  Birnbaum-Saunders models have been widely used to model positively skewed
data. In this paper, we introduce a bivariate Birnbaum-Saunders distribution
which has the means as parameters. We present some properties of the univariate
and bivariate Birnbaum-Saunders models. We discuss the maximum likelihood and
modified moment estimation of the model parameters and associated inference. A
simulation study is conducted to evaluate the performance of the maximum
likelihood and modified moment estimators. The probability coverages of
confidence intervals are also discussed. Finally, a real-world data analysis is
carried out for illustrating the proposed model.
