Statistical Detection Theory Statistical Detection Theory I Wenhui Xiong NCL UESTC whxiong@uestc.edu.cn
whxiong@uestc.edu.cn Statistical Detection Theory Statistical Detection Theory I Wenhui Xiong NCL UESTC
Outline Deterministic Approach Neyman-Person Theorem Receiver Operation Characteristics ●Bayesian Approach Minimum Probability of Error 。Bayes Risk Multiple Hypothesis Test whxiong@uestc.edu.cn 2
whxiong@uestc.edu.cn Deterministic Approach Neyman-Person Theorem Receiver Operation Characteristics Bayesian Approach Minimum Probability of Error Bayes Risk Multiple Hypothesis Test Outline 2
Neyman-Person Theorem (1/7) Detection is Hypothesis test from observations whxiong@uestc.edu.cn 3
whxiong@uestc.edu.cn Neyman-Person Theorem (1/7) 3 Detection is Hypothesis test from observations
Neyman-Person Theorem (1/7) Detection is Hypothesis test from observations Ho Nothing but noise Null hypo. whxiong@uestc.edu.cn 4
whxiong@uestc.edu.cn Neyman-Person Theorem (1/7) 4 Detection is Hypothesis test from observations H0 Nothing but noise Null hypo
Neyman-Person Theorem (1/7) Detection is Hypothesis test from observations Ho Nothing but noise Null hypo. H Something with noise Alternative hypo. whxiong@uestc.edu.cn 5
whxiong@uestc.edu.cn Neyman-Person Theorem (1/7) 5 Detection is Hypothesis test from observations H0 Nothing but noise Null hypo. H1 Something with noise Alternative hypo