Duckworth-Lewis and Twenty20 cricket

作者：Bhattacharya R; Gill P S; Swartz T B^*

来源：Journal of the Operational Research Society, 2011, 62(11): 1951-1957.

DOI：10.1057/jors.2010.175

• Duckworth-Lewis method
• Gibbs sampling
• isotonic regression
• Twenty20 cricket

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. Journal of the Operational Research Society (2011) 62, 1951-1957. doi:10.1057/jors.2010.175 Published online 8 December 2010

• 出版日期2011-11