论文标题

条件概率矩阵和$ s^2 $ -Lank

Conditional Probability Matrix and the $S^2$-rank

论文作者

Staic, Mihai D.

论文摘要

使用[5]中的$ det^{s^2} $映射,我们介绍了$ s^2 $ -lank的概念$ d \ times \ times \ frac \ frac {s(s-1)} {2} $。作为一个应用程序,我们表明与两个随机变量关联的条件概率矩阵的$ s^2 $ - 量子等于$ 1 $。在适当的条件下,我们证明该结果的相反也成立。

Using the $det^{S^2}$ map from [5], we introduce the notion of $S^2$-rank of a matrix of type $d\times \frac{s(s-1)}{2}$. As an application, we show that the conditional probability matrix associated to two random variables has the $S^2$-rank equal to $1$. Under suitable conditions we prove that the converse of this result also holds.

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