论文标题
足球小组提取概率和更正
Football Group Draw Probabilities and Corrections
论文作者
论文摘要
本文考虑了设计足球小组的挑战，这些机制在所有有效的抽签任务中都具有统一的分布，但也是娱乐，实用和透明的。我们解释了如何模拟FIFA顺序抽奖方法，以与均匀的排斥采样器相比，计算其平均值的不均匀性。然后，我们提出了两种实用的方法来实现均匀分布，同时仍以适合电视抽签的方式使用球和碗。解决方案也可以进行交互尝试。
This paper considers the challenge of designing football group draw mechanisms which have the uniform distribution over all valid draw assignments, but are also entertaining, practical, and transparent. We explain how to simulate the FIFA Sequential Draw method, to compute the non-uniformity of its draws by comparison to a uniform Rejection Sampler. We then propose two practical methods of achieving the uniform distribution while still using balls and bowls in a way which is suitable for a televised draw. The solutions can also be tried interactively.
