Other Cases
In general, it may be impossible or impractical to derive the posterior distribution analytically. However, it is possible to approximate the posterior by an approximate Bayesian inference method such as Monte Carlo sampling or variational Bayes.
The special case is called ridge regression.
A similar analysis can be performed for the general case of the multivariate regression and part of this provides for Bayesian estimation of covariance matrices: see Bayesian multivariate linear regression.
Read more about this topic: Bayesian Linear Regression
Famous quotes containing the word cases:
“There are few cases in which mere popularity should be considered a proper test of merit; but the case of song-writing is, I think, one of the few.”
—Edgar Allan Poe (1809–1845)
“Colonel, never go out to meet trouble. If you will just sit still, nine cases out of ten someone will intercept it before it reaches you.”
—Calvin Coolidge (1872–1933)