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1 Multivariate Normal Distribution - Princeton University

1 Multivariate Normal Distribution - Princeton University

www.cs.princeton.edu

1 Multivariate Normal Distribution The multivariate normal distribution (MVN), also known as multivariate gaussian, is a generalization of the one-dimensional normal distribution to higher dimensions. The probability density function (pdf) of an MVN for a random vector x2Rd as follows: N(xj ;) , 1 (2ˇ)d=2j j1=2 exp 1 2 (x )T 1(x ) (1)

  Normal, Multivariate, Multivariate normal, 1 multivariate normal

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