On Sampling from the Multivariate t Distribution

The multivariate normal and the multivariate t distributions belong to the most widely used multivariate distributions in statistics, quantitative risk management, and insurance. In contrast to the multivariate normal distribution, the parameterization of the multivariate t distribution does not correspond to its moments. This, paired with a non-standard implementation in the R package mvtnorm, provides traps for working with the multivariate t distribution. In this paper, common traps are clarified and corresponding recent changes to mvtnorm are presented.

Marius Hofert
2013-11-04

CRAN packages used

mvtnorm, MASS, evir, mnormt, QRM

CRAN Task Views implied by cited packages

Distributions, Multivariate, Environmetrics, ExtremeValue, Econometrics, Finance, NumericalMathematics, Pharmacokinetics, Psychometrics, Robust, SocialSciences

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Citation

For attribution, please cite this work as

Hofert, "On Sampling from the Multivariate t Distribution", The R Journal, 2013

BibTeX citation

@article{RJ-2013-033,
  author = {Hofert, Marius},
  title = {On Sampling from the Multivariate t Distribution},
  journal = {The R Journal},
  year = {2013},
  note = {https://doi.org/10.32614/RJ-2013-033},
  doi = {10.32614/RJ-2013-033},
  volume = {5},
  issue = {2},
  issn = {2073-4859},
  pages = {129-136}
}