Abstract

Cricket requires a continuity of performance by one team in batting until a violation of the playing rules is encountered. That violation—causing a binary decision, the possible dismissal of a batsman—may have a significant effect on the course of the batting side, and ultimately on the game. Some dismissals are indisputable, but a significant minority are the subject of decisions by umpires. Some of these are complex situations yet need rapid decision-making, and television slow-motion replays have highlighted the problem of apparent misjudgments. The effect of such decisions on batsmen and on innings totals can be simulated and consequently estimated to assess their importance.

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