Basic Bayesian Theory
Recall that for Bayesian inference:
The denominator is the marginal probability of the data, averaged over all possible parameter values weighted by their prior distribution. Formally,
where is the parameter space for .
In the original Metropolis algorithm, given a current -value, and a new -value, the new value is accepted with probability:
Read more about this topic: Bayesian Inference In Phylogeny
Famous quotes containing the words basic and/or theory:
“Unlike femininity, relaxed masculinity is at bottom empty, a limp nullity. While the female body is full of internal potentiality, the male is internally barren.... Manhood at the most basic level can be validated and expressed only in action.”
—George Gilder (b. 1939)
“Could Shakespeare give a theory of Shakespeare?”
—Ralph Waldo Emerson (1803–1882)