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Coursera: 頑想學概率:機率二

 with  Prof. 葉丙成 Ping-Cheng Yeh (Benson)
這是一個機率的入門課程,著重的是教授機率基本概念。另外我們的作業將搭配臺大電機系所開發的多人競技線上遊戲方式,讓同學在遊戲中快樂的學習,快速培養同學們對於機率的洞察力與應用能力。

Syllabus

Week 5
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。

WEEK 6
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。

WEEK 7
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?

WEEK 8
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?

WEEK 9
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!

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Cost Free Online Course (Audit)
Pace Upcoming
Subject Mathematics
Provider Coursera
Language Chinese
Certificates Paid Certificate Available
Calendar 5 weeks long
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