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update images
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BlueHorn07 committed Dec 27, 2024
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Expand Up @@ -34,7 +34,7 @@ P(A) = \sum^{n}_{i=1} P(A \cap B_i)
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<div class="img-wrapper">
<img src= "https://i.stack.imgur.com/Cx0CA.png" style="width:200px;">
<img src="/images/mathematics/probability-and-statistics/event-partition.png" style="width:200px;">
</div>

</div>
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# Meaning of Bayes Rule

<div class="img-wrapper">
<img src= "{{"/images/mathematics/probability-and-statistics/bayes-rule-1.png" | relative_url }}" width="100%">
<img src= "/images/mathematics/probability-and-statistics/bayes-rule-1.png" width="100%">
</div>

베이즈 μ •λ¦¬λŠ” <span style="color: red">μ΄λ²€νŠΈμ— λŒ€ν•œ 원인을 규λͺ…ν•˜λŠ” 도ꡬ</span>이닀. μ–΄λ–€ μ΄λ²€νŠΈκ°€ μΌμ–΄λ‚˜λŠ” κ²ƒμ—λŠ” 원인이 μžˆλ‹€. 이 원인듀은 2κ°œκ°€ λ™μ‹œμ— λ°œμƒν•˜μ§€λŠ” μ•ŠλŠ” Exclusive ν•˜λ‹€κ³  κ°€μ •ν•œλ‹€.
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베이즈 정리λ₯Ό κ΄€μΈ‘(evidence)에 λ”°λ₯Έ 믿음(belief)의 λ³€ν™”λ‘œ μ΄ν•΄ν•œ 것이 \<Bayesian; 베이즈 주의자\>듀이닀.

<div class="img-wrapper">
<img src= "{{"/images/mathematics/probability-and-statistics/bayes-rule-2.png" | relative_url }}" width="100%">
<img src= "/images/mathematics/probability-and-statistics/bayes-rule-2.png" width="100%">
</div>

μ•žμ—μ„œ μ‚΄νŽ΄λ³Έ "μ½”λ‘œλ‚˜μ— κ±Έλ¦° λΈ”ν˜Ό"의 μ˜ˆμ‹œλ₯Ό λ‹€μ‹œ 보자. κ·ΈλŠ” ν‚€νŠΈλ‘œ μ–‘μ„±(+) νŒμ •μ„ λ°›κΈ° μ „μ—λŠ” μžμ‹ μ˜ 감기가 μ½”λ‘œλ‚˜μΌ κ±°λΌλŠ” 믿음이 $P(C) = 0.4$에 뢈과 ν–ˆλ‹€. κ·ΈλŸ¬λ‚˜ ν‚€νŠΈλ‘œ μ–‘μ„± νŒμ •μ„ 받은 ν›„μ—λŠ” μžμ‹ μ΄ μ½”λ‘œλ‚˜μ— 걸렸을 κ±°λΌλŠ” 믿음 $P(C \mid +)$이 $0.98$둜 μΉ˜μ†Ÿμ•˜λ‹€!
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