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A new Criterion for Measuring Fluctuation of Random Variable or Sample Data

机译:测量随机变量或样本数据波动的新标准

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Variance is a criterion for measuring fluctuation of random variable or sample data. Generally, fluctuation of random variable or data increases with the increase of variance. But the same variance can give us different feeling of fluctuation which results from different means or different measurement units of the random variable or sample data. Coefficient of variation (CV) can remove the effects of different means and different measurement units. And yet coefficient of variation (CV) is imperfect. According to its imperfections, a new criterion with significant measurable form and property for measuring fluctuation of random variable or sample data is proposed in this paper. Here we call the criterion ratio of fluctuation (RF) temporarily. Ratios of fluctuation (RF) are calculated for some representative random variables and some of their samples simulated in this paper.
机译:方差是测量随机变量或样本数据的波动的标准。通常,随着方差的增加,随机变量或数据的波动增加。但是相同的方差可以给我们不同的波动感,这是由随机变量或样本数据的不同方式或不同的测量单元产生的。变异系数(CV)可以去除不同方式和不同测量单元的效果。然而,变异系数(CV)是不完美的。根据其缺陷,本文提出了一种具有显着可测量形式和用于测量随机变量或样品数据波动的新标准。在这里,我们暂时呼吁波动(RF)的标准比。对一些代表性随机变量计算波动(RF)的比例,并在本文中模拟的一些样品。

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