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Multivariate normal distribution

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or to make it explicitly known that X is k-dimensional, with k-dimensional mean vector and k x k covariance matrix Definition A random vector x = (X1, …, Xk)' is said to have the multivariate normal distribution if it satisfies the following equivalent conditions.[1] Every linear combination of its components Y = a1X1 + … + akXk is normally distributed. . That is, for any constant v

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