The standard multivariate gaussian is given by: http://upload.wikimedia.org/math/1/c/d/1cd250fc27ef7b7a9da469416333d07f.png taken from: http://en.wikipedia.org/wiki/Multivariate_normal_distribution The parameters can be estimated using: http://en.wikipedia.org/wiki/Estima...tion_for_the_multivariate_normal_distribution and: http://en.wikipedia.org/wiki/Normal_distribution#Estimation_of_parameters But given those parameters how are MAP (maximum posterior) or the "mode" computed? Again from wiki: "The parameter μ is at the same time the mean, the median and the mode of the normal distribution" In a bayes context MAP can somtimes be estimated as: MAP = ML*Prior