This work sets the matrix variate Birnbaum–Saunders theory in the context of singular distributions and elliptical models. The termed singular matrix variate generalized Birnbaum–Saunders distribution is obtained with respect the Hausdorff measure. Several basic properties and particular cases of this distribution are also derived.
- Birnbaum–Saunders distribution
- Hausdorff measure
- singular elliptical distributions
- Singular matrix variate distributions