抛硬币试验误差模型及分布规律
Error model and Distribution of Coin Toss Experiment
本文针对抛硬币试验结果离散性较大的问题,引入了绝对误差、相对误差和频率误差等概念,用随机过程分析方法建立了抛硬币试验误差的数学模型,从空间和时间两个维度给出了抛硬币试验误差的统计规律,证明了多组抛硬币试验绝对误差的标准差与试验次数的平方根成正比,多组抛硬币试验的相对误差和频率误差与试验次数的平方根成反比,以及单组抛硬币试验的绝对误差与试验次数成正比等结论,可从理论上对抛硬币试验中出现的各种误差现象及问题进行解释。
iming at the problem of large discrete results of coin tossing, this paper introduces concepts such as absolute error, relative error and frequency error, and establishes a mathematical model of coin tossing error using stochastic process analysis method. The statistical law of coin toss test error is given from two dimensions of space and time.The standard deviation of the absolute error of multiple coin tossing trials is directly proportional to the square root of the number of trials, and the relative error and frequency error of multiple coin tossing trials are inversely proportional to the square root of the number of trials. The absolute error of single group coin tossing test is directly proportional to the number of trials. Various error phenomena and problems in the coin tossing experiment can be explained theoretically.
高宏
数学
抛硬币试验误差模型频率稳定性
coin toss experimenterror modelfrequency stability
高宏.抛硬币试验误差模型及分布规律[EB/OL].(2021-01-12)[2025-08-21].http://www.paper.edu.cn/releasepaper/content/202101-24.点此复制
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