Devising a fairer method for adjusting target scores in interrupted one-day international cricket
Abstract
One-day international cricket matches face the problem of weather interruption. In such circumstances, a so-called rain rule is used to decide the outcome. A variety of approaches for constructing such rules has been proposed, with the Duckworth-Lewis method being preferred in the sport. There are a number of issues to consider in reasoning about the effectiveness of a rain rule, notably accuracy (does the rule make the right decision?) and fairness (are both teams treated equally?). We develop an approach that is a hybrid of resource-based and so-called probability-preserving approaches and provide empirical evidence that this hybrid method is superior in terms of fairness while competitive in terms of accuracy.
References
Anselin, L., Florax, R., and Rey, S. J. (2013). Advances in spatial econometrics: methodology, tools and applications. Springer Science & Business Media.
Asif, M. and McHale, I. G. (2016). In-play forecasting of win probability in one-day international cricket: A dynamic logistic regression model. International Journal of Forecasting, 32(1):34–43.
Carter, M. and Guthrie, G. (2004). Cricket interruptus: fairness and incentive in limited overs cricket matches. Journal of the Operational Research Society, 55(8):822–829.
Clarke, S. R. (1988). Dynamic programming in one-day cricket-optimal scoring rates. Journal of the Operational Research Society, 39(4):331–337.
Duckworth, F. C. and Lewis, A. J. (1998). A fair method for resetting the target in interrupted one-day cricket matches. Journal of the Operational Research Society, 49(3):220–227.
ICC (2015). Standard one-day international match playing conditions. http: //icc-live.s3.amazonaws.com/cms/media/about_docs/559921e3b7a49-2%20 _Standard_ODI_July_2015.pdf. Accessed: 24/08/2016.
Jayadevan, V. (2002). A new method for the computation of target scores in interrupted, limited-over cricket matches. Current Science, 83(5):577–586.
Preston, I. and Thomas, J. (2000). Batting strategy in limited overs cricket. Journal of the Royal Statistical Society: Series D (The Statistician), 49(1):95–106.
Preston, I. and Thomas, J. (2002). Rain rules for limited overs cricket and probabilities of victory. Journal of the Royal Statistical Society: Series D (The Statistician),
(2):189–202.
Schall, R. and Weatherall, D. (2013). Accuracy and fairness of rain rules for interrupted one-day cricket matches. Journal of Applied Statistics, 40(11):2462–2479.
Stern, S. (2009). An adjusted Duckworth-Lewis target in shortened limited overs cricket matches. Journal of the Operational Research Society, 60(2):236–251.
Stern, S. E. (2016). The Duckworth-Lewis-Stern method: extending the Duckworth- Lewis methodology to deal with modern scoring rates. Journal of the Operational Research Society. doi:10.1057/jors.2016.30.
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