  The mixture of factor analyzers model was first introduced over 20 years ago
and, in the meantime, has been extended to several non-Gaussian analogues. In
general, these analogues account for situations with heavy tailed and/or skewed
clusters. An approach is introduced that unifies many of these approaches into
one very general model: the mixture of hidden truncation hyperbolic factor
analyzers (MHTHFA) model. In the process of doing this, a hidden truncation
hyperbolic factor analysis model is also introduced. The MHTHFA model is
illustrated for clustering as well as semi-supervised classification using two
real datasets.
