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Probability and Statistics

Mathematical statistics, Probability theory, etc

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ML/DL๊ณผ ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ๊ณต๋ถ€ํ•˜๋ฉด์„œ, ํ™•๋ฅ ๋ก ๊ณผ ํ†ต๊ณ„ํ•™์— ๋Œ€ํ•œ ๋ฒ ์ด์Šค๊ฐ€ ๋ถ€์กฑํ•จ์„ ๋Š๋‚€ ์ ์ด ๊ฝค ๋งŽ์•˜์Šต๋‹ˆ๋‹ค. ๊ทธ๋ž˜์„œ ์–ธ์  ๊ฐ€ ํ•œ๋ฒˆ ๋ฐฉํ•™๋•Œ ์ด๋Ÿฐ ๋ถ€๋ถ„๋“ค์„ ๊ณต๋ถ€ํ•˜๋Š” ๊ธฐํšŒ๋ฅผ ์‚ผ์œผ๋ ค๊ณ  ํ•˜๋Š”๋ฐ, ์™„์ „ ๋…ํ•™์„ ํ•˜๋‹ค๋ณด๋‹ˆ motivation์ด ๋„ˆ๋ฌด ๋–จ์–ด์ ธ์„œ ์—ฌ๊ธฐ์— ์ •๋ฆฌํ•˜๋ฉด์„œ ๊ณต๋ถ€ํ•˜๋ ค ํ•ฉ๋‹ˆ๋‹ค.

Mathematical Statistics

๊ณต๋ถ€ํ•˜๋Š” ์ฑ…์€ ์„œ์šธ๋Œ€ํ•™๊ต ํ†ต๊ณ„ํ•™๊ณผ ์ˆ˜๋ฆฌํ†ต๊ณ„ ๊ณผ๋ชฉ์˜ ๊ต๊ณผ์„œ์ธ โ€œ์ˆ˜๋ฆฌํ†ต๊ณ„ํ•™(๊น€์šฐ์ฒ  ๊ต์ˆ˜๋‹˜ ์ €)โ€ ์ž…๋‹ˆ๋‹ค.

Topic Book Chapter
Definition of Probability, Conditional Probability 1.1 - 1.2
Random variables, Expectations 1.3 - 1.5
Useful Inequalities 1.6
Bivariate random variables 2.1 - 2.2
Bivariate Conditional distributions 2.3 - 2.4
Multivariate distributions 2.5
Discrete probability distributions 3.1 - 3.3
Poisson distribution 3.4
Continuous probability distributions 3.5
Normal distribution 3.6, 4.4
Sample distributions 4.1 - 4.2
Order statistics 4.3
Central Limit Theorem 5.1
Limit distribution 5.2 - 5.3
Method of Moments Estimation 6.1
Maximum Likelihood Estimation 6.2 - 6.3
Maximum Likelihood Estimation : Properties 6.5
Least Square Estimation 6.5