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Gaussian Random Vectors - Math

Gaussian Random Vectors - Math

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Gaussian Random Vectors 1. The multivariate normal distribution Let X:= (X1 ￿￿￿￿￿X￿)￿ be a random vector. We say that X is a Gaussian random vector if we can write X = µ +AZ￿ where µ ∈ R￿, A is an ￿ × ￿ matrix and Z:= (Z1 ￿￿￿￿￿Z￿)￿ is a ￿-vector of i.i.d. standard normal random variables. Proposition 1.

  Matrix, Vector, Random, Random vectors

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