As of Version 8, MultinormalDistribution is part of the built-in Mathematica kernel.

represents a multivariate normal (Gaussian) distribution with mean vector and covariance matrix .


  • To use , you first need to load the Multivariate Statistics Package using Needs["MultivariateStatistics`"].
  • The probability density for vector x in a multivariate normal distribution is proportional to .
  • The mean can be any vector of real numbers, and can be any symmetric positive definite p×p matrix with p=Length[].
  • can be used with such functions as Mean, CDF, and RandomReal.
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