Duckworth–Lewis and Twenty20 cricket

R Bhattacharya (), P S Gill and T B Swartz
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R Bhattacharya: Simon Fraser University
P S Gill: University of British Columbia, Okanagan
T B Swartz: Simon Fraser University

Journal of the Operational Research Society, 2011, vol. 62, issue 11, 1951-1957

Abstract: 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.

Keywords: Duckworth–Lewis method; Gibbs sampling; isotonic regression; Twenty20 cricket (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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DOI: 10.1057/jors.2010.175

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