Mixtures of multivariate Student's t distributions are widely used for clustering data that may contain outliers, but scipy and scikit-learn do not at present offer classes for fitting Student's t mixture models. This package provides classes for:

1. Modeling / clustering a dataset using a finite mixture of multivariate Student's t distributions fit via the EM algorithm. This is analogous to scikit-learn's GaussianMixture.
2. Modeling / clustering a dataset using a mixture of multivariate Student's t distributions fit via the variational mean-field approximation. This is analogous to scikit-learn's BayesianGaussianMixture.

Unittests for the package are in the tests folder.

pip install studenttmixture

Note that starting in version 0.0.2.3, this package contains C extensions and is therefore distributed as a source distribution which is automatically compiled on install.

It is unusual but problems with source distribution pip packages that contain C extensions are occasionally observed on Windows, e.g. an error similar to this:

error: Microsoft Visual C++ 14.0 is required.

in the unlikely event you encounter this, I recommend the solution described under this StackOverflow and links.

• EMStudentMixture
  
• VariationalStudentMixture
  
• Tutorial: Modeling with mixtures
  

• Deriving the mean-field formula