edition, ch15, p.29 • application of decision theory:...

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2 nd Edition, Ch15, p.29 • Application of Decision Theory: Classification Formulation of Classification Problem (2 nd Ed., TBp.581) 2 nd Edition, Ch15, p.30 Theorem 10.8 (Bayes rule for Classification, 2 nd Ed., TBp.581) Example 10.10 (0-1 loss, 2 nd Ed., TBp. 581-582) NTHU MATH 2820, 2020 Lecture Notes made by S.-W. Cheng (NTHU, Taiwan)

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Page 1: Edition, Ch15, p.29 • Application of Decision Theory: Classificationswcheng/Teaching/math2820/lecture/... · 2020. 6. 16. · 2nd Edition, Ch15, p.31 Example 10.11 (waiting times

2nd Edition, Ch15, p.29

• Application of Decision Theory: Classification

Formulation of Classification Problem (2nd Ed., TBp.581)

2nd Edition, Ch15, p.30

Theorem 10.8 (Bayes rule for Classification, 2nd Ed., TBp.581)

Example 10.10 (0-1 loss, 2nd Ed., TBp. 581-582)

NTHU MATH 2820, 2020 Lecture Notes

made by S.-W. Cheng (NTHU, Taiwan)

Page 2: Edition, Ch15, p.29 • Application of Decision Theory: Classificationswcheng/Teaching/math2820/lecture/... · 2020. 6. 16. · 2nd Edition, Ch15, p.31 Example 10.11 (waiting times

2nd Edition, Ch15, p.31

Example 10.11 (waiting times between emissions, 2nd Ed., TBp. 582)

X

θ

2nd Edition, Ch15, p.32

• Application of Decision Theory: Hypothesis Testing

NTHU MATH 2820, 2020 Lecture Notes

made by S.-W. Cheng (NTHU, Taiwan)

Page 3: Edition, Ch15, p.29 • Application of Decision Theory: Classificationswcheng/Teaching/math2820/lecture/... · 2020. 6. 16. · 2nd Edition, Ch15, p.31 Example 10.11 (waiting times

2nd Edition, Ch15, p.33

2nd Edition, Ch15, p.34

Theorem 10.9 (Neyman-Pearson Lemma from Bayesian viewpoint, 2nd Ed., TBp.583)

NTHU MATH 2820, 2020 Lecture Notes

made by S.-W. Cheng (NTHU, Taiwan)

Page 4: Edition, Ch15, p.29 • Application of Decision Theory: Classificationswcheng/Teaching/math2820/lecture/... · 2020. 6. 16. · 2nd Edition, Ch15, p.31 Example 10.11 (waiting times

2nd Edition, Ch15, p.35

Example 10.12 (hypothesis testing of exponential distribution, 2nd Ed., TBp. 583)

Reading: textbook (2nd ed.), 15.2.3

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NTHU MATH 2820, 2020 Lecture Notes

made by S.-W. Cheng (NTHU, Taiwan)