National Taiwan University
頑想學概率:機率二 (Probability (2))
National Taiwan University

頑想學概率:機率二 (Probability (2))

葉丙成

Instructor: 葉丙成

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12 hours to complete
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Gain insight into a topic and learn the fundamentals.
4.8

(92 reviews)

12 hours to complete
3 weeks at 4 hours a week
Flexible schedule
Learn at your own pace

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Assessments

6 assignments

Taught in Chinese (Traditional)

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There are 5 modules in this course

歡迎各位小夥伴加入「頑想學概率:機率二」!本課程延續「頑想學概率:機率一」,是前者的進階課程。在這一週我們將介紹專於於連續隨機變數的一個函數──機率密度函數 PDF ──並介紹連續機率分布。

What's included

5 videos2 readings1 assignment

本週我們將延續上週還沒說完的連續機率分布,並介紹離散的隨機變數期望值。

What's included

9 videos1 assignment

上週提到離散的隨機變數期望值,本週我們會談到離散的隨機變數期望值該怎麼算出來?在 7-2 和 7-3 我們會了解隨機變速的函數、條件的幾率分佈、和失憶性──之前我們有提到 Geometric Distribution 跟Exponential 都是失憶性的這種幾率分佈,那什麼叫失憶性 (Memoryless) 呢?

What's included

7 videos1 assignment

前面幾個禮拜我們所考慮的問題都是只有一個隨機變數的狀況,這週我們要介紹聯合機率分布 (Joint probability distribution)、邊際機率分布 (Marginal probability distribution),探討:如果有兩個隨機變數的話會有什麼不一樣的地方?期望值又是怎麼定義的?

What's included

8 videos1 assignment

頑想學概率最後一週課程,內容一樣有趣又充實!如果有好幾個隨機變數我們把它加在一起, 那加在一起之後產生的這個新的隨機變數,它的這個機率分布到底是什麼呢?MGF (Moment Generating Function) 是什麼?該怎麼用它找到隨機變數的機率分布?還有一定要知道的機率學中最重要的「萬佛朝宗」定理──中央極限定理!

What's included

9 videos2 assignments

Instructor

Instructor ratings
5.0 (5 ratings)
葉丙成
National Taiwan University
2 Courses21,202 learners

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