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Probability Models for Tennis Scoring Systems

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  • Lawrence H. Riddle

Abstract

Models are developed for each of the common tennis tiebreaker scoring systems based on a fixed probability for each player to win a point on his serve. The models are used to compare each scoring system. Assumptions about and predictions from the models are tested using data from actual tennis matches.

Suggested Citation

  • Lawrence H. Riddle, 1988. "Probability Models for Tennis Scoring Systems," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(1), pages 63-75, March.
    • Handle: RePEc:bla:jorssc:v:37:y:1988:i:1:p:63-75
    DOI: 10.2307/2347494
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    Cited by:

    1. Magnus, J.R. & Klaassen, F.J.G.M., 1996. "Testing some common tennis hypotheses : Four years at Wimbledon," Discussion Paper 1996-73, Tilburg University, Center for Economic Research.
    2. Klaassen, F.J.G.M. & Magnus, J.R., 1998. "On the Independence and Identical Distribution of Points in Tennis," Other publications TiSEM 395a6222-6318-49b5-a42c-6, Tilburg University, School of Economics and Management.
    3. Jan Magnus & Franc Klaassen, 1999. "The final set in a tennis match: Four years at Wimbledon," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(4), pages 461-468.
    4. D F Percy, 2009. "A mathematical analysis of badminton scoring systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 63-71, January.
    5. Chacoma, Andrés & Billoni, Orlando V., 2023. "Probabilistic model for Padel games dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    6. Justin J. Boutilier & Timothy C. Y. Chan, 2023. "Introducing and Integrating Machine Learning in an Operations Research Curriculum: An Application-Driven Course," INFORMS Transactions on Education, INFORMS, vol. 23(2), pages 64-83, January.

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