A.24 Multivariate normal distribution

An n-dimensional random vector  has a multivariate normal distribution with mean vector  and variance–covariance matrix  , denoted

Unnumbered Display Equation

if it has joint density function

Unnumbered Display Equation

It can be checked by finding the determinant of the  variance–covariance matrix

Unnumbered Display Equation

and inverting it that the bivariate normal distribution is a special case.

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