On Sampling from the Multivariate t Distribution

Abstract:

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.

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Author

Affiliation

Marius Hofert

 

Published

Nov. 3, 2013

Received

Apr 29, 2013

DOI

10.32614/RJ-2013-033

Volume

Pages

5/2

129 - 136

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

Footnotes

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    Text and figures are licensed under Creative Commons Attribution CC BY 4.0. The figures that have been reused from other sources don't fall under this license and can be recognized by a note in their caption: "Figure from ...".

    Citation

    For attribution, please cite this work as

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

    BibTeX citation

    @article{RJ-2013-033,
      author = {Hofert, Marius},
      title = {The R Journal: 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}
    }