Bayesian Inference
Bayesian Inference
- Uncertainty about state of world is represented by a probability distribution over states
- Probability is a rational agent’s degree of belief about uncertain states of the world
- Beliefs are updated by conditioning on new information about the world
- If there are “true” probabilities, any nondogmatic Bayesian who collects enough information will eventually learn them to within a close approximation
Prior odds ratio
Likelihood ratio
Posterior odds ratio