the only distribution where only the second order term is non-vanishing, all other distributions have an infinite amount of other terms in their respective Taylor expansions. Though these additional contributions might be small. To find the one(two)-dimensional confidence intervals in the general case there are two possibilities (i) directly integrating the posterior or (ii) sampling from the posterior distribution with MCMC (Markov chain Monte Carlo). Since the problem at hand is low dimensional d = 2 method (i) will be used. The details are described in section 5.