论文标题
斯诺克统计和ZIPF定律
Snooker Statistics and Zipf's Law
论文作者
论文摘要
ZIPF定律在语言学上是众所周知的：单词的频率与其等级成反比。这是一种更通用的权力定律的特殊情况，这是许多现实世界统计数据中的常见现象。在这里，显示Snooker统计数据也遵循这种数学模式，但具有变化（估计的）参数值。考虑了两种类型的排名（赚取的奖金和几个世纪的得分）和三个时间段（历史，十年和年）。结果表明，功率定律参数值取决于所使用的排名类型以及所考虑的时间范围。此外，在某些情况下，所得的参数值随着时间的流逝而有很大变化，为此提供了合理的解释。
Zipf's law is well known in linguistics: the frequency of a word is inversely proportional to its rank. This is a special case of a more general power law, a common phenomenon in many kinds of real-world statistical data. Here, it is shown that snooker statistics also follow such a mathematical pattern, but with varying (estimated) parameter values. Two types of rankings (prize money earned and centuries scored), and three time-frames (all-time, decade, and year) are considered. The results indicate that the power law parameter values depend on the type of ranking used as well as the time-frame considered. Furthermore, in some cases the resulting parameter values vary significantly over time, for which a plausible explanation is provided.
