零峰度系数对称分布双组分混合模型的分类

A.I. Krasilnikov
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引用次数: 0

摘要

在一类双分量混合分布的基础上,定义了K类峰度系数为零的对称非高斯分布,并将其分为两组五类。研究了四阶累积量对混合液质量系数的依赖关系,确定了混合液峰度系数为零的条件。使用双分量混合Subbotin分布来建模具有零峰度系数的单顶点对称分布是合理的。给出了峰度系数为零的对称非高斯分布的例子。K类模型的使用在设计阶段提供了一个实际的机会,可以比较所开发的方法和系统对具有零不对称系数和峰度处理的非高斯信号的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Classification of Models of Two-component Mixtures of Symmetrical Distributions with Zero Kurtosis Coefficient
On the basis of a family of two-component mixtures of distributions, a class K of symmetric non-Gaussian distributions with a zero kurtosis coefficient is defined, which is divided into two groups and five types. The dependence of the fourth-order cumulant on the weight coefficient of the mixture is studied, as a result of which the conditions are determined under which the kurtosis coefficient of the mixture is equal to zero. The use of a two-component mixture of Subbotin distributions for modeling single-vertex symmetric distributions with a zero kurtosis coefficient is justified. Examples of symmetric non-Gaussian distributions with zero kurtosis coefficient are given. The use of class K models gives a practical opportunity at the design stage to compare the effectiveness of the developed methods and systems for non-Gaussian signals with zero coefficients of asymmetry and kurtosis processing.
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