On the Multivariate t Distribution, Report no. LiTH-ISY-R-3059

نویسنده

  • Michael Roth
چکیده

This technical report summarizes a number of results for the multivariate t distribution which can exhibit heavier tails than the Gaussian distribution. It is shown how t random variables can be generated, the probability density function (pdf) is derived, and marginal and conditional densities of partitioned t random vectors are presented. Moreover, a brief comparison with the multivariate Gaussian distribution is provided. The derivations of several results are given in an extensive appendix.

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تاریخ انتشار 2013