论文标题
立方传输分布的不同信息特征
Different informational characteristics of cubic transmuted distributions
论文作者
论文摘要
\ cite {granzotto2017cubic}最近引入了立方传输（CT）分布。在本文中，我们得出了用于CT分布的Shannon熵，Gini的平均差异和Fisher信息（矩阵），并建立了一些理论特性。此外，我们提出了立方传输的香农熵和立方传输的Gini的平均差异。 CT香农熵用kullback-leibler的差异表示，而CT Gini的平均差异显示与能量距离相连。我们表明，Kullback-Leibler和Chi-Square Diverence不含基础父母分布。最后，我们从推论的角度进行了一些模拟研究，以针对所提出的信息度量。
Cubic transmuted (CT) distributions were introduced recently by \cite{granzotto2017cubic}. In this article, we derive Shannon entropy, Gini's mean difference and Fisher information (matrix) for CT distributions and establish some of their theoretical properties. In addition, we propose cubic transmuted Shannon entropy and cubic transmuted Gini's mean difference. The CT Shannon entropy is expressed in terms of Kullback-Leibler divergences, while the CT Gini's mean difference is shown to be connected with energy distances. We show that the Kullback-Leibler and Chi-square divergences are free of the underlying parent distribution. Finally, we carry out some simulation studies for the proposed information measures from an inferential viewpoint.
