Abstract This paper investigates the fouling time distribution of players in the National Basketball Association. A Bayesian analysis is presented based on the assumption that fouling time distributions follow a gamma distribution. Various insights are obtained including the observation that players accumulate fouls at a rate that increases with the current number of fouls. We demonstrate possible ways to incorporate the fouling time distributions to provide decision support to coaches in the management of playing time.

中文翻译：

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NBA犯规积累

摘要本文研究了美国国家篮球协会运动员的犯规时间分布。基于结垢时间分布遵循伽马分布的假设，提出了贝叶斯分析。获得了各种见解，包括观察到玩家累积犯规的次数随当前犯规次数的增加而增加。我们演示了合并结垢时间分布的可能方法，以便为教练提供比赛时间管理方面的决策支持。