Density function for multivaiiate gaussian distribution :
pWn.Z) = |-^r-^jTexp[-lxr AT1 x +}xr A"! p + jur A'"1 x-\/ A"1 p]
p{x\n,K) = l^jłexp[ Pr A"' x-i AT1 xxr —jpr A-1 p]
Form of density function for exponential familly distribution :
/>(x|j?) = A(x)£(/?) exp[rjr u(x)]
Parameters for multivariate Gaussian distribution :
n =
n KT -Ijr-i 2A
\xx-
gin) = —1~ exp[rii < 2łjj)'1 nl +tylog(|»?2|)]
natna4u.pl
(2rr)2