Partial orderings and measures of information for continuous univariate random variables with special roles of Gaussian and uniform distributions are discussed. The information measures and measures of non-Gaussianity including the third and fourth cumulants are generally used as projection indices in the projection pursuit approach for the independent component analysis. The connections between information, non-Gaussianity and statistical independence in the context of independent component analysis is discussed in detail.

中文翻译：

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信息和独立成分分析的概念

讨论了具有高斯分布和均匀分布特殊作用的连续单变量随机变量的偏序和信息测度。包括第三和第四累积量在内的信息测度和非高斯性测度通常用作投影追踪方法中的投影指标，用于独立分量分析。详细讨论了独立分量分析中信息、非高斯性和统计独立性之间的联系。