In this article, a heuristic approach is used to determined the best approximate distribution of $\dfrac{Y_1}{Y_1 + Y_2}$, given that $Y_1,Y_2$ are independent, and each of $Y_1$ and $Y$ is distributed as the $\mathcal{F}$-distribution with common denominator degrees of freedom. The proposed approximate distribution is subject to graphical comparisons and distributional tests. The proposed distribution is used to derive the distribution of the elemental regression weight $\omega_E$, where $E$ is the elemental regression set.

翻译：本文采用启发式方法确定$\dfrac{Y_1}{Y_1 + Y_2}$的最佳近似分布，其中$Y_1,Y_2$相互独立，且$Y_1$与$Y$均服从具有公共分母自由度的$\mathcal{F}$分布。所提出的近似分布通过了图形化比较与分布检验。该分布进一步被用于推导元回归权重$\omega_E$的分布，其中$E$为元回归集。