Unformatted text preview: han the original pair depends on
considerations not modeled here.
So far, we have discussed decision rules in general. But which decision rule should be used? The
two most widely used methods for coming up with decision rules are described next. Each decision
rule has a corresponding pair pfalse alarm and pmiss . The philosophy we recommend for a given realworld application is to try to evaluate the pair of conditional error probabilities (pfalse alarm , pmiss ) for
multiple decision rules and then make a ﬁnal selection of decision rule. 2.11.1 Maximum likelihood (ML) decision rule The ML decision rule declares the hypothesis which maximizes the probability (or likelihood) of
the observation. Operationally, the ML decision rule can be stated as follows: Underline the larger
2 Use of “false alarm” is common in the signal processing literature. This is called a “type I error” in the statistics
literature. The word “miss” is used in the signal processing literature for the other ty...
View Full Document
This note was uploaded on 02/09/2014 for the course ISYE 2027 taught by Professor Zahrn during the Spring '08 term at Georgia Tech.
- Spring '08
- The Land