Use-case
The Likelihood ratio is another way of writing the Bayes rule. It conveniently allows the use of a threshold which dictates which classification or decision is to be made.
Mathematical Definition
For a two class case,
Variants of the threshold:
- Maximum Likelihood Decision
- Bayes Decision
- Bayes Risk Decision
Note: is the cost of deciding state given state is true, so an and so forth.
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Note: The threshold has same units as the axis.