国际板球一日比赛击球成绩综合多因素比较方法的建立

Sahadeb Sarkar, Subhasis Mishra, Sanjeev Kumar
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引用次数: 1

摘要

在板球运动中,传统上会对一天国际(ODI)击球手的打击率(BA)和命中率(SR)进行比较。传统的BA计算方法假设击球手的得分遵循指数或几何分布。这导致不合理地将击球不一致性等同于击球平均值。我们的研究表明,威布尔分布模型独立于击球手的BA,对击球手的不一致性做出了非常合理的评估。它也为ODI击球手的击球得分提供了极好的拟合。我们还引入了一种衡量击球手得分的“高质量跑动”的方法,该方法考虑了对手的难度。此外,还定义了寿命指数和反对派多样性指数,使比较更加全面。在将可用数据分为主场、客场和中立比赛方面,我们进行了大量的数据工程工作。本文提出的措施比文献中发现的措施更全面、更细致。这六个标准的各种组合用于通过分配主成分分析得出的客观权重来对一组优秀的ODI击球手进行排名。最后,多元统计异常值检测过程产生了不同的优秀球员名单,对应于不同的标准组合。我们提出的方法可能会被球队管理层用于在特定情况下选择最佳击球手。
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Development of a Comprehensive Multi-Factor Method for Comparing Batting Performances in One-Day International Cricket
In cricket, one-day-international (ODI) batsmen have traditionally been compared on the dimensions of batting average (BA) and strike rate (SR). The conventional method of computing BA assumes that runs scored by a batsman follow an exponential or geometric distribution. This results in unreasonably equating batting inconsistency with batting mean. Our study shows that a Weibull distribution model gives a very sensible assessment of a batsman’s inconsistency, independent of his BA. It also provides a superior fit to batting scores of ODI batsmen. We also introduce a measure for ‘quality-runs’ scored by a batsman which takes into account the difficulty level of opposition. Additionally, longevity index and opposition diversity index are defined to make comparisons more holistic. A substantial amount of data engineering effort is made in segregating available data into home, away and neutral matches. The measures proposed in this paper are more comprehensive and granular than those found in the literature. Various combinations of these six criteria are used to rank a select group of great ODI batsmen by assigning objective weights derived from principal component analysis. Finally, multivariate statistical outlier detection procedure produces different lists of outstanding players corresponding to different combinations of criteria. Our proposed methodology may be gainfully used by a team management to select best batsmen in a given situation.
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来源期刊
CiteScore
3.90
自引率
31.20%
发文量
25
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