Calculate the parameters of the Normal-Gamma that best approximates the given Multivariate Normal distribution. The distribution obtained for each outcome is marginal. The approximation is the best in the sense that it minimizes the KL divergence from the Normal to the Normal-Gamma. In this approach, we suppose that the first entry of the multivariate normal represents the mean of the observed data and the second represent the log variance.
convert_multi_NG_Normal(ft, Qt, parms)
Arguments
ft: numeric: A vector representing the means from the normal distribution.
Qt: matrix: A matrix representing the covariance matrix of the normal distribution.
parms: list: A list of extra known parameters of the distribution. Not used in this kernel.
Returns
The parameters of the conjugated distribution of the linear predictor.
See Also
Other auxiliary functions for a Normal outcome: multi_normal_gamma_pred(), normal_pred(), update_Normal()