Abstract We study the stability of a time-aware version of the popular Massey method, previously introduced by Franceschet, M., E. Bozzo, and P. Vidoni. 2017. “The Temporalized Massey’s Method.” Journal of Quantitative Analysis in Sports 13: 37–48, for rating teams in sport competitions. To this end, we embed the temporal Massey method in the theory of time-varying averaging algorithms, which are dynamic systems mainly used in control theory for multi-agent coordination. We also introduce a parametric family of Massey-type methods and show that the original and time-aware Massey versions are, in some sense, particular instances of it. Finally, we discuss the key features of this general family of rating procedures, focusing on inferential and predictive issues and on sensitivity to upsets and modifications of the schedule.

中文翻译：

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Massey类型方法的参数族：推理，预测和敏感性

摘要我们研究了由Franceschet，M.，E。Bozzo和P. Vidoni先前引入的流行梅西方法的时间感知版本的稳定性。2017年。“临时梅西方法”。体育中的定量分析杂志13：37–48，用于体育比赛中的评分团队。为此，我们将时态Massey方法嵌入时变平均算法的理论中，时变平均算法是动态系统，主要用于控制理论中的多主体协调。我们还介绍了Massey类型方法的参数族，并显示了原始的和具有时间意识的Massey版本在某种意义上是其特定实例。最后，我们讨论了这一通用评分程序系列的主要功能，重点是推断性和预测性问题以及对计划变更和修改的敏感性。