The Bivariate Unit-Sinh-Normal Distribution and Its Related Regression Model

In this paper, a new bivariate absolutely continuous probability distribution is introduced. The distribution, which called the unit-sinh-normal (BVUSHN) arises by applying transformation to Birnbaum–Saunders (BVBS). main properties of proposal are studied in detail. addition, from BVUSHN regression model also For both and respective associated model, parameter estimation conducted classical approach using maximum likelihood method together with two-step method. A small Monte Carlo simulation study carried out evaluate behavior used estimators. Finally, for illustrative purposes, two applications real data presented usefulness proposals evidenced.