課程名稱 |
數理統計 Mathematical Statistics |
開課學期 |
101-1 |
授課對象 |
公共衛生學院 流預所生物醫學統計組 |
授課教師 |
洪 弘 |
課號 |
EPM8089 |
課程識別碼 |
849 D0350 |
班次 |
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學分 |
3 |
全/半年 |
半年 |
必/選修 |
必修 |
上課時間 |
星期四6,7,8(13:20~16:20) |
上課地點 |
公衛505 |
備註 |
1.生統組博班必修課程。 總人數上限:25人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1011MS |
課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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課程概述 |
This course is designed for those students in the field of Biostatistics who are interested in the principles of statistics. The goal of this class is to provide students the concepts, methods, and related theories to make statistical inferences. More specifically, the course will focus on 3 topics: point estimation, hypothesis testing, and asymptotic evaluations. Some basic probability concepts will also be reviewed in a fast pace. |
課程目標 |
To rigorously understand the principles of making statistical inference. |
課程要求 |
Calculus, Statistics, Probability |
預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
1. Casella, G. and Berger, R. L. (2002). Statistical Inference, 2nd edition.
Duxbury.
2. John A. Rice (2007). Mathematical Statistics and Data Analysis, 3rd edition.
Duxbury.
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評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
Homework |
20% |
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2. |
Quiz |
10% |
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3. |
Midterm |
35% |
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4. |
Final |
35% |
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週次 |
日期 |
單元主題 |
第1週 |
9/13 |
集合與cdf, cmf, pdf, pmf,random variable |
第2週 |
9/20 |
Distributions of functions of a R.V.
The Expected Values
Moments and MGF (moment generating functions)
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第3週 |
9/27 |
離散分布(Discrete Distributions)
連續分布(Continuous Distributions)
指數族(Exponential Families)的寫法與判定 |
第4週 |
10/4 |
1. Joint and marginal distributions
2. Conditional Distributions and Independence |
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