  Herman Stekler,et al.  Issues in Sports Forecasting , 2010 .

[16]  Owen Jones,et al.  Exploring Decision Makers' Use of Price Information in a Speculative Market , 2006, Manag. Sci..

[17]  Lasko Basnarkov,et al.  PageRank Approach to Ranking National Football Teams , 2015, ArXiv.

[18]  David A. Harville,et al.  Assigning Probabilities to the Outcomes of Multi-Entry Competitions , 1973 .