Use-case
The Likelihood Ratio defines a Discriminant Function without biases (priors) in the context of a Bayesian classifier.
Mathematical Definition
For a two class case,
Variants of the threshold:
- Maximum Likelihood Decision
Simple decision
- Bayes Decision
Makes use of Prior
- Bayes Risk Decision
Use Prior and Cost
Note: is the cost of deciding state given state is true, so an and so forth.
Note: The threshold has same units as the axis.