# Ipl Tour

Topics: Cricket, One Day International, Test cricket Pages: 29 (10426 words) Published: May 3, 2013
The Canadian Journal of Statistics Vol. 37, No. 2, 2009, Pages 143–160 La revue canadienne de statistique

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Modelling and simulation for one-day cricket

1. INTRODUCTION Simulation is a practical and powerful tool that has been used in a wide range of disciplines to investigate complex systems. When a simulation model is available, it is typically straightforward to address questions concerning the occurrence of various phenomena. One simply carries out repeated simulations and observes the frequency with which the phenomena occur. In one-day international (ODI) cricket, there are an endless number of questions that are not amenable to experimentation or direct analysis but could be easily addressed via simulation. For example, on average, would England beneﬁt from increasing the number of runs scored by changing the batting order of their third and sixth batsmen? As another example, what percentage of time would India be expected to score more than 350 runs versus Australia in the ﬁrst innings? To provide reliable answers to questions such as these, a good simulator for one-day cricket matches is required. Surprisingly, the development of simulators for one-day cricket is a topic that has not been vigorously pursued by academics. In the pre-computer days, Elderton (1945) and Wood (1945) ﬁt the geometric distribution to individual runs scored based on results from test cricket. Kimber & Hansford (1993) argue against the geometric distribution and obtain * Author to whom correspondence may be addressed. E-mail: tim@stat.sfu.ca © 2009 Statistical Society of Canada / Société statistique du Canada

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probabilities for selected ranges of individual scores in test cricket using product-limit estimators. More recently, Dyte (1998) simulates batting outcomes between a speciﬁed test batsman and bowler...

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DOI: 10.1002/cjs The Canadian Journal of Statistics / La revue canadienne de statistique
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F. C. Duckworth & A. J. Lewis (1998). A fair method for resetting targets in one-day cricket matches. Journal of the Operational Research Society, 49, 220–227. F. C. Duckworth & A. J. Lewis (2004). A successful operational research intervention in one-day cricket. Journal of the Operational Research Society, 55, 749–759. D. Dyte (1998). Constructing a plausible test cricket simulation using available real world data. In Mathematics and Computers in Sport, N. de Mestre & K. Kumar, editors, Bond University, Queensland, Australia, pp. 153–159. W. E. Elderton (1945). Cricket scores and some skew correlation distributions. Journal of the Royal Statistical Society, Series A, 108, 1–11. A. C. Kimber & A. R. Hansford (1993). A statistical analysis of batting in cricket. Journal of the Royal Statistical Society, Series A, 156, 443–455. D. Spiegelhalter, A. Thomas, N. Best & D. Lunn (2004). WinBUGS User Manual Version 1.4.1, Medical Research Council Biostatistics Unit, Cambridge. T. B. Swartz, P. S. Gill, D. Beaudoin & B. M. de Silva (2006). Optimal batting orders in one-day cricket. Computers & Operations Research, 33, 1939–1950. G. H. Wood (1945). Cricket scores and geometrical progression. Journal of the Royal Statistical Society, Series A, 108, 12–22.
Received 14 January 2008 Accepted 2 March 2009
The Canadian Journal of Statistics / La revue canadienne de statistique
DOI: 10.1002/cjs

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