A new unit-bimodal distribution based on correlated Birnbaum-Saunders random variables

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.