Recently, cubic rank transmuted (CRT) distribution was introduced and studied by Granzotto et al. (2017). In this work, we consider CRT distribution and establish some of its information theoretic properties. First, divergence measures between CRT distribution and each of its components have been studied. In this regard, we consider Kullback-Leibler, harmonic mean and chi-square divergence measures. Further, we derive Shannon entropy, CRT Shannon entropy, Gini information, CRT Gini information and Fisher information matrix for CRT distribution.
翻译：最近,Granzotto等人(2017年)引进并研究了立方排位变异分布(CRT),在这项工作中,我们考虑了立方排位变异分布,并确定了一些信息理论特性。首先,研究了CRT分布及其每个组成部分之间的差异度。在这方面,我们考虑了Kullback-leiber、调和中和和奇夸差异度等量度。此外,我们从香农昆虫、CRT Shannon entropy、吉尼信息、CRT Gini信息和Fisher信息矩阵中提取了CRT的分布。
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