论文标题
使用累积统计计算的可靠度量的偏度度量
A robust measure of skewness using cumulative statistic calculation
论文作者
论文摘要
分布形状的一个重要方面是不对称水平。强大的不对称性在许多生态系统中起作用，并且在个人的大小和生殖成功中发现。但是，偏度的标准第三刻系数的缺点是它对离群值非常敏感，这可能导致不正确的解释。引入了一个新的指标，该指标基于计算Lorenz曲线框架的累积统计数据，但它评估了基础分布的不对称性。简要描述了提议措施满足的偏度度量的标准要求，并使用带有和没有异常值的对数正态分布进行比较。结果表明，所提出的度量对“正常”分布的行为相似，但如果有异常值，则稳健（不是过于敏感）。
An important aspect of the shape of a distribution is the level of asymmetry. Strong asymmetries play a role in many ecosystems and are found in the size and reproductive success of individuals. But the standard third moment coefficient of skewness has the drawback that it is very sensitive to outliers, which can lead to incorrect interpretations. A new metric is introduced that is based on calculating the cumulative statistics of the Lorenz curve framework, but it evaluates the asymmetry of the underlying distribution. The standard requirements for skewness measures which the proposed measure satisfies are briefly described and it is compared to the moment-based measure using the lognormal distribution with and without outliers. The results demonstrate that the proposed measure behaves similarly for 'normal' distributions, but is robust(not overly sensitive) if there are outliers.
