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Chapter 9




                             Statistical Pattern Recognition










                             9.1 Introduction
                             Statistical pattern recognition is an application in computational statistics
                             that uses many of the concepts we have covered so far, such as probability
                             density estimation and cross-validation. Examples where statistical pattern
                             recognition techniques can be used are numerous and arise in disciplines
                             such as medicine, computer vision, robotics, military systems, manufactur-
                             ing, finance and many others. Some of these include the following:

                                • A doctor diagnoses a patient’s illness based on the symptoms and
                                   test results.
                                • A radiologist locates areas where there is non-healthy tissue in x-
                                   rays.
                                • A military analyst classifies regions of an image as natural or man-
                                   made for use in targeting systems.
                                • A  geologist  determines whether a  seismic signal represents  an
                                   impending earthquake.
                                • A loan manager  at a bank  must decide  whether a customer is a
                                   good credit risk based on their income, past credit history and other
                                   variables.
                                • A manufacturer must classify the quality of materials before using
                                   them in their products.

                             In all of these applications, the human is often assisted by statistical pattern
                             recognition techniques.
                              Statistical methods for pattern recognition are covered in this chapter. In
                             this section, we first provide a brief introduction to the goals of pattern rec-
                             ognition and a broad overview of the main steps of building classifiers. In
                             Section 9.2 we present a discussion of Bayes classifiers and pattern recogni-
                             tion in an hypothesis testing framework. Section 9.3 contains techniques for




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