Classifier

A function that takes a Score Function and reduces it down into a discrete set of cases.

$$C_t(x)=\{\begin{array}{ll}0& \text{ if }S(x)<t\\ 1& \text{ if }S(x)\ge t\end{array}$$

Where:

• $x$ is the given Event from RV $X$
• $S(\cdot )$ is the Score Function
• $t$ is the threshold, often determined by a Receiver Operating Characteristic