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Using Conditional Estimates to Simulate In-Play Outcomes in Limited Overs Cricket

Author

Listed:
  • Sargent Jonathan RT

    (RMIT University)

  • Bedford Anthony

    (RMIT University)

Abstract

This paper uses conditional probability distributions to simulate batsman outcomesâ"that is, runs and dismissalsâ"while a limited overs cricket match is in play. The research was motivated by the potential to assess, and reassess, the likelihood of a batsman achieving a certain score within a specified interval. These likelihoods were conditional on the batsman type, a linear combination of batsman order, strike rate and contribution to team runs, and the delivery number, both discrete variables. A Visual Basic program, SimScore, was written to simulate batsman scores from the probability distributions pertaining to the match stages of interest. The scores were then adjusted for team strength, innings and venue effects, using multiple regression. The paper demonstrates the benefits of the model by fitting log-normal distributions to simulated innings (n=500) by Australiaâs Ricky Ponting in the 2011 cricket World Cup quarter final. The distributions allowed us to approximate how likely he was to achieve a certain score prior to the match and at 10-, 20- and 30-over stages. It is anticipated that real-time information of a batsman's score expectations will add confidence to wagering in individual performance marketsâ"such as âhighest individual scoreââ"as well as making possible in-play player rating revisions.

Suggested Citation

  • Sargent Jonathan RT & Bedford Anthony, 2012. "Using Conditional Estimates to Simulate In-Play Outcomes in Limited Overs Cricket," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 8(2), pages 1-20, June.
    • Handle: RePEc:bpj:jqsprt:v:8:y:2012:i:2:n:5
    DOI: 10.1515/1559-0410.1430
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    References listed on IDEAS

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    1. Steve Easton & Katherine Uylangco, 2007. "An Examination of In-Play Sports Betting Using One-Day Cricket Matches," Journal of Prediction Markets, University of Buckingham Press, vol. 1(2), pages 93-109, July.
    2. Bracewell Paul J & Ruggiero Katya, 2009. "A Parametric Control Chart for Monitoring Individual Batting Performances in Cricket," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 5(3), pages 1-21, July.
    3. Alan C. Kimber & Alan R. Hansford, 1993. "A Statistical Analysis of Batting in Cricket," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 156(3), pages 443-455, May.
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