In this paper, we propose a new distribution over the unit interval which can be characterized as a ratio of the type Z=Y/(X+Y) where X and Y are two correlated Birnbaum-Saunders random variables. The stress-strength probability between X and Y is calculated explicitly when the respective scale parameters are equal. Two applications of the ratio distribution are discussed.

翻译：本文提出了一种定义在单位区间上的新分布，该分布可表征为Z=Y/(X+Y)形式的比率，其中X和Y是两个相关的Birnbaum-Saunders随机变量。当相应尺度参数相等时，我们显式计算了X与Y之间的应力-强度概率。文中还讨论了该比率分布的两个应用场景。