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Birnbaum-Saunders models have been widely used to model positively skeweddata. In this paper, we introduce a bivariate Birnbaum-Saunders distributionwhich has the means as parameters. We present some properties of the univariateand bivariate Birnbaum-Saunders models. We discuss the maximum likelihood andmodified moment estimation of the model parameters and associated inference. Asimulation study is conducted to evaluate the performance of the maximumlikelihood and modified moment estimators. The probability coverages ofconfidence intervals are also discussed. Finally, a real-world data analysis iscarried out for illustrating the proposed model.

On a bivariate Birnbaum-Saunders distribution parameterized by its means: features, reliability analysis and application