板球比赛中的速度-精度权衡及其影响:从统计力学角度建立预测模型

Mohd Suhail Rizvi
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摘要

速度-精度权衡在各种物理系统中普遍存在。在本文中,我们展示了在木球比赛中速度与精度的权衡。在木球比赛中,"击球手 "通过 "保龄球手 "投出的球得分。结果表明,击球手的得分率与被解雇的概率之间存在幂律关系。由于可以获得大量数据,板球比赛是研究速度-精确度折衷对系统整体性能影响的绝佳模型。研究表明,幂律的指数决定了球员在不同条件下的适应性,并可用于对其进行评估。此外,研究还证明,与中等数值的球员相比,幂律指数为极端数值的球员更适合不同的比赛条件。这些研究结果可用于确定板球运动员在不同比赛形式下的潜力,并进一步帮助球队管理部门制定战略,使特定球员组合取得最佳结果。
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Speed-accuracy tradeoff and its effect in the game of cricket: predictive modeling from statistical mechanics perspective
The speed-accuracy tradeoffs are prevalent in a wide range of physical systems. In this paper, we demonstrate speed-accuracy tradeoffs in the game of cricket, where 'batters' score runs on the balls bowled by the 'bowlers'. It is shown that the run scoring rate by a batter and the probability of dismissal follow a power-law relation. Due to availability of extensive data, game of cricket is an excellent model for the study of the effect of speed-accuracy tradeoff on the overall performance of the system. It is shown that the exponent of the power-law governs the nature of the adaptability of the player in different conditions and can be used for their assessment. Further, it is demonstrated that the players with extreme values of the power-law exponent are better suited for different playing conditions as compared to the ones with moderate values. These findings can be utilized to identify the potential of the cricket players for different game formats and can further help team management in devising strategies for the best outcomes with a given set of players.
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