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Duckworth–Lewis and Twenty20 cricket

Author

Listed:
  • R Bhattacharya

    (Simon Fraser University)

  • P S Gill

    (University of British Columbia, Okanagan)

  • T B Swartz

    (Simon Fraser University)

Abstract

Originally designed for 1-day cricket, this paper considers the use of the Duckworth–Lewis method as an approach to resetting targets in interrupted Twenty20 cricket matches. The Duckworth–Lewis table is reviewed and an alternative resource table is presented. The alternative table is constructed using observed scoring rates from international Twenty20 matches. A desideratum of a resource table is monotonicity in both the rows and columns corresponding to wickets and overs respectively. Consequently, a Gibbs sampling scheme related to isotonic regression is applied to the observed scoring rates to provide a non-parametric resource table. Taking into account the more aggressive batting style of Twenty20 compared to 1-day cricket, the resultant resource table is seen to possess sensible features. A discussion is provided concerning the use of the Duckworth–Lewis method applied to Twenty20.

Suggested Citation

  • R Bhattacharya & P S Gill & T B Swartz, 2011. "Duckworth–Lewis and Twenty20 cricket," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(11), pages 1951-1957, November.
    • Handle: RePEc:pal:jorsoc:v:62:y:2011:i:11:d:10.1057_jors.2010.175
    DOI: 10.1057/jors.2010.175
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    References listed on IDEAS

    as
    1. F C Duckworth & A J Lewis, 2004. "A successful operational research intervention in one-day cricket," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(7), pages 749-759, July.
    2. Gordon Bril & Richard Dykstra & Carolyn Pillers & Tim Robertson, 1984. "Isotonic Regression in Two Independent Variables," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 33(3), pages 352-357, November.
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    Cited by:

    1. Muhammad Asif & Ali Ahmadian & Muhammad Azeem & Bruno Antonio Pansera, 2021. "A short comparative study on modified Duckworth-Lewis methods," PLOS ONE, Public Library of Science, vol. 16(11), pages 1-12, November.
    2. Praveen Puram & Soumya Roy & Deepak Srivastav & Anand Gurumurthy, 2023. "Understanding the effect of contextual factors and decision making on team performance in Twenty20 cricket: an interpretable machine learning approach," Annals of Operations Research, Springer, vol. 325(1), pages 261-288, June.

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