We present new expressions for the densities and distributions of the largest eigenvalue and the trace of a Beta–Wishart matrix. The series expansions for these expressions involve fewer terms than previously known results. For the trace, we also present a new algorithm that is linear in the size of the matrix and the degree of truncation, which is optimal.

中文翻译：

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最大特征值的密度和分布以及 Beta-Wishart 矩阵的迹

我们提出了最大特征值的密度和分布以及 Beta-Wishart 矩阵的迹的新表达式。这些表达式的级数展开涉及的项比以前已知的结果少。对于迹线，我们还提出了一种新算法，该算法在矩阵大小和截断程度方面是线性的，是最优的。