lec2_09

lec2_09 - Boundary points can be assigned to either...

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1 The problem
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2 Binary Hypothesis Testing
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3 Previous Example Making decisions – Threshold rule • Depends on mean and variance • Depends on prior probabilities – Maximum likelihood rule • When the two pdfs “cross” each other • minimizes the probability of error when equal priors (and uniform costs)
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4 Comments Bayes rule is a likelihood ratio test (LRT)
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Unformatted text preview: Boundary points can be assigned to either decision region (does not affect risk) A deterministic Bayes rule always exists can be discontiguous 5 Comments Decision rule not dependent on the realization of the hypothesis Bayes rule has optimal Bayes risk 6 Defining Bayes Risk 7 Bayes Rule...
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lec2_09 - Boundary points can be assigned to either...

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