Journal of the Royal Statistical Society Series D (The Statistician) · 2000 · 62 citations · 0 references
Public HealthEconomicsOptimizationPopulation EcologySurvival AnalysisBehavioral Game TheoryDynamic ProgrammingOptimal ForagingParametric Survival ModelsSurvival FunctionsSurvival ModelingOptimal PoliciesProbabilistic Survival Models
The paper attempts to understand batting strategies that are employed in limited overs cricket games. The question of the optimum batting strategy is posed in a simplified dynamic programming representation. We demonstrate that optimum strategies may be expected to differ fundamentally in the first and second innings, typically involving an increasing run rate when setting a target but a run rate which may decline over the course of an innings when chasing one. Data on English county level limited overs games are used to estimate a model of actual batting behaviour. The statistical framework takes the form of an interesting variant on conventional survival analysis models.