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动态Bradley-Terry模型在中国足球超级联赛球队实力分析中的应用 被引量:1

The Application of Dynamic Bradley-Terry Model in Analysis of Abilities about Teams in China Football Association Super League
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摘要 随着我国职业体育赛事的不断发展,与其相关的数据分析与统计工作也越来越受到重视.应用Bradley—Terry模型结合指数加权移动平均过程对2015赛季的中国足球超级联赛的16支球队的实力进行了动态分析,得到了各支球队的实力在整个赛季随时间变化的趋势,再根据球队实力变化趋势,将16支球队分成三类,各类都表现出了不同的特点.与Bradley—Terry模型分析结果相比,应用指数加权移动平均过程的动态Bradley—Terry模型提供的信息更多,计算结果更合理. With the development of professional sports in China, data analysis and statistical computation have got more and more attention. Applying Bradley-Terry model combined with exponentially weighted moving average process to analyze abilities of 16 teams for the China Football Association Super League in 2015 season, we got the change trend of the ability of each team along with time variation during the regular season. Then we divide 16 teams into 3 categories based on the change trend of the ability of each team, and different categories showed different characters. Compared with the anMysis results only applying Bradley-Terry model, applying Bradley-Terry model combined with exponentially weighted moving average process could provide more information and make the result of calculation more reasonable.
作者 侯文 朱璇敏 郭丹 孙德山 HOU Wen;ZHU Xuan-min;GUO Dan;SUN De-shan(School of Mathematics,Liaoning Normal University,Dalian 116029,China)
出处 《数学的实践与认识》 北大核心 2018年第13期144-151,共8页 Mathematics in Practice and Theory
基金 辽宁省自然科学基金面上项目(201602461)
关键词 成对比较数据 Bradley-Terry模型 累积Logit模型 指数加权移动平均过程 paired comparison data bradley-terry model cumulative logit model expo- nentially weighted moving average process
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